From 453bbba3bfbbef4f39161c3dfb73be506a345ea8 Mon Sep 17 00:00:00 2001 From: Thomas Coratger Date: Mon, 16 Mar 2026 23:00:47 +0100 Subject: [PATCH 1/5] cryptography: replace Poseidon2 by Poseidon1 --- .codespell-ignore-words.txt | 2 +- .../test_keys/test_scheme/0.json | 8 +- .../test_keys/test_scheme/1.json | 8 +- .../test_keys/test_scheme/10.json | 8 +- .../test_keys/test_scheme/11.json | 8 +- .../test_keys/test_scheme/2.json | 8 +- .../test_keys/test_scheme/3.json | 8 +- .../test_keys/test_scheme/4.json | 8 +- .../test_keys/test_scheme/5.json | 8 +- .../test_keys/test_scheme/6.json | 8 +- .../test_keys/test_scheme/7.json | 8 +- .../test_keys/test_scheme/8.json | 8 +- .../test_keys/test_scheme/9.json | 8 +- src/lean_spec/subspecs/containers/__init__.py | 2 +- src/lean_spec/subspecs/poseidon1/__init__.py | 15 + src/lean_spec/subspecs/poseidon1/constants.py | 1219 +++++++++++++++++ .../subspecs/poseidon1/permutation.py | 285 ++++ src/lean_spec/subspecs/poseidon2/__init__.py | 15 - src/lean_spec/subspecs/poseidon2/constants.py | 388 ------ .../subspecs/poseidon2/permutation.py | 355 ----- src/lean_spec/subspecs/validator/registry.py | 4 +- src/lean_spec/subspecs/xmss/constants.py | 2 +- src/lean_spec/subspecs/xmss/message_hash.py | 12 +- src/lean_spec/subspecs/xmss/poseidon.py | 48 +- src/lean_spec/subspecs/xmss/tweak_hash.py | 14 +- src/lean_spec/subspecs/xmss/types.py | 4 +- .../subspecs/poseidon1/test_permutation.py | 99 ++ .../subspecs/poseidon2/test_permutation.py | 132 -- .../subspecs/validator/test_registry.py | 12 +- .../subspecs/xmss/test_strict_types.py | 18 +- 30 files changed, 1725 insertions(+), 997 deletions(-) create mode 100644 src/lean_spec/subspecs/poseidon1/__init__.py create mode 100644 src/lean_spec/subspecs/poseidon1/constants.py create mode 100644 src/lean_spec/subspecs/poseidon1/permutation.py delete mode 100644 src/lean_spec/subspecs/poseidon2/__init__.py delete mode 100644 src/lean_spec/subspecs/poseidon2/constants.py delete mode 100644 src/lean_spec/subspecs/poseidon2/permutation.py create mode 100644 tests/lean_spec/subspecs/poseidon1/test_permutation.py delete mode 100644 tests/lean_spec/subspecs/poseidon2/test_permutation.py diff --git a/.codespell-ignore-words.txt b/.codespell-ignore-words.txt index 5c0c89e5..8957ca0c 100644 --- a/.codespell-ignore-words.txt +++ b/.codespell-ignore-words.txt @@ -4,7 +4,7 @@ subspecs crate crates ethereum -poseidon2 +poseidon1 keccak blake merkle diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/0.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/0.json index 78197d5a..b900b4cd 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/0.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/0.json @@ -1,6 +1,6 @@ { - "attestation_public": "cd64341d83f28533f239153535b45209592342325ed31a5792b2e61935648748d41c384850baf6386c43bf19bfb63f53eb2c8c0b", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/1.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/1.json index 8e28eb3b..ee549c3c 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/1.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/1.json @@ -1,6 +1,6 @@ { - "attestation_public": "0c8f12450a0f4375d8f387643a66bd4084a76a522062790d8e961b38dfe3497444af494376e3c76f3007681a4016221434cdf51d", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/10.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/10.json index 3d3279fa..e7d70158 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/10.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/10.json @@ -1,6 +1,6 @@ { - "attestation_public": "1ae58b0b0a58156ab01c693762f5684981b9fc2086c23640cf626e0ed4d58d6a6963661a3b1f533023d6e40d6f67911c47b7f202", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/11.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/11.json index 1e369cd9..5982808b 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/11.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/11.json @@ -1,6 +1,6 @@ { - "attestation_public": "6896ce362c90600b0ccabd6c03065822c8518237c4eb156140a5752158175c0c2d3b575bc6c989607c80c43f90ccb76c34a00f23", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/2.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/2.json index 7e0e66b1..8eb7e7ba 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/2.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/2.json @@ -1,6 +1,6 @@ { - "attestation_public": "454d107dc0156e61baee057497d5667adb027d68f6fffb2bc61c6a38e45eed3531c9bd77e64f610044b26b1ec4047929bcfed946", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/3.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/3.json index ace50932..a7a5d9b5 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/3.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/3.json @@ -1,6 +1,6 @@ { - "attestation_public": "f19bf07520b1e97b131a55666bfe3e74cca720785f414d6b3e5d6f1616f35f7ab0e82123e74c2c766f970a233d0d19725a7d4d36", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/4.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/4.json index 3f93f7c8..9c31cf32 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/4.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/4.json @@ -1,6 +1,6 @@ { - "attestation_public": "4f4474010e829808734d51051d4a4656568e10247e1fc004b13c836f4f4d954f81cf9d193c40d3513ad9436e10a9354ca07adc24", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/5.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/5.json index 097ad2b3..03583e25 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/5.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/5.json @@ -1,6 +1,6 @@ { - "attestation_public": "8211d250c8c5e55178edd51b6657a50a21b1257898aeaf2b2c48524cc796d259056b0769dd8c434944b1934ddcaec2462f3d5839", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/6.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/6.json index b497ddbc..46e22055 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/6.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/6.json @@ -1,6 +1,6 @@ { - "attestation_public": "9629d25415dd57261bd9a041e9afe7089aa7f548b9023b580d466f7239ae5b53a24d5e0a307db6420fc2cc67d1435c0547dabe30", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/7.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/7.json index 0fbed6a7..5b2ee0c3 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/7.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/7.json @@ -1,6 +1,6 @@ { - "attestation_public": "7675f751a6c1821f92daa3513134d055f75b155011f44058b1376919bd623318a5ae8541557404301f3c8d14c15109654f2eab44", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/8.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/8.json index 8caa7aba..b1fd7dea 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/8.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/8.json @@ -1,6 +1,6 @@ { - "attestation_public": "2613016582d86a2e74c1f040efde24203e247f0769d15362b7ae885537b5532cc7383d4b64ab89203854bd21ba4f893f33e1ec7c", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/9.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/9.json index 301828c7..d9fbd6e7 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/9.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/9.json @@ -1,6 +1,6 @@ { - "attestation_public": "36846e17116bbb09d7dce812b2a0901f2725b47e7c0fac174e7d8c2287c7a77e61982d1b7620991ce6e16641dc8c333a23ed1317", - "attestation_secret": 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} \ No newline at end of file diff --git a/src/lean_spec/subspecs/containers/__init__.py b/src/lean_spec/subspecs/containers/__init__.py index d5588d5b..6dffe32d 100644 --- a/src/lean_spec/subspecs/containers/__init__.py +++ b/src/lean_spec/subspecs/containers/__init__.py @@ -5,7 +5,7 @@ efficient merkleization. Hash functions used for merkleization differ by devnet. Early devnets use -SHA256. Later devnets will switch to Poseidon2 for better SNARK compatibility. +SHA256. Later devnets will switch to Poseidon1 for better SNARK compatibility. """ from .attestation import ( diff --git a/src/lean_spec/subspecs/poseidon1/__init__.py b/src/lean_spec/subspecs/poseidon1/__init__.py new file mode 100644 index 00000000..04f4932f --- /dev/null +++ b/src/lean_spec/subspecs/poseidon1/__init__.py @@ -0,0 +1,15 @@ +"""Specification for the Poseidon1 permutation.""" + +from .permutation import ( + PARAMS_16, + PARAMS_24, + Poseidon1, + Poseidon1Params, +) + +__all__ = [ + "Poseidon1", + "Poseidon1Params", + "PARAMS_16", + "PARAMS_24", +] diff --git a/src/lean_spec/subspecs/poseidon1/constants.py b/src/lean_spec/subspecs/poseidon1/constants.py new file mode 100644 index 00000000..39c4159b --- /dev/null +++ b/src/lean_spec/subspecs/poseidon1/constants.py @@ -0,0 +1,1219 @@ +"""Round constants for the Poseidon1 permutation over the KoalaBear field.""" + +from __future__ import annotations + +from ..koalabear.field import Fp + +# For width 16: 28 rounds x 16 = 448 constants +# Layout: initial_full (4 x 16) + partial (20 x 16) + terminal_full (4 x 16) +_RAW_CONSTANTS_16: list[int] = [ + # Initial full rounds (4 rounds x 16 constants) + 0x7EE56A48, + 0x11367045, + 0x12E41941, + 0x7EBBC12B, + 0x1970B7D5, + 0x662B60E8, + 0x3E4990C6, + 0x679F91F5, + 0x350813BB, + 0x00874AD4, + 0x28A0081A, + 0x18FA5872, + 0x5F25B071, + 0x5E5D5998, + 0x5E6FD3E7, + 0x5B2E2660, + 0x6F1837BF, + 0x3FE6182B, + 0x1EDD7AC5, + 0x57470D00, + 0x43D486D5, + 0x1982C70F, + 0x0EA53AF9, + 0x61D6165B, + 0x51639C00, + 0x2DEC352C, + 0x2950E531, + 0x2D2CB947, + 0x08256CEF, + 0x1A0109F6, + 0x1F51FAF3, + 0x5CEF1C62, + 0x3D65E50E, + 0x33D91626, + 0x133D5A1E, + 0x0FF49B0D, + 0x38900CD1, + 0x2C22CC3F, + 0x28852BB2, + 0x06C65A02, + 0x7B2CF7BC, + 0x68016E1A, + 0x15E16BC0, + 0x5248149A, + 0x6DD212A0, + 0x18D6830A, + 0x5001BE82, + 0x64DAC34E, + 0x5902B287, + 0x426583A0, + 0x0C921632, + 0x3FE028A5, + 0x245F8E49, + 0x43BB297E, + 0x7873DBD9, + 0x3CC987DF, + 0x286BB4CE, + 0x640A8DCD, + 0x512A8E36, + 0x03A4CF55, + 0x481837A2, + 0x03D6DA84, + 0x73726AC7, + 0x760E7FDF, + # Partial rounds (20 rounds x 16 constants) + 0x54DFEB5D, + 0x7D40AFD6, + 0x722CB316, + 0x106A4573, + 0x45A7CCDB, + 0x44061375, + 0x154077A5, + 0x45744FAA, + 0x4EB5E5EE, + 0x3794E83F, + 0x47C7093C, + 0x5694903C, + 0x69CB6299, + 0x373DF84C, + 0x46A0DF58, + 0x46B8758A, + 0x3241EBCB, + 0x0B09D233, + 0x1AF42357, + 0x1E66CEC2, + 0x43E7DC24, + 0x259A5D61, + 0x27E85A3B, + 0x1B9133FA, + 0x343E5628, + 0x485CD4C2, + 0x16E269F5, + 0x165B60C6, + 0x25F683D9, + 0x124F81F9, + 0x174331F9, + 0x77344DC5, + 0x5A821DBA, + 0x5FC4177F, + 0x54153BF5, + 0x5E3F1194, + 0x3BDBF191, + 0x088C84A3, + 0x68256C9B, + 0x3C90BBC6, + 0x6846166A, + 0x03F4238D, + 0x463335FB, + 0x5E3D3551, + 0x6E59AE6F, + 0x32D06CC0, + 0x596293F3, + 0x6C87EDB2, + 0x08FC60B5, + 0x34BCCA80, + 0x24F007F3, + 0x62731C6F, + 0x1E1DB6C6, + 0x0CA409BB, + 0x585C1E78, + 0x56E94EDC, + 0x16D22734, + 0x18E11467, + 0x7B2C3730, + 0x770075E4, + 0x35D1B18C, + 0x22BE3DB5, + 0x4FB1FBB7, + 0x477CB3ED, + 0x7D5311C6, + 0x5B62AE7D, + 0x559C5FA8, + 0x77F15048, + 0x3211570B, + 0x490FEF6A, + 0x77EC311F, + 0x2247171B, + 0x4E0AC711, + 0x2EDF69C9, + 0x3B5A8850, + 0x65809421, + 0x5619B4AA, + 0x362019A7, + 0x6BF9D4ED, + 0x5B413DFF, + 0x617E181E, + 0x5E7AB57B, + 0x33AD7833, + 0x3466C7CA, + 0x6488DFF4, + 0x71F068F4, + 0x056E891F, + 0x04F1ECCC, + 0x663257D5, + 0x671E31B9, + 0x5871987C, + 0x280C109E, + 0x2A227761, + 0x350A25E9, + 0x5B91B1C4, + 0x7A073546, + 0x01826270, + 0x53A67720, + 0x0ED4B074, + 0x34CF0C4E, + 0x6E751E88, + 0x29BD5F59, + 0x49EC32DF, + 0x7693452B, + 0x3CF09E58, + 0x6BA0E2BF, + 0x7AB93ACF, + 0x3CE597DF, + 0x536E3D42, + 0x147A808D, + 0x5E32EB56, + 0x5A203323, + 0x50965766, + 0x6D44B7C5, + 0x6698636A, + 0x57B84F9F, + 0x554B61B9, + 0x6DA0AB28, + 0x1585B6AC, + 0x6705A2B4, + 0x152872F6, + 0x0F4409FD, + 0x23A9DD60, + 0x6F2B18D4, + 0x65AC9FD4, + 0x2F0EFBEA, + 0x591E67FD, + 0x217CA19B, + 0x469C90CA, + 0x03D60EF5, + 0x4EA7857E, + 0x07C86A4F, + 0x288ED461, + 0x2FE51B22, + 0x7E293614, + 0x2C4BEB85, + 0x5B0B7D11, + 0x1E17DFF6, + 0x089BEAE1, + 0x0A5ACF1A, + 0x2FC33D8F, + 0x60422DC6, + 0x6E1DC939, + 0x635351B9, + 0x55522FC0, + 0x3EB94EF7, + 0x2A24A65C, + 0x2E139C76, + 0x51391144, + 0x78CC0742, + 0x579538F9, + 0x44DE9AAE, + 0x3C2F1E2E, + 0x195747BE, + 0x2496339C, + 0x650B2E39, + 0x52899665, + 0x6CB35558, + 0x0F461C1C, + 0x70F6B270, + 0x3FAAA36F, + 0x62E3348A, + 0x672167CB, + 0x394C880B, + 0x2A46BA82, + 0x63FFB74A, + 0x1CF875D6, + 0x53D12772, + 0x036A4552, + 0x3BDD9F2B, + 0x02F72C24, + 0x02B6006C, + 0x077FE158, + 0x1F9D6EA4, + 0x20904D6F, + 0x5D6534FA, + 0x066D8974, + 0x6198F1F4, + 0x26301AB4, + 0x41F274C2, + 0x00EAC15C, + 0x28B54B47, + 0x2339739D, + 0x48C6281C, + 0x4ED935FC, + 0x3F9187FA, + 0x4A1930A6, + 0x3AD4D736, + 0x0F3F1889, + 0x635A388F, + 0x2862C145, + 0x277ED1E8, + 0x4DB23CAD, + 0x1F1B11F5, + 0x1F3DBA2B, + 0x1C26EB4E, + 0x0F7F5546, + 0x6CD024B0, + 0x67C47902, + 0x793B8900, + 0x0E8A283C, + 0x4590B7EA, + 0x6F567A2B, + 0x5DC97300, + 0x15247BC6, + 0x50567FCB, + 0x133EFF84, + 0x547DC2EF, + 0x34EB3DBB, + 0x12402317, + 0x66C6AE49, + 0x174338B6, + 0x24251008, + 0x1B514927, + 0x062D98D6, + 0x7AF30BBC, + 0x26AF15E8, + 0x70D907A3, + 0x5DFC5CAC, + 0x731F27EC, + 0x53AA7D3F, + 0x63AB0EC6, + 0x216053F4, + 0x18796B39, + 0x19156AFD, + 0x5EEA6973, + 0x6704C6A9, + 0x0DCE002B, + 0x331169C0, + 0x714D7178, + 0x3DDAFFAF, + 0x7E464957, + 0x20CA59EA, + 0x679820C9, + 0x42EF21A1, + 0x798EA089, + 0x14A74FA3, + 0x0C06CF18, + 0x6A4C8D52, + 0x620F6D81, + 0x2220901A, + 0x5277BB90, + 0x230BF95E, + 0x0AD8847A, + 0x5E96E8B6, + 0x77B4056E, + 0x70A50D2C, + 0x5F0EED59, + 0x3646C4DF, + 0x10EB9A87, + 0x21EED6B7, + 0x534ADD36, + 0x6E3E7421, + 0x2B25810E, + 0x1D8F707B, + 0x45318A1A, + 0x677F8FF2, + 0x0258C9E0, + 0x4CD02A00, + 0x2E24FF15, + 0x634A715D, + 0x4AC01E59, + 0x601511E1, + 0x26E9C01A, + 0x4C165C6E, + 0x57CD1140, + 0x3AC6543B, + 0x6787D847, + 0x037DFBF9, + 0x6DD9D079, + 0x4D24B281, + 0x2A6F407D, + 0x0131DF8E, + 0x4B8A7896, + 0x23700858, + 0x2CF5E534, + 0x12AAFC3F, + 0x54568D03, + 0x1A250735, + 0x5331686D, + 0x4CE76D91, + 0x799C1A8C, + 0x2B7A8AC9, + 0x60AEE672, + 0x74F7421C, + 0x3C42146D, + 0x26D369C5, + 0x4AE54A12, + 0x7EEA16D1, + 0x5CE3EAE8, + 0x69F28994, + 0x262B8642, + 0x610D4CC4, + 0x5E1AF21C, + 0x1A8526D0, + 0x316B127B, + 0x3576FE5D, + 0x02D968A0, + 0x4BA00F51, + 0x40BED993, + 0x377FB907, + 0x7859216E, + 0x1931D9D1, + 0x53B0934E, + 0x71914FF7, + 0x4EABAE6C, + 0x7196468E, + 0x164B3CC2, + 0x58CB66C0, + 0x4C147307, + 0x6B3AFCCD, + 0x4236518B, + 0x4AD85605, + 0x291382E1, + 0x1E89B6CF, + 0x5E16C3A8, + 0x2E675921, + 0x24300954, + 0x05E555C3, + 0x78880A24, + # Terminal full rounds (4 rounds x 16 constants) + 0x763A3125, + 0x4F53B240, + 0x18B7FA43, + 0x2BBE8A73, + 0x1C9A12F2, + 0x3F6FD40D, + 0x0E1D4EC4, + 0x1361C64D, + 0x09A8F470, + 0x03D23A40, + 0x109AD290, + 0x28C2FB88, + 0x3B6498F2, + 0x74D8BE57, + 0x6A4277D2, + 0x18C2B3D4, + 0x6252C30C, + 0x07CC2560, + 0x209FE15B, + 0x52A55FAC, + 0x4DF19EB7, + 0x02521116, + 0x5E414FF1, + 0x3CD9A1F4, + 0x005AAD15, + 0x27A53F00, + 0x72BBE9CB, + 0x71D8BD7D, + 0x4194B79A, + 0x48E87A72, + 0x3341553C, + 0x63D34FAA, + 0x132A01E3, + 0x3833E2D9, + 0x49726E04, + 0x054957F8, + 0x7B71BCE4, + 0x73EEC57D, + 0x556E5533, + 0x1FA93FDE, + 0x346A8CA8, + 0x1162DFDE, + 0x5C30D028, + 0x094A4294, + 0x3052DCDA, + 0x37988498, + 0x51F06B97, + 0x65848779, + 0x7599B0D4, + 0x436FDABC, + 0x66C5B77D, + 0x40C86A9E, + 0x27E7055B, + 0x6D0DD9D8, + 0x7E5598B5, + 0x1A4D04F3, + 0x5E3B2BC7, + 0x533B5B2F, + 0x3E33A125, + 0x664D71CE, + 0x382E6C2A, + 0x24C4EB6E, + 0x13F246F7, + 0x07E2D7EF, +] + +# For width 24: 31 rounds x 24 = 744 constants +# Layout: initial_full (4 x 24) + partial (23 x 24) + terminal_full (4 x 24) +_RAW_CONSTANTS_24: list[int] = [ + # Initial full rounds (4 rounds x 24 constants) + 0x1D0939DC, + 0x6D050F8D, + 0x628058AD, + 0x2681385D, + 0x3E3C62BE, + 0x032CFAD8, + 0x5A91BA3C, + 0x015A56E6, + 0x696B889C, + 0x0DBCD780, + 0x5881B5C9, + 0x2A076F2E, + 0x55393055, + 0x6513A085, + 0x547AC78F, + 0x4281C5B8, + 0x3E7A3F6C, + 0x34562C19, + 0x2C04E679, + 0x0ED78234, + 0x5F7A1AA9, + 0x0177640E, + 0x0EA4F8D1, + 0x15BE7692, + 0x6EAFDD62, + 0x71A572C6, + 0x72416F0A, + 0x31CE1AD3, + 0x2136A0CF, + 0x1507C0EB, + 0x1EB6E07A, + 0x3A0CCF7B, + 0x38E4BF31, + 0x44128286, + 0x6B05E976, + 0x244A9B92, + 0x6E4B32A8, + 0x78EE2496, + 0x4761115B, + 0x3D3A7077, + 0x75D3C670, + 0x396A2475, + 0x26DD00B4, + 0x7DF50F59, + 0x0CB922DF, + 0x0568B190, + 0x5BD3FCD6, + 0x1351F58E, + 0x52191B5F, + 0x119171B8, + 0x1E8BB727, + 0x27D21F26, + 0x36146613, + 0x1EE817A2, + 0x71ABE84E, + 0x44B88070, + 0x5DC04410, + 0x2AEAA2F6, + 0x2B7BB311, + 0x6906884D, + 0x0522E053, + 0x0C45A214, + 0x1B016998, + 0x479B1052, + 0x3ACC89BE, + 0x0776021A, + 0x7A34A1F5, + 0x70F87911, + 0x2CAF9D9E, + 0x026AFF1B, + 0x2C42468E, + 0x67726B45, + 0x09B6F53C, + 0x73D76589, + 0x5793EEB0, + 0x29E720F3, + 0x75FC8BDF, + 0x4C2FAE0E, + 0x20B41DB3, + 0x7E491510, + 0x2CADEF18, + 0x57FC24D6, + 0x4D1ADE4A, + 0x36BF8E3C, + 0x3511B63C, + 0x64D8476F, + 0x732BA706, + 0x46634978, + 0x0521C17C, + 0x5EE69212, + 0x3559CBA9, + 0x2B33DF89, + 0x653538D6, + 0x5FDE8344, + 0x4091605D, + 0x2933BDDE, + # Partial rounds (23 rounds x 24 constants) + 0x1395D4CA, + 0x5DBAC049, + 0x51FC2727, + 0x13407399, + 0x39AC6953, + 0x45E8726C, + 0x75A7311C, + 0x599F82C9, + 0x702CF13B, + 0x026B8955, + 0x44E09BBC, + 0x2211207F, + 0x5128B4E3, + 0x591C41AF, + 0x674F5C68, + 0x3981D0D3, + 0x2D82F898, + 0x707CD267, + 0x3B4CCA45, + 0x2AD0DC3C, + 0x0CB79B37, + 0x23F2F4E8, + 0x3DE4E739, + 0x7D232359, + 0x389D82F9, + 0x259B2E6C, + 0x45A94DEF, + 0x0D497380, + 0x5B049135, + 0x3C268399, + 0x78FEB2F9, + 0x300A3EEC, + 0x505165BB, + 0x20300973, + 0x2327C081, + 0x1A45A2F4, + 0x5B32EA2E, + 0x2D5D1A70, + 0x053E613E, + 0x5433E39F, + 0x495529F0, + 0x1EAA1AA9, + 0x578F572A, + 0x698EDE71, + 0x5A0F9DBA, + 0x398A2E96, + 0x0C7B2925, + 0x2E6B9564, + 0x026B00DE, + 0x7644C1E9, + 0x5C23D0BD, + 0x3470B5EF, + 0x6013CF3A, + 0x48747288, + 0x13B7A543, + 0x3EAEBD44, + 0x0004E60C, + 0x1E8363A2, + 0x2343259A, + 0x69DA0C2A, + 0x06E3E4C4, + 0x1095018E, + 0x0DEEA348, + 0x1F4C5513, + 0x4F9A3A98, + 0x3179112B, + 0x524ABB1F, + 0x21615BA2, + 0x23AB4065, + 0x1202A1D1, + 0x21D25B83, + 0x6ED17C2F, + 0x391E6B09, + 0x5E4ED894, + 0x6A2F58F2, + 0x5D980D70, + 0x3FA48C5E, + 0x1F6366F7, + 0x63540F5F, + 0x6A8235ED, + 0x14C12A78, + 0x6EDDE1C9, + 0x58CE1C22, + 0x718588BB, + 0x334313AD, + 0x7478DBC7, + 0x647AD52F, + 0x39E82049, + 0x6FEE146A, + 0x082C2F24, + 0x1F093015, + 0x30173C18, + 0x53F70C0D, + 0x6028AB0C, + 0x2F47A1EE, + 0x26A6780E, + 0x3540BC83, + 0x1812B49F, + 0x5149C827, + 0x631DD925, + 0x001F2DEA, + 0x7DC05194, + 0x3789672E, + 0x7CABF72E, + 0x242DBE2F, + 0x0B07A51D, + 0x38653650, + 0x50785C4E, + 0x60E8A7E0, + 0x07464338, + 0x3482D6E1, + 0x08A69F1E, + 0x3F2AFF24, + 0x5814C30D, + 0x13FECAB2, + 0x61CB291A, + 0x68C8226F, + 0x5C757EEA, + 0x289B4E1E, + 0x0198D9B3, + 0x070A92E6, + 0x2F1B6CB3, + 0x535008BB, + 0x35AF339A, + 0x7A38E92C, + 0x4FF71B5C, + 0x3B193ABA, + 0x34D12A1E, + 0x17E94240, + 0x2EC214DC, + 0x43E09385, + 0x7D546918, + 0x71AF9DFD, + 0x761A21BB, + 0x43FDC986, + 0x05DDA714, + 0x2D0E78B5, + 0x1FCD387B, + 0x76E10A76, + 0x28A112D5, + 0x1A7BD787, + 0x40190DE2, + 0x2E27906A, + 0x2033954E, + 0x20AFD2C8, + 0x71B5ECB2, + 0x57828FB3, + 0x222851D8, + 0x732DF0E9, + 0x73F48435, + 0x7E63EA98, + 0x058BE348, + 0x229E7A5F, + 0x04576A2F, + 0x29939F10, + 0x7AFD830A, + 0x5D6DD961, + 0x0EB65D94, + 0x39DA2B79, + 0x36BCE8BA, + 0x5F53A7D4, + 0x383B1CD2, + 0x1FDC3C5F, + 0x7D9CA544, + 0x77480711, + 0x36C51A1A, + 0x009EA59B, + 0x731B17FD, + 0x201359BD, + 0x22BF6499, + 0x610F1A29, + 0x3C73AA45, + 0x6A092599, + 0x1C7CB703, + 0x79533459, + 0x7EF62D86, + 0x5AB925AB, + 0x67722AB1, + 0x33CA4CFF, + 0x007F7DCE, + 0x0EEAC41E, + 0x4724BEA7, + 0x45EAF64F, + 0x21A6C90F, + 0x094B4150, + 0x0D942630, + 0x18712C30, + 0x3A470338, + 0x6EBA7720, + 0x487827C8, + 0x77013A6D, + 0x4AD07390, + 0x57D802EA, + 0x720F5FD4, + 0x5B8A5357, + 0x3649DB1F, + 0x35EA476A, + 0x4C6589F5, + 0x02C9F31F, + 0x16D04670, + 0x62D74B20, + 0x1DE813CC, + 0x189966ED, + 0x527ADD06, + 0x1704F5AF, + 0x000F1703, + 0x00152A1F, + 0x2F49A365, + 0x40EE4288, + 0x0AB86260, + 0x080C8576, + 0x36C6CC05, + 0x0AB9346F, + 0x62AA3EC8, + 0x51109797, + 0x0FEB1585, + 0x04700024, + 0x01DEE723, + 0x5CD4AAA8, + 0x1FE43CE5, + 0x25C31267, + 0x58512B48, + 0x54147539, + 0x4E340AB9, + 0x563FBAEB, + 0x60C8353A, + 0x65A12D49, + 0x6C499FB2, + 0x7EA07556, + 0x396E2BBB, + 0x31A318F1, + 0x11F855AE, + 0x6EDFFB87, + 0x59977042, + 0x6EC5FA94, + 0x75B4F690, + 0x44B6FC61, + 0x02A8BED8, + 0x4C88C824, + 0x08E31432, + 0x09A4C09F, + 0x4796B47D, + 0x215B7E75, + 0x0C639599, + 0x0D93DD4C, + 0x2FAC41DE, + 0x4F46DADD, + 0x03905848, + 0x2B1C39C1, + 0x25FFF199, + 0x38621F7B, + 0x69E59315, + 0x1874C308, + 0x024A3959, + 0x2BAE1F12, + 0x3C200626, + 0x6BA5D369, + 0x2FE9B97E, + 0x674CC08E, + 0x2CBB9657, + 0x550E56C2, + 0x5B80E0EC, + 0x6549CCFF, + 0x54E3E61A, + 0x0FA689E3, + 0x2C534848, + 0x1EB24382, + 0x61B959B5, + 0x4D5F001E, + 0x003A95CD, + 0x1EDD4507, + 0x621E895D, + 0x7DC6E599, + 0x0FBC2771, + 0x152D0879, + 0x77801087, + 0x6A2DD731, + 0x3644ABA2, + 0x2E43A814, + 0x12FF923F, + 0x01CFE2C9, + 0x35F8A572, + 0x5789FD35, + 0x16F39E7A, + 0x7C0CA31C, + 0x01016283, + 0x2C9DCD96, + 0x5D3C6F4E, + 0x0058A186, + 0x16354360, + 0x502A262B, + 0x2B56F93E, + 0x0BC41ECB, + 0x33C83E8B, + 0x21968FC3, + 0x6364490C, + 0x16A45AA5, + 0x286D873F, + 0x2BE17254, + 0x381FBC06, + 0x0DF309AA, + 0x15D48B84, + 0x0FB2C5DD, + 0x7C440D21, + 0x74908F00, + 0x75520624, + 0x7E58F065, + 0x141E1E41, + 0x6582F4AE, + 0x2C4479E5, + 0x7A09FFF8, + 0x1BAA979F, + 0x45AB39BD, + 0x774F78BC, + 0x3C5F9AA2, + 0x115D9DC9, + 0x4B1546D7, + 0x196C1A55, + 0x6A88FB5E, + 0x4C1CA910, + 0x34869067, + 0x2662DCBB, + 0x0A4625D4, + 0x25B121C8, + 0x1A50CCD2, + 0x490EA316, + 0x42556FFA, + 0x6B5E4F88, + 0x329FAF33, + 0x54F39A88, + 0x3B411E09, + 0x6950AE8E, + 0x310A912C, + 0x63BDDCBA, + 0x347977C0, + 0x52831335, + 0x41F32FC6, + 0x67DD5ACB, + 0x41AE544E, + 0x1D83750A, + 0x4BB58D20, + 0x2F5496EE, + 0x353819EC, + 0x412EE425, + 0x1BFD2747, + 0x32A14699, + 0x2F7BE906, + 0x38AFDA41, + 0x5B1E6316, + 0x7B810B48, + 0x6AEBB30D, + 0x55D94F89, + 0x69DB4833, + 0x3A6ECB6C, + 0x50E7D206, + 0x148A4B69, + 0x1AC5548D, + 0x40019CF9, + 0x1E566F2A, + 0x0998A950, + 0x5BC887F0, + 0x73FBBD18, + 0x341E05A8, + 0x7D0597D5, + 0x582308D9, + 0x7A98ADDF, + 0x0938B854, + 0x544BF13D, + 0x50090144, + 0x13BAF374, + 0x1896A8D5, + 0x75EA7475, + 0x23510DD8, + 0x72C93BCC, + 0x1C41410E, + 0x4B72D5F9, + 0x103CCC4E, + 0x3896BEF2, + 0x2C5E0B1C, + 0x1E2096DE, + 0x15594D47, + 0x04E035CE, + 0x2785D1B1, + 0x795BC87D, + 0x373FECBF, + 0x0B18C3A0, + 0x6516874A, + 0x2B567BE9, + 0x5A2A3D1B, + 0x74D99C04, + 0x437DE605, + 0x047DF991, + 0x322FAAD4, + 0x2EF2F76F, + 0x5F9E7278, + 0x62740235, + 0x18C1E8C2, + 0x0691E203, + 0x3324646D, + 0x59542C9F, + 0x32433D0D, + 0x42C17492, + 0x45AC808A, + 0x685394E0, + 0x316F7193, + 0x5EA108A0, + 0x6BB3F12F, + 0x232F8865, + 0x7C162B62, + 0x52AA9E45, + 0x1B69F8DB, + 0x3EC35206, + 0x1EF086DD, + 0x34D7A5E3, + 0x33AEEA57, + 0x03565CC8, + 0x5BC5FD47, + 0x47ADC343, + 0x1D5857A2, + 0x5E7ECE76, + 0x0239FBA3, + 0x58BDEAD4, + 0x41671AEF, + 0x3C8A9189, + 0x7342ED52, + 0x19871456, + 0x573A02C8, + 0x2EC8AD55, + 0x09C4A997, + 0x34B9B63A, + 0x226DA984, + 0x6B31D16E, + 0x458384D2, + 0x353911E1, + 0x4CFD1256, + 0x163C23AF, + 0x7609C5E0, + 0x76596C08, + 0x087ADAC7, + 0x4FD4B62C, + 0x3692A037, + 0x51C54B62, + 0x133DAF4D, + 0x0C76F623, + 0x387D21F3, + 0x6034ABE5, + 0x7C982E2B, + 0x63A266B4, + 0x4F2B17B8, + 0x0BD62F1D, + 0x70E37A7C, + 0x4F162DA9, + 0x38F0E527, + 0x6CE798D7, + 0x6C74250B, + 0x606F2FAD, + 0x212B041D, + 0x6724FD32, + 0x73AAF9AF, + 0x3AE9B76B, + 0x014FE151, + 0x37687943, + 0x36BB7786, + 0x01DA85EF, + 0x28C618AE, + 0x36706580, + 0x3F5F610D, + 0x2E0B9391, + 0x5750E38D, + 0x00B48D71, + 0x0F1F1D7A, + 0x7107C415, + 0x35C1E287, + 0x26CCCE2F, + 0x4E29277A, + 0x1580EE9D, + 0x18136F74, + 0x530F32AD, + 0x5A19B05D, + 0x3D38B320, + 0x6A3BF1E4, + 0x39E9EDBB, + 0x2CE6A59E, + 0x2DF215E1, + 0x216A17BA, + 0x3A8F3CFA, + 0x0A14D990, + 0x1162E529, + 0x1213C181, + 0x3DAA68F5, + 0x16C570FF, + 0x1063321C, + 0x06A2D0E8, + 0x17C094A4, + 0x39A5D9C9, + 0x086D4802, + 0x67AB7FE3, + 0x67F51392, + 0x3649C2AC, + 0x62AA8CF8, + 0x55B6FDBB, + 0x55C3E972, + 0x2F865724, + 0x314FA653, + 0x029F66F1, + 0x016F80A2, + 0x4B70E0C2, + 0x1782F9AB, + 0x697578EE, + 0x07B2C8B7, + 0x123F6681, + 0x2B78DB24, + 0x2CD8DB9D, + 0x302947B1, + 0x04F4C99A, + 0x1F8BCBBD, + 0x61C782EA, + 0x3459928C, + 0x3EFEC720, + 0x24F2B8F6, + 0x5DEC66B5, + 0x622386CC, + 0x26B70002, + 0x1FA0D640, + 0x6EDEAA0A, + 0x670FF3E1, + 0x18641D8E, + 0x43B68197, + 0x315B1707, + 0x46DB526A, + 0x02FA5277, + 0x36F6EDF9, + 0x31AD912B, + 0x7D518EBD, + 0x61DB2EEA, + 0x0BA28BAD, + 0x3C839E59, + 0x7ED007F1, + 0x74447F8A, + 0x6B4CE5B7, + 0x7272E3A4, + 0x192257D1, + 0x5F882281, + 0x5F890768, + 0x47EEC4CB, + 0x2EF3E6C8, + 0x43D6E4E2, + 0x668CE6BA, + 0x50679E00, + 0x24C067A8, + 0x605BE47C, + 0x324AC2EC, + # Terminal full rounds (4 rounds x 24 constants) + 0x5883788F, + 0x7EBA66AF, + 0x23620F78, + 0x44492C9A, + 0x7CC098A4, + 0x705191FA, + 0x2F7185E2, + 0x6EBBB07E, + 0x23508C3B, + 0x6CB0F0F4, + 0x1190A8C0, + 0x60F8F1D0, + 0x316C16A1, + 0x440742C7, + 0x7643F142, + 0x642F9668, + 0x214B7566, + 0x52A5C469, + 0x1BFD90DA, + 0x1D7D8076, + 0x6E06D1E8, + 0x7D672E6D, + 0x6FD2E3E3, + 0x3257AE18, + 0x75861A51, + 0x0E2996FE, + 0x2BDC228B, + 0x6879FCB8, + 0x14CA9B1C, + 0x29953D92, + 0x36EE671D, + 0x31366E47, + 0x79C4F5F2, + 0x2B8C8639, + 0x073A293D, + 0x32802C31, + 0x4894D32F, + 0x06ACC989, + 0x40D852B1, + 0x508857C4, + 0x2FFE504D, + 0x18BE00C1, + 0x75A114E9, + 0x4ED5922A, + 0x1060EE72, + 0x2176563C, + 0x0B91B242, + 0x6BFBF1A4, + 0x06F94470, + 0x694F4383, + 0x53CADA3E, + 0x1527BFD8, + 0x2BDFE868, + 0x120C2D2C, + 0x7DFD6309, + 0x10B619C2, + 0x0550BC7F, + 0x488CF3DC, + 0x4C5454A2, + 0x00BE2976, + 0x349C9669, + 0x2B4EB07D, + 0x0450BF40, + 0x58DE7343, + 0x3495A265, + 0x2305E3B7, + 0x661DD781, + 0x1C183983, + 0x46992791, + 0x3EB3751F, + 0x38F728C8, + 0x775D0A30, + 0x7636645A, + 0x7125AA5D, + 0x0C3F2DCA, + 0x13B595CC, + 0x5A5E9BCE, + 0x54BB3456, + 0x069A1A5A, + 0x7B9F15EE, + 0x50150189, + 0x68C9157B, + 0x07E06E22, + 0x568AECDB, + 0x1403F847, + 0x436CF5DA, + 0x3F09C026, + 0x652F7B1B, + 0x3E8607F3, + 0x5BB37C57, + 0x1B1A9ECF, + 0x39D11CB0, + 0x1841A51C, + 0x1251AD48, + 0x74FB5EDD, + 0x21FA33C6, +] + +# For width 16 (needs (8 + 20) * 16 = 448 constants). +ROUND_CONSTANTS_16: list[Fp] = [Fp(value=v) for v in _RAW_CONSTANTS_16] + +# For width 24 (needs (8 + 23) * 24 = 744 constants). +ROUND_CONSTANTS_24: list[Fp] = [Fp(value=v) for v in _RAW_CONSTANTS_24] diff --git a/src/lean_spec/subspecs/poseidon1/permutation.py b/src/lean_spec/subspecs/poseidon1/permutation.py new file mode 100644 index 00000000..e7558b7f --- /dev/null +++ b/src/lean_spec/subspecs/poseidon1/permutation.py @@ -0,0 +1,285 @@ +""" +A minimal Python specification for the Poseidon1 permutation. + +Based on "Poseidon: A New Hash Function for Zero-Knowledge Proof Systems". +See https://eprint.iacr.org/2019/458. + +Uses Numba JIT compilation for native-speed permutation. +""" + +from __future__ import annotations + +from typing import Self + +import numpy as np +from numba import njit +from numpy.typing import NDArray +from pydantic import Field, model_validator + +from ...types import StrictBaseModel +from ..koalabear.field import Fp, P +from .constants import ( + ROUND_CONSTANTS_16, + ROUND_CONSTANTS_24, +) + + +def _build_circulant_mds(first_row: list[int], n: int, p: int) -> NDArray[np.int64]: + """ + Expand a circulant matrix from its first row into a dense NxN matrix. + + A circulant matrix C defined by first row [r0, r1, ..., rn-1]: + C[i][j] = r[(j - i) mod n] + """ + matrix = np.zeros((n, n), dtype=np.int64) + for i in range(n): + for j in range(n): + matrix[i][j] = first_row[(j - i) % n] % p + return matrix + + +@njit(cache=True) +def _mds_multiply_jit( + state: NDArray[np.int64], mds: NDArray[np.int64], p: int +) -> NDArray[np.int64]: + """ + Dense MDS matrix-vector multiplication. + + Computes y = MDS * x where MDS is the circulant MDS matrix. + Each product is reduced mod p before accumulation to prevent overflow. + """ + n = state.shape[0] + result = np.empty(n, dtype=np.int64) + for i in range(n): + s = np.int64(0) + for j in range(n): + s += mds[i, j] * state[j] % p + result[i] = s % p + return result + + +@njit(cache=True) +def _permute_jit( + state: NDArray[np.int64], + round_constants: NDArray[np.int64], + mds: NDArray[np.int64], + width: int, + half_rounds_f: int, + rounds_p: int, + p: int, +) -> None: + """ + Full Poseidon1 permutation, compiled to native code. + + Modifies state array in-place. + S-box: x^3 computed as (x*x % p) * x % p to avoid int64 overflow. + + Round structure: AddRoundConstants -> S-box -> MDS multiply. + Unlike Poseidon2, there is no initial linear layer. + """ + const_idx = 0 + + # 1. First half of full rounds. + # + # Full rounds apply the S-box to every state element. + # Note: for S_BOX_DEGREE=3, state**3 would overflow int64 before modulo. + # Expand S-box to `(state*state % P) * state % P` to stay in range. + for _ in range(half_rounds_f): + # Add round constants to entire state. + state[:] = (state + round_constants[const_idx : const_idx + width]) % p + const_idx += width + + # Apply S-box (x -> x^d) to full state. + state[:] = (state * state % p) * state % p + + # Apply dense MDS multiply for diffusion. + state[:] = _mds_multiply_jit(state, mds, p) + + # 2. Partial rounds. + # + # Partial rounds add constants to ALL state elements but apply + # the S-box only to state[0]. The same dense MDS matrix is used. + for _ in range(rounds_p): + # Add round constants to entire state. + state[:] = (state + round_constants[const_idx : const_idx + width]) % p + const_idx += width + + # Apply S-box to first element only. + # This is the main optimization of the Hades design. + state[0] = (state[0] * state[0] % p) * state[0] % p + + # Apply dense MDS multiply. + state[:] = _mds_multiply_jit(state, mds, p) + + # 3. Second half of full rounds. + for _ in range(half_rounds_f): + # Add round constants to entire state. + state[:] = (state + round_constants[const_idx : const_idx + width]) % p + const_idx += width + + # Apply S-box to full state. + state[:] = (state * state % p) * state % p + + # Apply dense MDS multiply for diffusion. + state[:] = _mds_multiply_jit(state, mds, p) + + +class Poseidon1Params(StrictBaseModel): + """Parameters for a specific Poseidon1 instance.""" + + width: int = Field(gt=0, description="The size of the state (t).") + rounds_f: int = Field(gt=0, description="Total number of 'full' rounds.") + rounds_p: int = Field(ge=0, description="Total number of 'partial' rounds.") + mds_first_row: list[Fp] = Field( + min_length=1, + description="First row of the circulant MDS matrix.", + ) + round_constants: list[Fp] = Field( + min_length=1, + description="The list of pre-computed constants for all rounds.", + ) + + @model_validator(mode="after") + def check_lengths(self) -> Self: + """Ensures vector lengths match the configuration.""" + if len(self.mds_first_row) != self.width: + raise ValueError("Length of mds_first_row must equal width.") + + expected_constants = (self.rounds_f + self.rounds_p) * self.width + if len(self.round_constants) != expected_constants: + raise ValueError("Incorrect number of round constants provided.") + + return self + + +class Poseidon1: + """ + Optimized execution engine for Poseidon1. + + Pre-processes parameters into numpy arrays during initialization. + Minimizes overhead during permute calls. + """ + + __slots__ = ("_width", "_half_rounds_f", "_rounds_p", "_mds", "_round_constants") + + _width: int + """State size (t).""" + + _half_rounds_f: int + """Full rounds divided by 2.""" + + _rounds_p: int + """Number of partial rounds.""" + + _mds: NDArray[np.int64] + """Dense circulant MDS matrix.""" + + _round_constants: NDArray[np.int64] + """Flattened array of all round constants.""" + + def __init__(self, params: Poseidon1Params) -> None: + """ + Initialize the engine with validated parameters. + + Converts Fp lists to int64 numpy arrays for speed. + Builds the dense circulant MDS matrix from the first row. + """ + self._width = params.width + self._half_rounds_f = params.rounds_f // 2 + self._rounds_p = params.rounds_p + + # Build the dense circulant MDS matrix from first row. + first_row_ints = [fp.value for fp in params.mds_first_row] + self._mds = _build_circulant_mds(first_row_ints, params.width, P) + + # Pre-convert round constants to numpy array. + self._round_constants = np.array( + [fp.value for fp in params.round_constants], dtype=np.int64 + ) + + def permute(self, current_state: list[Fp]) -> list[Fp]: + """ + Perform the full Poseidon1 permutation. + + Structure: + + 1. First half of full rounds + 2. Partial rounds + 3. Second half of full rounds + + Args: + current_state: List of Fp elements representing the current state. + + Returns: + New state after applying the permutation. + """ + if len(current_state) != self._width: + raise ValueError(f"Input state must have length {self._width}") + + state = np.array([fp.value for fp in current_state], dtype=np.int64) + + _permute_jit( + state, + self._round_constants, + self._mds, + self._width, + self._half_rounds_f, + self._rounds_p, + P, + ) + + return [Fp(value=int(x)) for x in state] + + +# MDS first row for WIDTH = 16 +# +# From Plonky3: koala-bear/src/mds.rs +_MDS_FIRST_ROW_16: list[int] = [1, 1, 51, 1, 11, 17, 2, 1, 101, 63, 15, 2, 67, 22, 13, 3] + +# MDS first row for WIDTH = 24 +# +# From Plonky3: koala-bear/src/mds.rs +_MDS_FIRST_ROW_24: list[int] = [ + 0x2D0AAAAB, + 0x64850517, + 0x17F5551D, + 0x04ECBEB5, + 0x6D91A8D5, + 0x60703026, + 0x18D6F3CA, + 0x729601A7, + 0x77CDA9E2, + 0x3C0F5038, + 0x26D52A61, + 0x0360405D, + 0x68FC71C8, + 0x2495A71D, + 0x5D57AFC2, + 0x1689DD98, + 0x3C2C3DBE, + 0x0C23DC41, + 0x0524C7F2, + 0x6BE4DF69, + 0x0A6E572C, + 0x5C7790FA, + 0x17E118F6, + 0x0878A07F, +] + +# Parameters for WIDTH = 16 +PARAMS_16 = Poseidon1Params( + width=16, + rounds_f=8, + rounds_p=20, + mds_first_row=[Fp(value=v) for v in _MDS_FIRST_ROW_16], + round_constants=ROUND_CONSTANTS_16, +) + +# Parameters for WIDTH = 24 +PARAMS_24 = Poseidon1Params( + width=24, + rounds_f=8, + rounds_p=23, + mds_first_row=[Fp(value=v) for v in _MDS_FIRST_ROW_24], + round_constants=ROUND_CONSTANTS_24, +) diff --git a/src/lean_spec/subspecs/poseidon2/__init__.py b/src/lean_spec/subspecs/poseidon2/__init__.py deleted file mode 100644 index 7f7b1f90..00000000 --- a/src/lean_spec/subspecs/poseidon2/__init__.py +++ /dev/null @@ -1,15 +0,0 @@ -"""Specification for the Poseidon2 permutation.""" - -from .permutation import ( - PARAMS_16, - PARAMS_24, - Poseidon2, - Poseidon2Params, -) - -__all__ = [ - "Poseidon2", - "Poseidon2Params", - "PARAMS_16", - "PARAMS_24", -] diff --git a/src/lean_spec/subspecs/poseidon2/constants.py b/src/lean_spec/subspecs/poseidon2/constants.py deleted file mode 100644 index bc567662..00000000 --- a/src/lean_spec/subspecs/poseidon2/constants.py +++ /dev/null @@ -1,388 +0,0 @@ -"""Round constants for the Poseidon2 permutation over the KoalaBear field.""" - -from __future__ import annotations - -from ..koalabear.field import Fp - -# For width 16: 64 external_initial + 20 internal + 64 external_final = 148 constants -_RAW_CONSTANTS_16: list[int] = [ - # External initial (4 rounds × 16 = 64 constants) - 2128964168, - 288780357, - 316938561, - 2126233899, - 426817493, - 1714118888, - 1045008582, - 1738510837, - 889721787, - 8866516, - 681576474, - 419059826, - 1596305521, - 1583176088, - 1584387047, - 1529751136, - 1863858111, - 1072044075, - 517831365, - 1464274176, - 1138001621, - 428001039, - 245709561, - 1641420379, - 1365482496, - 770454828, - 693167409, - 757905735, - 136670447, - 436275702, - 525466355, - 1559174242, - 1030087950, - 869864998, - 322787870, - 267688717, - 948964561, - 740478015, - 679816114, - 113662466, - 2066544572, - 1744924186, - 367094720, - 1380455578, - 1842483872, - 416711434, - 1342291586, - 1692058446, - 1493348999, - 1113949088, - 210900530, - 1071655077, - 610242121, - 1136339326, - 2020858841, - 1019840479, - 678147278, - 1678413261, - 1361743414, - 61132629, - 1209546658, - 64412292, - 1936878279, - 1980661727, - # Internal (20 constants) - 2102596038, - 1533193853, - 1436311464, - 2012303432, - 839997195, - 1225781098, - 2011967775, - 575084315, - 1309329169, - 786393545, - 995788880, - 1702925345, - 1444525226, - 908073383, - 1811535085, - 1531002367, - 1635653662, - 1585100155, - 867006515, - 879151050, - # External final (4 rounds × 16 = 64 constants) - 1423960925, - 2101391318, - 1915532054, - 275400051, - 1168624859, - 1141248885, - 356546469, - 1165250474, - 1320543726, - 932505663, - 1204226364, - 1452576828, - 1774936729, - 926808140, - 1184948056, - 1186493834, - 843181003, - 185193011, - 452207447, - 510054082, - 1139268644, - 630873441, - 669538875, - 462500858, - 876500520, - 1214043330, - 383937013, - 375087302, - 636912601, - 307200505, - 390279673, - 1999916485, - 1518476730, - 1606686591, - 1410677749, - 1581191572, - 1004269969, - 143426723, - 1747283099, - 1016118214, - 1749423722, - 66331533, - 1177761275, - 1581069649, - 1851371119, - 852520128, - 1499632627, - 1820847538, - 150757557, - 884787840, - 619710451, - 1651711087, - 505263814, - 212076987, - 1482432120, - 1458130652, - 382871348, - 417404007, - 2066495280, - 1996518884, - 902934924, - 582892981, - 1337064375, - 1199354861, -] - -# For width 24: 96 external_initial + 23 internal + 96 external_final = 215 constants -_RAW_CONSTANTS_24: list[int] = [ - # External initial (4 rounds × 24 = 96 constants) - 487143900, - 1829048205, - 1652578477, - 646002781, - 1044144830, - 53279448, - 1519499836, - 22697702, - 1768655004, - 230479744, - 1484895689, - 705130286, - 1429811285, - 1695785093, - 1417332623, - 1115801016, - 1048199020, - 878062617, - 738518649, - 249004596, - 1601837737, - 24601614, - 245692625, - 364803730, - 1857019234, - 1906668230, - 1916890890, - 835590867, - 557228239, - 352829675, - 515301498, - 973918075, - 954515249, - 1142063750, - 1795549558, - 608869266, - 1850421928, - 2028872854, - 1197543771, - 1027240055, - 1976813168, - 963257461, - 652017844, - 2113212249, - 213459679, - 90747280, - 1540619478, - 324138382, - 1377377119, - 294744504, - 512472871, - 668081958, - 907306515, - 518526882, - 1907091534, - 1152942192, - 1572881424, - 720020214, - 729527057, - 1762035789, - 86171731, - 205890068, - 453077400, - 1201344594, - 986483134, - 125174298, - 2050269685, - 1895332113, - 749706654, - 40566555, - 742540942, - 1735551813, - 162985276, - 1943496073, - 1469312688, - 703013107, - 1979485151, - 1278193166, - 548674995, - 2118718736, - 749596440, - 1476142294, - 1293606474, - 918523452, - 890353212, - 1691895663, - 1932240646, - 1180911992, - 86098300, - 1592168978, - 895077289, - 724819849, - 1697986774, - 1608418116, - 1083269213, - 691256798, - # Internal (23 constants) - 893435011, - 403879071, - 1363789863, - 1662900517, - 2043370, - 2109755796, - 931751726, - 2091644718, - 606977583, - 185050397, - 946157136, - 1350065230, - 1625860064, - 122045240, - 880989921, - 145137438, - 1059782436, - 1477755661, - 335465138, - 1640704282, - 1757946479, - 1551204074, - 681266718, - # External final (4 rounds × 24 = 96 constants) - 328586442, - 1572520009, - 1375479591, - 322991001, - 967600467, - 1172861548, - 1973891356, - 1503625929, - 1881993531, - 40601941, - 1155570620, - 571547775, - 1361622243, - 1495024047, - 1733254248, - 964808915, - 763558040, - 1887228519, - 994888261, - 718330940, - 213359415, - 603124968, - 1038411577, - 2099454809, - 949846777, - 630926956, - 1168723439, - 222917504, - 1527025973, - 1009157017, - 2029957881, - 805977836, - 1347511739, - 540019059, - 589807745, - 440771316, - 1530063406, - 761076336, - 87974206, - 1412686751, - 1230318064, - 514464425, - 1469011754, - 1770970737, - 1510972858, - 965357206, - 209398053, - 778802532, - 40567006, - 1984217577, - 1545851069, - 879801839, - 1611910970, - 1215591048, - 330802499, - 1051639108, - 321036, - 511927202, - 591603098, - 1775897642, - 115598532, - 278200718, - 233743176, - 525096211, - 1335507608, - 830017835, - 1380629279, - 560028578, - 598425701, - 302162385, - 567434115, - 1859222575, - 958294793, - 1582225556, - 1781487858, - 1570246000, - 1067748446, - 526608119, - 1666453343, - 1786918381, - 348203640, - 1860035017, - 1489902626, - 1904576699, - 860033965, - 1954077639, - 1685771567, - 971513929, - 1877873770, - 137113380, - 520695829, - 806829080, - 1408699405, - 1613277964, - 793223662, - 648443918, -] - -# For width 16 (needs 8*16 + 20 = 148 constants). -ROUND_CONSTANTS_16: list[Fp] = [Fp(value=v) for v in _RAW_CONSTANTS_16] - -# For width 24 (needs 8*24 + 23 = 215 constants). -ROUND_CONSTANTS_24: list[Fp] = [Fp(value=v) for v in _RAW_CONSTANTS_24] diff --git a/src/lean_spec/subspecs/poseidon2/permutation.py b/src/lean_spec/subspecs/poseidon2/permutation.py deleted file mode 100644 index 7db0e654..00000000 --- a/src/lean_spec/subspecs/poseidon2/permutation.py +++ /dev/null @@ -1,355 +0,0 @@ -""" -A minimal Python specification for the Poseidon2 permutation. - -Based on "Poseidon2: A Faster Version of the Poseidon Hash Function". -See https://eprint.iacr.org/2023/323. - -Uses Numba JIT compilation for native-speed permutation. -""" - -from __future__ import annotations - -from typing import Final, Self - -import numpy as np -from numba import njit -from numpy.typing import NDArray -from pydantic import Field, model_validator - -from ...types import StrictBaseModel -from ..koalabear.field import Fp, P -from .constants import ( - ROUND_CONSTANTS_16, - ROUND_CONSTANTS_24, -) - -_M4_T: Final[NDArray[np.int64]] = np.array( - [ - [2, 3, 1, 1], - [1, 2, 3, 1], - [1, 1, 2, 3], - [3, 1, 1, 2], - ], - dtype=np.int64, -).T -""" -Base 4x4 MDS matrix, pre-transposed. - -Pre-transposition enables efficient row-vector multiplication: `v @ M.T`. -""" - - -@njit(cache=True) -def _m4_multiply(chunks: NDArray[np.int64], m4t: NDArray[np.int64], p: int) -> NDArray[np.int64]: - """ - Multiply each row of `chunks` by the M4 matrix. - - Equivalent to `chunks @ m4t % p`. - Numba's `@` operator requires scipy and float arrays, - so we use an explicit loop instead. Numba unrolls these - small fixed-size loops, so overhead is ~12% vs native matmul. - """ - result = np.empty_like(chunks) - for c in range(chunks.shape[0]): - for j in range(4): - s = np.int64(0) - for k in range(4): - s += chunks[c, k] * m4t[k, j] - result[c, j] = s % p - return result - - -@njit(cache=True) -def _external_linear_layer_jit( - state: NDArray[np.int64], m4t: NDArray[np.int64], p: int -) -> NDArray[np.int64]: - """ - Apply the external linear layer (M_E). - - Provides strong diffusion across the entire state. - Used in full rounds. - - For state size t=4k, constructed from M4 to form a circulant-like matrix. - Efficient while ensuring any single element change affects all others. - - See Appendix B of the paper. - """ - # Apply M4 to each 4-element chunk. - # Provides strong local diffusion within each block. - chunks = state.reshape(-1, 4) - chunks = _m4_multiply(chunks, m4t, p) - - # Apply outer circulant structure for global diffusion. - # Equivalent to multiplying by circ(2*I, I, ..., I) after M4 stage. - sums = np.zeros(4, dtype=np.int64) - for c in range(chunks.shape[0]): - for i in range(4): - sums[i] += chunks[c, i] - - # Add corresponding sum to each element. - return (chunks + sums).reshape(-1) % p - - -@njit(cache=True) -def _internal_linear_layer_jit( - state: NDArray[np.int64], diag_vector: NDArray[np.int64], p: int -) -> NDArray[np.int64]: - """ - Apply the internal linear layer (M_I). - - Used during partial rounds. - Optimized for speed. - - Matrix structure: M_I = J + D - - - J is the all-ones matrix - - D is a diagonal matrix - - This allows O(t) computation instead of O(t^2): - - M_I * s = J*s + D*s - - J*s is a vector where each element equals the sum of all elements in s. - """ - # J*state: sum of all elements (broadcast to vector). - # D*state: element-wise multiplication with diagonal. - state_sum = state.sum() - - # new_state[i] = state_sum + diag_vector[i] * state[i] - return (state_sum + (diag_vector * state)) % p - - -@njit(cache=True) -def _permute_jit( - state: NDArray[np.int64], - round_constants: NDArray[np.int64], - diag_vector: NDArray[np.int64], - m4t: NDArray[np.int64], - width: int, - half_rounds_f: int, - rounds_p: int, - p: int, -) -> None: - """ - Full Poseidon2 permutation, compiled to native code. - - Modifies state array in-place. - S-box: x^3 computed as (x*x % p) * x % p to avoid int64 overflow. - """ - const_idx = 0 - - # 1. Initial linear layer. - # - # Prevents certain algebraic attacks. - # Ensures the permutation begins with a diffusion layer. - state[:] = _external_linear_layer_jit(state, m4t, p) - - # 2. First half of full rounds. - # - # Note: for S_BOX_DEGREE=3, state**3 would overflow int64 before modulo. - # Values reach up to 2^93, but int64 max is 2^63. - # Expand S-box to `(state*state % P) * state % P` to stay in range. - for _ in range(half_rounds_f): - # Add round constants to entire state. - state[:] = (state + round_constants[const_idx : const_idx + width]) % p - const_idx += width - - # Apply S-box (x -> x^d) to full state. - state[:] = (state * state % p) * state % p - - # Apply external linear layer for diffusion. - state[:] = _external_linear_layer_jit(state, m4t, p) - - # 3. Partial rounds. - for _ in range(rounds_p): - # Add single round constant to first element. - state[0] = (state[0] + round_constants[const_idx]) % p - const_idx += 1 - - # Apply S-box to first element only. - # This is the main optimization of the Hades design. - state[0] = (state[0] * state[0] % p) * state[0] % p - - # Apply internal linear layer. - state[:] = _internal_linear_layer_jit(state, diag_vector, p) - - # 4. Second half of full rounds. - for _ in range(half_rounds_f): - # Add round constants to entire state. - state[:] = (state + round_constants[const_idx : const_idx + width]) % p - const_idx += width - - # Apply S-box to full state. - state[:] = (state * state % p) * state % p - - # Apply external linear layer for diffusion. - state[:] = _external_linear_layer_jit(state, m4t, p) - - -class Poseidon2Params(StrictBaseModel): - """Parameters for a specific Poseidon2 instance.""" - - width: int = Field(gt=0, description="The size of the state (t).") - rounds_f: int = Field(gt=0, description="Total number of 'full' rounds.") - rounds_p: int = Field(ge=0, description="Total number of 'partial' rounds.") - internal_diag_vectors: list[Fp] = Field( - min_length=1, - description=("Diagonal vectors for the efficient internal linear layer matrix (M_I)."), - ) - round_constants: list[Fp] = Field( - min_length=1, - description="The list of pre-computed constants for all rounds.", - ) - - @model_validator(mode="after") - def check_lengths(self) -> Self: - """Ensures vector lengths match the configuration.""" - if len(self.internal_diag_vectors) != self.width: - raise ValueError("Length of internal_diag_vectors must equal width.") - - expected_constants = (self.rounds_f * self.width) + self.rounds_p - if len(self.round_constants) != expected_constants: - raise ValueError("Incorrect number of round constants provided.") - - return self - - -class Poseidon2: - """ - Optimized execution engine for Poseidon2. - - Pre-processes parameters into numpy arrays during initialization. - Minimizes overhead during permute calls. - """ - - __slots__ = ("_width", "_half_rounds_f", "_rounds_p", "_diag_vector", "_round_constants") - - _width: int - """State size (t).""" - - _half_rounds_f: int - """Full rounds divided by 2.""" - - _rounds_p: int - """Number of partial rounds.""" - - _diag_vector: NDArray[np.int64] - """Diagonal vector for internal linear layer (M_I).""" - - _round_constants: NDArray[np.int64] - """Flattened array of all round constants.""" - - def __init__(self, params: Poseidon2Params) -> None: - """ - Initialize the engine with validated parameters. - - Converts Fp lists to int64 numpy arrays for speed. - """ - self._width = params.width - self._half_rounds_f = params.rounds_f // 2 - self._rounds_p = params.rounds_p - - # Pre-convert to numpy arrays. - # Avoids overhead in the hot loop. - self._diag_vector = np.array( - [fp.value for fp in params.internal_diag_vectors], dtype=np.int64 - ) - self._round_constants = np.array( - [fp.value for fp in params.round_constants], dtype=np.int64 - ) - - def permute(self, current_state: list[Fp]) -> list[Fp]: - """ - Perform the full Poseidon2 permutation. - - Structure: - - 1. Initial linear layer - 2. First half of full rounds - 3. Partial rounds - 4. Second half of full rounds - - Args: - current_state: List of Fp elements representing the current state. - - Returns: - New state after applying the permutation. - """ - if len(current_state) != self._width: - raise ValueError(f"Input state must have length {self._width}") - - state = np.array([fp.value for fp in current_state], dtype=np.int64) - - _permute_jit( - state, - self._round_constants, - self._diag_vector, - _M4_T, - self._width, - self._half_rounds_f, - self._rounds_p, - P, - ) - - return [Fp(value=int(x)) for x in state] - - -# Parameters for WIDTH = 16 -PARAMS_16 = Poseidon2Params( - width=16, - rounds_f=8, - rounds_p=20, - internal_diag_vectors=[ - Fp(value=-2), - Fp(value=1), - Fp(value=2), - Fp(value=1) / Fp(value=2), - Fp(value=3), - Fp(value=4), - Fp(value=-1) / Fp(value=2), - Fp(value=-3), - Fp(value=-4), - Fp(value=1) / Fp(value=2**8), - Fp(value=1) / Fp(value=8), - Fp(value=1) / Fp(value=2**24), - Fp(value=-1) / Fp(value=2**8), - Fp(value=-1) / Fp(value=8), - Fp(value=-1) / Fp(value=16), - Fp(value=-1) / Fp(value=2**24), - ], - round_constants=ROUND_CONSTANTS_16, -) - -# Parameters for WIDTH = 24 -PARAMS_24 = Poseidon2Params( - width=24, - rounds_f=8, - rounds_p=23, - internal_diag_vectors=[ - Fp(value=-2), - Fp(value=1), - Fp(value=2), - Fp(value=1) / Fp(value=2), - Fp(value=3), - Fp(value=4), - Fp(value=-1) / Fp(value=2), - Fp(value=-3), - Fp(value=-4), - Fp(value=1) / Fp(value=2**8), - Fp(value=1) / Fp(value=4), - Fp(value=1) / Fp(value=8), - Fp(value=1) / Fp(value=16), - Fp(value=1) / Fp(value=32), - Fp(value=1) / Fp(value=64), - Fp(value=1) / Fp(value=2**24), - Fp(value=-1) / Fp(value=2**8), - Fp(value=-1) / Fp(value=8), - Fp(value=-1) / Fp(value=16), - Fp(value=-1) / Fp(value=32), - Fp(value=-1) / Fp(value=64), - Fp(value=-1) / Fp(value=2**7), - Fp(value=-1) / Fp(value=2**9), - Fp(value=-1) / Fp(value=2**24), - ], - round_constants=ROUND_CONSTANTS_24, -) diff --git a/src/lean_spec/subspecs/validator/registry.py b/src/lean_spec/subspecs/validator/registry.py index 0b8e4215..feb66cdc 100644 --- a/src/lean_spec/subspecs/validator/registry.py +++ b/src/lean_spec/subspecs/validator/registry.py @@ -15,7 +15,7 @@ 2. **validator-keys-manifest.yaml** - Contains key metadata and file paths: key_scheme: SIGTopLevelTargetSumLifetime32Dim64Base8 - hash_function: Poseidon2 + hash_function: Poseidon1 num_validators: 3 validators: - index: 0 @@ -85,7 +85,7 @@ class ValidatorManifest(BaseModel): """Signature scheme identifier (e.g., SIGTopLevelTargetSumLifetime32Dim64Base8).""" hash_function: str - """Hash function used (e.g., Poseidon2).""" + """Hash function used (e.g., Poseidon1).""" encoding: str """Encoding type (e.g., TargetSum).""" diff --git a/src/lean_spec/subspecs/xmss/constants.py b/src/lean_spec/subspecs/xmss/constants.py index 3c391827..e43ac02d 100644 --- a/src/lean_spec/subspecs/xmss/constants.py +++ b/src/lean_spec/subspecs/xmss/constants.py @@ -79,7 +79,7 @@ def LIFETIME(self) -> Uint64: # noqa: N802 """The output length of the main tweakable hash function.""" CAPACITY: int - """The capacity of the Poseidon2 sponge, defining its security level.""" + """The capacity of the Poseidon1 sponge, defining its security level.""" POS_OUTPUT_LEN_PER_INV_FE: int """Output length per invocation for the message hash.""" diff --git a/src/lean_spec/subspecs/xmss/message_hash.py b/src/lean_spec/subspecs/xmss/message_hash.py index 13deb074..b6424a84 100644 --- a/src/lean_spec/subspecs/xmss/message_hash.py +++ b/src/lean_spec/subspecs/xmss/message_hash.py @@ -19,7 +19,7 @@ This process involves three main stages: 1. **Input Preparation**: All inputs (message, epoch, randomness, etc.) are unambiguously encoded into a uniform format (lists of field elements). -2. **Extended Hashing**: Poseidon2 is called iteratively to generate a long, +2. **Extended Hashing**: Poseidon1 is called iteratively to generate a long, pseudorandom output digest, effectively behaving like an eXtendable-Output Function (XOF). 3. **Mapping to Hypercube**: The long digest is treated as a large number, which @@ -77,7 +77,7 @@ def encode_message(self, message: Bytes32) -> list[Fp]: The message bytes are interpreted as a single little-endian integer, which is then decomposed into its base-`P` representation, where `P` is the field prime. This provides a canonical mapping from bytes to - the algebraic structure required by Poseidon2. + the algebraic structure required by Poseidon1. """ # Interpret the 32 little-endian bytes as a single large integer. acc = int.from_bytes(message, "little") @@ -151,14 +151,14 @@ def apply( Applies the full "Top Level" message hash and mapping procedure. This function generates a long pseudorandom digest by iteratively calling - Poseidon2 and then maps this digest to a candidate codeword (a vertex in + Poseidon1 and then maps this digest to a candidate codeword (a vertex in the hypercube). ### Hashing with Extended Output - A single Poseidon2 compression call produces a relatively short output. To + A single Poseidon1 compression call produces a relatively short output. To generate a sufficiently large random number for the hypercube mapping, this - function calls Poseidon2 multiple times in a loop. The iteration number `i` + function calls Poseidon1 multiple times in a loop. The iteration number `i` is used as a domain separator for each call, effectively creating a simple eXtendable-Output Function (XOF) from the fixed-output hash. @@ -176,7 +176,7 @@ def apply( message_fe = self.encode_message(message) epoch_fe = self.encode_epoch(epoch) - # Iteratively call Poseidon2 to generate a long hash output. + # Iteratively call Poseidon1 to generate a long hash output. # # The base input (rho || P || epoch || message) is reused each iteration. base_input = list(rho.data) + list(parameter.data) + epoch_fe + message_fe diff --git a/src/lean_spec/subspecs/xmss/poseidon.py b/src/lean_spec/subspecs/xmss/poseidon.py index cbe0ccf0..d5f645d6 100644 --- a/src/lean_spec/subspecs/xmss/poseidon.py +++ b/src/lean_spec/subspecs/xmss/poseidon.py @@ -1,18 +1,18 @@ """ -Defines the Poseidon2 hash functions for the Generalized XMSS scheme. +Defines the Poseidon1 hash functions for the Generalized XMSS scheme. -### The Cryptographic Engine: Why Poseidon2? +### The Cryptographic Engine: Why Poseidon1? This module provides the low-level cryptographic engine for all internal hashing -operations. It is built on **Poseidon2** hash function. +operations. It is built on **Poseidon1** hash function. -The choice of Poseidon2 is deliberate and critical for the scheme's ultimate goal. -Unlike traditional hashes like SHA-3, Poseidon2 is an **arithmetization-friendly** +The choice of Poseidon1 is deliberate and critical for the scheme's ultimate goal. +Unlike traditional hashes like SHA-3, Poseidon1 is an **arithmetization-friendly** (or **SNARK-friendly**) hash function. Its algebraic structure is simple, making it exponentially faster to prove and verify inside a zero-knowledge proof system, which is essential for aggregating many signatures into a single, compact proof. -This file provides wrappers for the two primary ways Poseidon2 is used: +This file provides wrappers for the two primary ways Poseidon1 is used: 1. **Compression Mode**: A fast, fixed-input-size mode for hashing small, predictable data structures like a single hash digest or a pair of them. @@ -27,37 +27,37 @@ from lean_spec.types import StrictBaseModel from ..koalabear import Fp -from ..poseidon2.permutation import ( +from ..poseidon1.permutation import ( PARAMS_16, PARAMS_24, - Poseidon2, - Poseidon2Params, + Poseidon1, + Poseidon1Params, ) from ._validation import enforce_strict_types from .utils import int_to_base_p class PoseidonXmss(StrictBaseModel): - """An instance of the Poseidon2 hash engine for the XMSS scheme.""" + """An instance of the Poseidon1 hash engine for the XMSS scheme.""" - params16: Poseidon2Params - """Poseidon2 parameters for 16-width permutation.""" + params16: Poseidon1Params + """Poseidon1 parameters for 16-width permutation.""" - params24: Poseidon2Params - """Poseidon2 parameters for 24-width permutation.""" + params24: Poseidon1Params + """Poseidon1 parameters for 24-width permutation.""" @model_validator(mode="after") def _validate_strict_types(self) -> PoseidonXmss: """Reject subclasses to prevent type confusion attacks.""" - enforce_strict_types(self, params16=Poseidon2Params, params24=Poseidon2Params) + enforce_strict_types(self, params16=Poseidon1Params, params24=Poseidon1Params) return self def compress(self, input_vec: list[Fp], width: int, output_len: int) -> list[Fp]: """ - Implements the Poseidon2 hash in **compression mode**. + Implements the Poseidon1 hash in **compression mode**. This mode is used for hashing fixed-size inputs and is the most efficient - way to use Poseidon2. It is used for traversing hash chains and building + way to use Poseidon1. It is used for traversing hash chains and building the internal nodes of the Merkle tree. ### Compression Algorithm @@ -66,13 +66,13 @@ def compress(self, input_vec: list[Fp], width: int, output_len: int) -> list[Fp] 1. **Padding**: The `input_vec` is padded with zeros to match the full state `width`. 2. **Permutation**: The core cryptographic permutation is applied to the padded state. 3. **Feed-Forward**: The original padded input is added element-wise to the - permuted state. This is a key feature of the Poseidon2 design that + permuted state. This is a key feature of the Poseidon1 design that provides security against certain attacks. 4. **Truncation**: The result is truncated to the desired `output_len`. Args: input_vec: The list of field elements to be hashed. - width: The state width of the Poseidon2 permutation (16 or 24). + width: The state width of the Poseidon1 permutation (16 or 24). output_len: The number of field elements in the output digest. Returns: @@ -90,8 +90,8 @@ def compress(self, input_vec: list[Fp], width: int, output_len: int) -> list[Fp] # Create a padded input by extending with zeros to match the state width. padded_input = list(input_vec) + [Fp(value=0)] * (width - len(input_vec)) - # Apply the Poseidon2 permutation. - permuted_state = Poseidon2(params).permute(padded_input) + # Apply the Poseidon1 permutation. + permuted_state = Poseidon1(params).permute(padded_input) # Apply the feed-forward step, adding the input back element-wise. final_state = [p + i for p, i in zip(permuted_state, padded_input, strict=True)] @@ -138,7 +138,7 @@ def sponge( width: int, ) -> list[Fp]: """ - Implements the Poseidon2 hash using the **sponge construction**. + Implements the Poseidon1 hash using the **sponge construction**. This mode is used for hashing large or variable-length inputs. In this scheme, it is specifically used to hash the Merkle tree leaves, which consist of many @@ -162,7 +162,7 @@ def sponge( input_vec: The input data of arbitrary length. capacity_value: The domain-separating value from `safe_domain_separator`. output_len: The number of field elements in the final output digest. - width: The width of the Poseidon2 permutation. + width: The width of the Poseidon1 permutation. Returns: A hash digest of `output_len` field elements. @@ -188,7 +188,7 @@ def sponge( state[rate:] = capacity_value # Create the engine once for efficiency. - engine = Poseidon2(params) + engine = Poseidon1(params) # Absorb the input in rate-sized chunks. for i in range(0, len(padded_input), rate): diff --git a/src/lean_spec/subspecs/xmss/tweak_hash.py b/src/lean_spec/subspecs/xmss/tweak_hash.py index 3657f051..60717190 100644 --- a/src/lean_spec/subspecs/xmss/tweak_hash.py +++ b/src/lean_spec/subspecs/xmss/tweak_hash.py @@ -1,9 +1,9 @@ """ -Defines the Tweakable Hash function using Poseidon2. +Defines the Tweakable Hash function using Poseidon1. ### The Problem: Hash Function Overload -In a complex cryptographic scheme like XMSS, a single hash function (like Poseidon2) +In a complex cryptographic scheme like XMSS, a single hash function (like Poseidon1) is used for many different purposes: 1. Hashing iteratively to form **hash chains**. 2. Hashing pairs of nodes to build the **Merkle tree**. @@ -97,7 +97,7 @@ def _encode_tweak(self, tweak: TreeTweak | ChainTweak, length: int) -> list[Fp]: Encodes a structured tweak object into a list of field elements. It converts a high-level tweak context (like "Merkle tree, level 5, index 3") - into a low-level format that can be consumed by the Poseidon2 hash function. + into a low-level format that can be consumed by the Poseidon1 hash function. ### Encoding Algorithm @@ -144,10 +144,10 @@ def apply( message_parts: list[HashDigestVector], ) -> HashDigestVector: """ - Applies the tweakable Poseidon2 hash function to a message. + Applies the tweakable Poseidon1 hash function to a message. This is the main entry point for all internal hashing operations. It prepares - the inputs and routes them to the appropriate Poseidon2 function based on + the inputs and routes them to the appropriate Poseidon1 function based on the input size, ensuring optimal performance and security. ### Hashing Algorithm @@ -157,7 +157,7 @@ def apply( 2. **Mode Selection**: - For small inputs (1 or 2 `HashDigest` parts), it uses the highly - efficient **compression mode** of Poseidon2. + efficient **compression mode** of Poseidon1. - For large inputs (many `HashDigest` parts, like a Merkle leaf), it uses the more flexible **sponge mode**. @@ -175,7 +175,7 @@ def apply( # Encode the high-level tweak structure into a list of field elements. encoded_tweak = self._encode_tweak(tweak, config.TWEAK_LEN_FE) - # Route to the correct Poseidon2 mode based on the input size. + # Route to the correct Poseidon1 mode based on the input size. if len(message_parts) == 1: # Case 1: Hashing a single digest (used in hash chains). # diff --git a/src/lean_spec/subspecs/xmss/types.py b/src/lean_spec/subspecs/xmss/types.py index 99ac8178..41fe7fc0 100644 --- a/src/lean_spec/subspecs/xmss/types.py +++ b/src/lean_spec/subspecs/xmss/types.py @@ -27,7 +27,7 @@ class PRFKey(BaseBytes): The fixed length of a hash digest in field elements. Derived from `TARGET_CONFIG.HASH_LEN_FE`. This corresponds to the output length -of the Poseidon2 hash function used in the XMSS scheme. +of the Poseidon1 hash function used in the XMSS scheme. """ # Calculate the maximum number of nodes in a sparse Merkle tree layer: @@ -49,7 +49,7 @@ class HashDigestVector(SSZVector[Fp]): """ A single hash digest represented as a fixed-size vector of field elements. - This is the SSZ-compliant representation of a Poseidon2 hash output. + This is the SSZ-compliant representation of a Poseidon1 hash output. In SSZ notation: `Vector[Fp, HASH_DIGEST_LENGTH]` The fixed size enables efficient serialization when used in collections, diff --git a/tests/lean_spec/subspecs/poseidon1/test_permutation.py b/tests/lean_spec/subspecs/poseidon1/test_permutation.py new file mode 100644 index 00000000..646aa317 --- /dev/null +++ b/tests/lean_spec/subspecs/poseidon1/test_permutation.py @@ -0,0 +1,99 @@ +"""Tests for the Poseidon1 permutation for widths 16 and 24. + +Test vectors are taken from Plonky3 (koala-bear/src/poseidon1.rs). +To verify independently, run `cargo test` in the Plonky3 koala-bear crate. +""" + +import pytest + +from lean_spec.subspecs.koalabear.field import Fp +from lean_spec.subspecs.poseidon1.permutation import ( + PARAMS_16, + PARAMS_24, + Poseidon1, + Poseidon1Params, +) + +# --- Test Vectors (from Plonky3 koala-bear/src/poseidon1.rs) --- + +# Input vector for width 16: [0, 1, 2, ..., 15] +INPUT_16 = [Fp(value=i) for i in range(16)] + +# Expected output for width 16. +# From Plonky3 test_poseidon_width_16. +EXPECTED_16 = [ + Fp(value=610090613), + Fp(value=935319874), + Fp(value=1893335292), + Fp(value=796792199), + Fp(value=356405232), + Fp(value=552237741), + Fp(value=55134556), + Fp(value=1215104204), + Fp(value=1823723405), + Fp(value=1133298033), + Fp(value=1780633798), + Fp(value=1453946561), + Fp(value=710069176), + Fp(value=1128629550), + Fp(value=1917333254), + Fp(value=1175481618), +] + +# Input vector for width 24: [0, 1, 2, ..., 23] +INPUT_24 = [Fp(value=i) for i in range(24)] + +# Expected output for width 24. +# From Plonky3 test_poseidon_width_24. +EXPECTED_24 = [ + Fp(value=511672087), + Fp(value=215882318), + Fp(value=237782537), + Fp(value=740528428), + Fp(value=712760904), + Fp(value=54615367), + Fp(value=751514671), + Fp(value=110231969), + Fp(value=1905276435), + Fp(value=992525666), + Fp(value=918312360), + Fp(value=18628693), + Fp(value=749929200), + Fp(value=1916418953), + Fp(value=691276896), + Fp(value=1112901727), + Fp(value=1163558623), + Fp(value=882867603), + Fp(value=673396520), + Fp(value=1480278156), + Fp(value=1402044758), + Fp(value=1693467175), + Fp(value=1766273044), + Fp(value=433841551), +] + + +@pytest.mark.parametrize( + "params, input_state, expected_output", + [ + (PARAMS_16, INPUT_16, EXPECTED_16), + (PARAMS_24, INPUT_24, EXPECTED_24), + ], + ids=["width_16", "width_24"], +) +def test_permutation_vector( + params: Poseidon1Params, input_state: list[Fp], expected_output: list[Fp] +) -> None: + """ + Test the Poseidon1 permutation against known answer vectors. + + Serves as a regression test to ensure logic consistency. + Reference: Plonky3 koala-bear/src/poseidon1.rs tests. + """ + engine = Poseidon1(params) + output_state = engine.permute(input_state) + + assert len(output_state) == params.width + assert output_state == expected_output, ( + f"Permutation output for width {params.width} did not match." + ) diff --git a/tests/lean_spec/subspecs/poseidon2/test_permutation.py b/tests/lean_spec/subspecs/poseidon2/test_permutation.py deleted file mode 100644 index f141d82e..00000000 --- a/tests/lean_spec/subspecs/poseidon2/test_permutation.py +++ /dev/null @@ -1,132 +0,0 @@ -"""Tests for the Poseidon2 permutation for widths 16 and 24.""" - -import pytest - -from lean_spec.subspecs.koalabear.field import Fp -from lean_spec.subspecs.poseidon2.permutation import ( - PARAMS_16, - PARAMS_24, - Poseidon2, - Poseidon2Params, -) - -# --- Test Vectors --- - -# Input vector for width 16 -INPUT_16 = [ - Fp(value=894848333), - Fp(value=1437655012), - Fp(value=1200606629), - Fp(value=1690012884), - Fp(value=71131202), - Fp(value=1749206695), - Fp(value=1717947831), - Fp(value=120589055), - Fp(value=19776022), - Fp(value=42382981), - Fp(value=1831865506), - Fp(value=724844064), - Fp(value=171220207), - Fp(value=1299207443), - Fp(value=227047920), - Fp(value=1783754913), -] -# Expected output for width 16. -EXPECTED_16 = [ - Fp(value=190453639), - Fp(value=458899855), - Fp(value=383789123), - Fp(value=1958965770), - Fp(value=1470307143), - Fp(value=135446903), - Fp(value=1980271247), - Fp(value=26609194), - Fp(value=337889870), - Fp(value=543343594), - Fp(value=900082402), - Fp(value=1267415354), - Fp(value=1018710090), - Fp(value=902823573), - Fp(value=1161524658), - Fp(value=1483653556), -] - -# Input vector for width 24 -INPUT_24 = [ - Fp(value=886409618), - Fp(value=1327899896), - Fp(value=1902407911), - Fp(value=591953491), - Fp(value=648428576), - Fp(value=1844789031), - Fp(value=1198336108), - Fp(value=355597330), - Fp(value=1799586834), - Fp(value=59617783), - Fp(value=790334801), - Fp(value=1968791836), - Fp(value=559272107), - Fp(value=31054313), - Fp(value=1042221543), - Fp(value=474748436), - Fp(value=135686258), - Fp(value=263665994), - Fp(value=1962340735), - Fp(value=1741539604), - Fp(value=2026927696), - Fp(value=449439011), - Fp(value=1131357108), - Fp(value=50869465), -] -# Expected output for width 24. -EXPECTED_24 = [ - Fp(value=556605495), - Fp(value=885256863), - Fp(value=899046610), - Fp(value=1365261647), - Fp(value=799824470), - Fp(value=1363091631), - Fp(value=588658632), - Fp(value=173515151), - Fp(value=783308499), - Fp(value=1346358755), - Fp(value=1865380489), - Fp(value=1166148328), - Fp(value=1402826941), - Fp(value=434428806), - Fp(value=928050984), - Fp(value=1402941053), - Fp(value=201160368), - Fp(value=1850628943), - Fp(value=651578331), - Fp(value=12196116), - Fp(value=759351756), - Fp(value=948448587), - Fp(value=1529251366), - Fp(value=456048743), -] - - -@pytest.mark.parametrize( - "params, input_state, expected_output", - [ - (PARAMS_16, INPUT_16, EXPECTED_16), - (PARAMS_24, INPUT_24, EXPECTED_24), - ], - ids=["width_16", "width_24"], -) -def test_permutation_vector( - params: Poseidon2Params, input_state: list[Fp], expected_output: list[Fp] -) -> None: - """ - Test the Poseidon2 permutation against known answer vectors. - - Serves as a regression test to ensure logic consistency. - """ - engine = Poseidon2(params) - output_state = engine.permute(input_state) - - assert len(output_state) == params.width - assert output_state == expected_output, ( - f"Permutation output for width {params.width} did not match." - ) diff --git a/tests/lean_spec/subspecs/validator/test_registry.py b/tests/lean_spec/subspecs/validator/test_registry.py index df19872c..eb7cfd0b 100644 --- a/tests/lean_spec/subspecs/validator/test_registry.py +++ b/tests/lean_spec/subspecs/validator/test_registry.py @@ -155,7 +155,7 @@ def test_from_yaml_loads_assigned_validators(self, tmp_path: Path) -> None: yaml.dump( { "key_scheme": "SIGTopLevelTargetSumLifetime32Dim64Base8", - "hash_function": "Poseidon2", + "hash_function": "Poseidon1", "encoding": "TargetSum", "lifetime": 32, "log_num_active_epochs": 5, @@ -224,7 +224,7 @@ def test_from_yaml_unknown_node_returns_empty(self, tmp_path: Path) -> None: yaml.dump( { "key_scheme": "SIGTopLevelTargetSumLifetime32Dim64Base8", - "hash_function": "Poseidon2", + "hash_function": "Poseidon1", "encoding": "TargetSum", "lifetime": 32, "log_num_active_epochs": 5, @@ -253,7 +253,7 @@ def test_from_yaml_skips_missing_manifest_entries(self, tmp_path: Path) -> None: yaml.dump( { "key_scheme": "SIGTopLevelTargetSumLifetime32Dim64Base8", - "hash_function": "Poseidon2", + "hash_function": "Poseidon1", "encoding": "TargetSum", "lifetime": 32, "log_num_active_epochs": 5, @@ -300,7 +300,7 @@ def test_from_yaml_empty_file_returns_empty(self, tmp_path: Path) -> None: yaml.dump( { "key_scheme": "SIGTopLevelTargetSumLifetime32Dim64Base8", - "hash_function": "Poseidon2", + "hash_function": "Poseidon1", "encoding": "TargetSum", "lifetime": 32, "log_num_active_epochs": 5, @@ -329,7 +329,7 @@ def test_from_yaml_missing_key_file_raises(self, tmp_path: Path) -> None: yaml.dump( { "key_scheme": "SIGTopLevelTargetSumLifetime32Dim64Base8", - "hash_function": "Poseidon2", + "hash_function": "Poseidon1", "encoding": "TargetSum", "lifetime": 32, "log_num_active_epochs": 5, @@ -365,7 +365,7 @@ def test_from_yaml_invalid_key_file_raises(self, tmp_path: Path) -> None: yaml.dump( { "key_scheme": "SIGTopLevelTargetSumLifetime32Dim64Base8", - "hash_function": "Poseidon2", + "hash_function": "Poseidon1", "encoding": "TargetSum", "lifetime": 32, "log_num_active_epochs": 5, diff --git a/tests/lean_spec/subspecs/xmss/test_strict_types.py b/tests/lean_spec/subspecs/xmss/test_strict_types.py index a0e45af4..ac27014e 100644 --- a/tests/lean_spec/subspecs/xmss/test_strict_types.py +++ b/tests/lean_spec/subspecs/xmss/test_strict_types.py @@ -8,7 +8,7 @@ import pytest from pydantic import ValidationError -from lean_spec.subspecs.poseidon2.permutation import Poseidon2Params +from lean_spec.subspecs.poseidon1.permutation import Poseidon1Params from lean_spec.subspecs.xmss.constants import PROD_CONFIG, TEST_CONFIG, XmssConfig from lean_spec.subspecs.xmss.interface import GeneralizedXmssScheme from lean_spec.subspecs.xmss.message_hash import PROD_MESSAGE_HASHER, MessageHasher @@ -327,27 +327,27 @@ def test_poseidon_accepts_exact_types(self) -> None: assert poseidon.params16 == PROD_POSEIDON.params16 def test_poseidon_rejects_subclass_params16(self) -> None: - """PoseidonXmss rejects Poseidon2Params subclass for params16.""" + """PoseidonXmss rejects Poseidon1Params subclass for params16.""" - class CustomParams(Poseidon2Params): + class CustomParams(Poseidon1Params): pass - custom_params = Poseidon2Params.__new__(CustomParams) + custom_params = Poseidon1Params.__new__(CustomParams) custom_params.__dict__.update(PROD_POSEIDON.params16.__dict__) - with pytest.raises(TypeError, match="params16 must be exactly Poseidon2Params"): + with pytest.raises(TypeError, match="params16 must be exactly Poseidon1Params"): PoseidonXmss(params16=custom_params, params24=PROD_POSEIDON.params24) def test_poseidon_rejects_subclass_params24(self) -> None: - """PoseidonXmss rejects Poseidon2Params subclass for params24.""" + """PoseidonXmss rejects Poseidon1Params subclass for params24.""" - class CustomParams(Poseidon2Params): + class CustomParams(Poseidon1Params): pass - custom_params = Poseidon2Params.__new__(CustomParams) + custom_params = Poseidon1Params.__new__(CustomParams) custom_params.__dict__.update(PROD_POSEIDON.params24.__dict__) - with pytest.raises(TypeError, match="params24 must be exactly Poseidon2Params"): + with pytest.raises(TypeError, match="params24 must be exactly Poseidon1Params"): PoseidonXmss(params16=PROD_POSEIDON.params16, params24=custom_params) def test_poseidon_rejects_wrong_type_params16(self) -> None: From d9cefbf3e5e2c5b6d755ed7751e31dada7633b41 Mon Sep 17 00:00:00 2001 From: Thomas Coratger Date: Mon, 16 Mar 2026 23:06:46 +0100 Subject: [PATCH 2/5] cleanup --- tests/lean_spec/subspecs/poseidon1/test_permutation.py | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/tests/lean_spec/subspecs/poseidon1/test_permutation.py b/tests/lean_spec/subspecs/poseidon1/test_permutation.py index 646aa317..45b0119b 100644 --- a/tests/lean_spec/subspecs/poseidon1/test_permutation.py +++ b/tests/lean_spec/subspecs/poseidon1/test_permutation.py @@ -20,7 +20,8 @@ INPUT_16 = [Fp(value=i) for i in range(16)] # Expected output for width 16. -# From Plonky3 test_poseidon_width_16. +# +# From Plonky3. EXPECTED_16 = [ Fp(value=610090613), Fp(value=935319874), @@ -44,7 +45,8 @@ INPUT_24 = [Fp(value=i) for i in range(24)] # Expected output for width 24. -# From Plonky3 test_poseidon_width_24. +# +# From Plonky3. EXPECTED_24 = [ Fp(value=511672087), Fp(value=215882318), From cdd920ff2bd5ac359e19212892ae7357308a3030 Mon Sep 17 00:00:00 2001 From: Thomas Coratger Date: Tue, 17 Mar 2026 18:45:56 +0100 Subject: [PATCH 3/5] add zk friendly encoding --- .../test_keys/test_scheme/0.json | 8 +- .../test_keys/test_scheme/1.json | 8 +- .../test_keys/test_scheme/10.json | 8 +- .../test_keys/test_scheme/11.json | 8 +- .../test_keys/test_scheme/2.json | 8 +- .../test_keys/test_scheme/3.json | 8 +- .../test_keys/test_scheme/4.json | 8 +- .../test_keys/test_scheme/5.json | 8 +- .../test_keys/test_scheme/6.json | 8 +- .../test_keys/test_scheme/7.json | 8 +- .../test_keys/test_scheme/8.json | 8 +- .../test_keys/test_scheme/9.json | 8 +- src/lean_spec/subspecs/xmss/constants.py | 43 +-- src/lean_spec/subspecs/xmss/message_hash.py | 145 ++++----- src/lean_spec/subspecs/xmss/target_sum.py | 4 + .../subspecs/xmss/test_message_hash.py | 73 +++-- .../subspecs/xmss/test_security_levels.py | 294 ++++++++++++++++++ 17 files changed, 476 insertions(+), 179 deletions(-) create mode 100644 tests/lean_spec/subspecs/xmss/test_security_levels.py diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/0.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/0.json index b900b4cd..32826f21 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/0.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/0.json @@ -1,6 +1,6 @@ { - "attestation_public": "9ab31442a55a27113045e01b19520e1d7a4a1b0bc691633db1cd49039cb48e37c773520fc5740d20d5e4d87c3e24862062742d65", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/1.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/1.json index ee549c3c..c970912e 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/1.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/1.json @@ -1,6 +1,6 @@ { - "attestation_public": "cc65686bd20f6e22c7d2f77754e22c6fb956b238b028db290e36691b991bd0216b56e67242474128869c0045de0a3901bf5c025b", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/10.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/10.json index e7d70158..20c2c0cc 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/10.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/10.json @@ -1,6 +1,6 @@ { - "attestation_public": "7548304874376c37e0772b50967c6365bb3b0056f3ad3d7e074dae1df755216dafb43506170d3379fddb2802e906632fc4ade759", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/11.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/11.json index 5982808b..cceadea3 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/11.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/11.json @@ -1,6 +1,6 @@ { - "attestation_public": "39257650598ded0ed3e82a701582b9574c54230903260057e3c70b4e6ab6b3375c3e477191bd072fa2cadd4a847b234791697b55", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/2.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/2.json index 8eb7e7ba..55e1429c 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/2.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/2.json @@ -1,6 +1,6 @@ { - "attestation_public": "a0ae38672dd43d1a63547d5e51ade3559e531727a75b79007cb48d516a03ec3fb4a5d90e3963d870ec75c3095283e8593c21a762", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/4.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/4.json index 9c31cf32..b5150624 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/4.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/4.json @@ -1,6 +1,6 @@ { - "attestation_public": "c86ab8796d1cac3ad2fb1a075b8a961133399f773a2f606f43b89e15d42e46733236407cd351ba7892aea42244aab61d4b87513f", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/5.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/5.json index 03583e25..e474dbe6 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/5.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/5.json @@ -1,6 +1,6 @@ { - "attestation_public": "46ff3255bc7fc52247c2ca5d1b18740cd51ed64705edb712154a1326a3ad9d1e303d013a9bf94f6aafcb8d66210ff94569421b2b", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/6.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/6.json index 46e22055..24867bdb 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/6.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/6.json @@ -1,6 +1,6 @@ { - "attestation_public": "b3b41d2ed0d94950019f4b66eb8f8823c44ebf368efd241bbc6df32ad29c3c33b4cf473343a4424c67816b1b33dc5e2744724129", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/7.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/7.json index 5b2ee0c3..f00a6ebc 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/7.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/7.json @@ -1,6 +1,6 @@ { - "attestation_public": "49c3722480b8d410a78e911cf62a8b33cce5697c69bf9f651a1c4074615c385722496a3a0ebc5c338fe31a63d9032272ca01f74f", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/8.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/8.json index b1fd7dea..b2715fad 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/8.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/8.json @@ -1,6 +1,6 @@ { - "attestation_public": "5b1ac25cc16c4a5d5a36fc1522898268fd94b2130e06382a9c6578476972377037283d0239012c28a0cbc90576f2dc347f75a274", - "attestation_secret": 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} \ No newline at end of file diff --git a/packages/testing/src/consensus_testing/test_keys/test_scheme/9.json b/packages/testing/src/consensus_testing/test_keys/test_scheme/9.json index d9fbd6e7..a2d98e46 100644 --- a/packages/testing/src/consensus_testing/test_keys/test_scheme/9.json +++ b/packages/testing/src/consensus_testing/test_keys/test_scheme/9.json @@ -1,6 +1,6 @@ { - "attestation_public": "eb41ca508664cd55c545ab69f7de345952db305ad76b376c2fd10b581f5aab6ab63dbc0fd84e2b6b2dc7b07794e300595232b366", - "attestation_secret": 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} \ No newline at end of file diff --git a/src/lean_spec/subspecs/xmss/constants.py b/src/lean_spec/subspecs/xmss/constants.py index e43ac02d..f239cbcb 100644 --- a/src/lean_spec/subspecs/xmss/constants.py +++ b/src/lean_spec/subspecs/xmss/constants.py @@ -11,13 +11,16 @@ from __future__ import annotations +import math from typing import Final +from pydantic import model_validator + from lean_spec.config import LEAN_ENV from lean_spec.types import StrictBaseModel, Uint64 from lean_spec.types.constants import OFFSET_BYTE_LENGTH -from ..koalabear import P_BYTES, Fp +from ..koalabear import P_BYTES, Fp, P class XmssConfig(StrictBaseModel): @@ -45,8 +48,11 @@ def LIFETIME(self) -> Uint64: # noqa: N802 BASE: int """The alphabet size for the digits of the encoded message.""" - FINAL_LAYER: int - """Number of top layers of the hypercube to map the hash output into.""" + Z: int + """Number of base-`BASE` digits extracted from each field element.""" + + Q: int + """Quotient such that `Q * BASE^Z == P - 1`.""" TARGET_SUM: int """The required sum of all codeword chunks for a signature to be valid.""" @@ -81,16 +87,17 @@ def LIFETIME(self) -> Uint64: # noqa: N802 CAPACITY: int """The capacity of the Poseidon1 sponge, defining its security level.""" - POS_OUTPUT_LEN_PER_INV_FE: int - """Output length per invocation for the message hash.""" - - POS_INVOCATIONS: int - """Number of invocations for the message hash.""" + @model_validator(mode="after") + def _validate_decomposition(self) -> XmssConfig: + """Verify that Q * BASE^Z == P - 1.""" + if self.Q * self.BASE**self.Z != P - 1: + raise ValueError(f"Q * BASE^Z must equal P-1={P - 1}") + return self @property - def POS_OUTPUT_LEN_FE(self) -> int: # noqa: N802 - """Total output length for the message hash.""" - return self.POS_OUTPUT_LEN_PER_INV_FE * self.POS_INVOCATIONS + def MH_HASH_LEN_FE(self) -> int: # noqa: N802 + """Number of Poseidon output field elements needed for the aborting decode.""" + return math.ceil(self.DIMENSION / self.Z) @property def PUBLIC_KEY_LEN_BYTES(self) -> int: # noqa: N802 @@ -121,10 +128,11 @@ def SIGNATURE_LEN_BYTES(self) -> int: # noqa: N802 PROD_CONFIG: Final = XmssConfig( MESSAGE_LENGTH=32, LOG_LIFETIME=32, - DIMENSION=64, + DIMENSION=46, BASE=8, - FINAL_LAYER=77, - TARGET_SUM=375, + Z=8, + Q=127, + TARGET_SUM=200, MAX_TRIES=100_000, PARAMETER_LEN=5, TWEAK_LEN_FE=2, @@ -132,8 +140,6 @@ def SIGNATURE_LEN_BYTES(self) -> int: # noqa: N802 RAND_LEN_FE=7, HASH_LEN_FE=8, CAPACITY=9, - POS_OUTPUT_LEN_PER_INV_FE=15, - POS_INVOCATIONS=1, ) @@ -142,7 +148,8 @@ def SIGNATURE_LEN_BYTES(self) -> int: # noqa: N802 LOG_LIFETIME=8, DIMENSION=4, BASE=4, - FINAL_LAYER=6, + Z=2, + Q=133169152, TARGET_SUM=6, MAX_TRIES=100_000, PARAMETER_LEN=5, @@ -151,8 +158,6 @@ def SIGNATURE_LEN_BYTES(self) -> int: # noqa: N802 RAND_LEN_FE=7, HASH_LEN_FE=8, CAPACITY=9, - POS_OUTPUT_LEN_PER_INV_FE=15, - POS_INVOCATIONS=1, ) diff --git a/src/lean_spec/subspecs/xmss/message_hash.py b/src/lean_spec/subspecs/xmss/message_hash.py index b6424a84..16956351 100644 --- a/src/lean_spec/subspecs/xmss/message_hash.py +++ b/src/lean_spec/subspecs/xmss/message_hash.py @@ -1,30 +1,30 @@ """ -Defines the "Top Level" message hashing for the signature scheme. +Defines the message hashing for the signature scheme using aborting hypercube encoding. -### The Challenge: Efficiently Finding a Valid Codeword +### The Challenge: Efficiently Encoding a Message as a Codeword The "Target Sum" signature scheme requires the signer to find a `codeword` whose -digits sum to a specific value. This is equivalent to hashing a message and hoping the -output is on a single, specific "layer" of a high-dimensional hypercube. The -probability of this can be low, forcing the signer to try many times with different -randomness (`rho`). - -### The Solution: "Top Level" Hashing - -This module implements a more efficient approach. Instead of targeting a single layer, -we define a valid codeword as any vertex that lies within the **top `D` layers** of the -hypercube (where `D` is `FINAL_LAYER` in the configuration). This significantly -increases the target space, drastically reducing the number of retries the signer needs. - -This process involves three main stages: -1. **Input Preparation**: All inputs (message, epoch, randomness, etc.) are - unambiguously encoded into a uniform format (lists of field elements). -2. **Extended Hashing**: Poseidon1 is called iteratively to generate a long, - pseudorandom output digest, effectively behaving like an eXtendable-Output - Function (XOF). -3. **Mapping to Hypercube**: The long digest is treated as a large number, which - is then safely and deterministically mapped to a unique vertex within the - allowed top layers of the hypercube. +digits sum to a specific value. This requires hashing a message and mapping the +output to a vertex in a high-dimensional hypercube. + +### The Solution: Aborting Hypercube Encoding + +This module implements a circuit-friendly encoding based on rejection sampling of +individual field elements, eliminating all big-integer arithmetic. + +For KoalaBear (`P = 2^31 - 2^24 + 1`), `P - 1 = Q * BASE^Z`, so each field element +can be decomposed into `Z` base-`BASE` digits after dividing by `Q`. The only reject +case is `A_i == P - 1` (probability ~4.7e-10 per FE — essentially never aborts). + +This is backed by the "Aborting Random Oracles" paper which proves +indifferentiability from a theta-aborting random oracle when modeling Poseidon as a +standard random oracle. + +The encoding proceeds in two stages: + +1. **Input Preparation**: All inputs are encoded into field elements. +2. **Poseidon Hashing + Aborting Decode**: Poseidon1 produces `ceil(DIMENSION/Z)` + field elements, each decoded into `Z` base-`BASE` digits via rejection sampling. """ from __future__ import annotations @@ -38,7 +38,7 @@ ) from lean_spec.types import Bytes32, StrictBaseModel, Uint64 -from ..koalabear import Fp, P +from ..koalabear import Fp from ._validation import enforce_strict_types from .constants import ( PROD_CONFIG, @@ -46,17 +46,12 @@ TWEAK_PREFIX_MESSAGE, XmssConfig, ) -from .hypercube import ( - hypercube_find_layer, - hypercube_part_size, - map_to_vertex, -) from .types import Parameter, Randomness from .utils import int_to_base_p class MessageHasher(StrictBaseModel): - """An instance of the "Top Level" message hasher for a given config.""" + """An instance of the message hasher using aborting hypercube encoding.""" config: XmssConfig """Configuration parameters for the hasher.""" @@ -99,46 +94,39 @@ def encode_epoch(self, epoch: Uint64) -> list[Fp]: # Decompose the integer into its base-P representation. return int_to_base_p(acc, self.config.TWEAK_LEN_FE) - def _map_into_hypercube_part(self, field_elements: list[Fp]) -> list[int]: + def _aborting_decode(self, field_elements: list[Fp]) -> list[int] | None: """ - Maps a long, pseudorandom digest to a unique vertex within the top layers - of the signature hypercube. + Decodes Poseidon output field elements into base-`BASE` digits via rejection sampling. - This is the core of the "Top Level" strategy. It takes a large, uniformly - random number and maps it to a point in a smaller, highly structured set. + For each field element `A_i`: - ### Mapping Algorithm + 1. If `A_i >= Q * BASE^Z` (i.e. `A_i == P - 1`), abort and return `None`. + 2. Compute `d_i = A_i // Q`, an integer in `[0, BASE^Z - 1]`. + 3. Decompose `d_i` into `Z` base-`BASE` digits, least significant first. - 1. **Integer Reconstruction**: The input list of field elements is - interpreted as the base-P representation of a single, very large integer. - - 2. **Modular Reduction**: This integer is reduced modulo the `domain_size`, - which is the total number of vertices in the target top layers. This - step maps the large random value to a unique index within the target set. - - 3. **Index to Vertex**: This unique index is then deterministically - converted first into a `(layer, offset)` pair, and finally into the - specific coordinates of the corresponding hypercube vertex. + Collect all digits and return the first `DIMENSION` of them. """ - # Get the config for this scheme. config = self.config + threshold = config.Q * config.BASE**config.Z - # Combine field elements into one large integer (big-endian, base-P). - acc = 0 + digits: list[int] = [] for fe in field_elements: - acc = acc * P + fe.value + a = fe.value + + # Rejection: the only failing case is A_i == P - 1. + if a >= threshold: + return None - # Reduce this integer modulo the size of the target domain. - # - # The target domain is the set of all vertices in layers 0..FINAL_LAYER. - domain_size = hypercube_part_size(config.BASE, config.DIMENSION, config.FINAL_LAYER) - acc %= domain_size + # Integer quotient removes the Q-residue, leaving a uniform value in [0, BASE^Z - 1]. + d = a // config.Q - # Find which layer the resulting index falls into, and its offset. - layer, offset = hypercube_find_layer(config.BASE, config.DIMENSION, acc) + # Decompose d into Z base-BASE digits, least significant first. + for _ in range(config.Z): + digits.append(d % config.BASE) + d //= config.BASE - # Map the offset within the layer to a unique vertex. - return map_to_vertex(config.BASE, config.DIMENSION, layer, offset) + # Take exactly DIMENSION digits. + return digits[: config.DIMENSION] def apply( self, @@ -146,21 +134,12 @@ def apply( epoch: Uint64, rho: Randomness, message: Bytes32, - ) -> list[int]: + ) -> list[int] | None: """ - Applies the full "Top Level" message hash and mapping procedure. + Applies message hashing followed by aborting hypercube decode. - This function generates a long pseudorandom digest by iteratively calling - Poseidon1 and then maps this digest to a candidate codeword (a vertex in - the hypercube). - - ### Hashing with Extended Output - - A single Poseidon1 compression call produces a relatively short output. To - generate a sufficiently large random number for the hypercube mapping, this - function calls Poseidon1 multiple times in a loop. The iteration number `i` - is used as a domain separator for each call, effectively creating a simple - eXtendable-Output Function (XOF) from the fixed-output hash. + Hashes the inputs with Poseidon1 to produce `MH_HASH_LEN_FE` field elements, + then decodes them into a candidate codeword via rejection sampling. Args: parameter: The public parameter `P`. @@ -169,27 +148,19 @@ def apply( message: The 32-byte message to be hashed. Returns: - A candidate codeword, represented as a list of `DIMENSION` integers - (the coordinates of a vertex in the hypercube). + A candidate codeword (list of `DIMENSION` digits in `[0, BASE-1]`), + or `None` if the aborting decode rejects. """ # Encode the message and epoch as field elements. message_fe = self.encode_message(message) epoch_fe = self.encode_epoch(epoch) - # Iteratively call Poseidon1 to generate a long hash output. - # - # The base input (rho || P || epoch || message) is reused each iteration. + # Call Poseidon1 once to produce the required number of output field elements. base_input = list(rho.data) + list(parameter.data) + epoch_fe + message_fe - poseidon_outputs: list[Fp] = [] - output_len = self.config.POS_OUTPUT_LEN_PER_INV_FE - for i in range(self.config.POS_INVOCATIONS): - # Append iteration number as domain separator and hash. - poseidon_outputs.extend( - self.poseidon.compress(base_input + [Fp(value=i)], 24, output_len) - ) - - # Map the final aggregated list of field elements into a hypercube vertex. - return self._map_into_hypercube_part(poseidon_outputs) + poseidon_output = self.poseidon.compress(base_input, 24, self.config.MH_HASH_LEN_FE) + + # Decode the field elements into base-BASE digits via rejection sampling. + return self._aborting_decode(poseidon_output) PROD_MESSAGE_HASHER = MessageHasher(config=PROD_CONFIG, poseidon=PROD_POSEIDON) diff --git a/src/lean_spec/subspecs/xmss/target_sum.py b/src/lean_spec/subspecs/xmss/target_sum.py index b6a80f77..fc94cc24 100644 --- a/src/lean_spec/subspecs/xmss/target_sum.py +++ b/src/lean_spec/subspecs/xmss/target_sum.py @@ -75,6 +75,10 @@ def encode( # Hash the inputs to map them to a potential codeword (a vertex in the hypercube). codeword_candidate = self.message_hasher.apply(parameter, epoch, rho, message) + # The aborting decode may reject if a field element equals P - 1. + if codeword_candidate is None: + return None + # A codeword is valid only if it lies on the predefined hypercube layer. # # This is verified by checking if the sum of its coordinates equals TARGET_SUM. diff --git a/tests/lean_spec/subspecs/xmss/test_message_hash.py b/tests/lean_spec/subspecs/xmss/test_message_hash.py index f5d0175d..d3fb56f7 100644 --- a/tests/lean_spec/subspecs/xmss/test_message_hash.py +++ b/tests/lean_spec/subspecs/xmss/test_message_hash.py @@ -1,8 +1,8 @@ """ -Tests for the "Top Level" message hashing and encoding logic. +Tests for the message hashing and aborting hypercube encoding logic. """ -from lean_spec.subspecs.koalabear import Fp +from lean_spec.subspecs.koalabear import Fp, P from lean_spec.subspecs.xmss.constants import ( TEST_CONFIG, TWEAK_PREFIX_MESSAGE, @@ -57,10 +57,45 @@ def test_encode_epoch() -> None: seen_encodings.add(encoding) -def test_apply_output_is_in_correct_hypercube_part() -> None: +def test_aborting_decode_known_decomposition() -> None: + """Verifies aborting decode with a hand-computed example.""" + hasher = TEST_MESSAGE_HASHER + config = TEST_CONFIG + + # For TEST_CONFIG: Q=133169152, BASE=4, Z=2 + # If A_i = Q * 5 = 665845760, then d_i = 5, digits = [5 % 4, 5 // 4] = [1, 1] + # If A_i = Q * 0 = 0, then d_i = 0, digits = [0, 0] + fe_list = [Fp(value=config.Q * 5), Fp(value=0)] + result = hasher._aborting_decode(fe_list) + assert result is not None + # First FE: d=5, digits (LSB first) = [1, 1] + # Second FE: d=0, digits (LSB first) = [0, 0] + # Take first DIMENSION=4 digits + assert result == [1, 1, 0, 0] + + +def test_aborting_decode_boundary() -> None: + """Tests that FE = P-2 succeeds and FE = P-1 aborts.""" + hasher = TEST_MESSAGE_HASHER + config = TEST_CONFIG + + # P - 2 is the largest valid value (just below Q * BASE^Z = P - 1). + fe_valid = [Fp(value=P - 2)] * hasher.config.MH_HASH_LEN_FE + result = hasher._aborting_decode(fe_valid) + assert result is not None + assert len(result) == config.DIMENSION + assert all(0 <= d < config.BASE for d in result) + + # P - 1 triggers the abort (A_i >= Q * BASE^Z). + fe_abort = [Fp(value=P - 1)] + result = hasher._aborting_decode(fe_abort) + assert result is None + + +def test_apply_output_is_valid_codeword() -> None: """ - Tests that the output of `apply` is a valid vertex that lies within - the top `FINAL_LAYER` layers of the hypercube. + Tests that the output of `apply` is `None` or a valid codeword with + DIMENSION digits each in `[0, BASE-1]`. """ config = TEST_CONFIG hasher = TEST_MESSAGE_HASHER @@ -73,23 +108,11 @@ def test_apply_output_is_in_correct_hypercube_part() -> None: message = Bytes32(b"\xaa" * 32) # Call the message hash function. - vertex = hasher.apply(parameter, epoch, randomness, message) - - # Verify the properties of the output vertex. - # - # The length of the vertex must be equal to the hypercube's dimension. - assert len(vertex) == config.DIMENSION - # Each coordinate must be smaller than the base `w`. - assert all(0 <= coord < config.BASE for coord in vertex) - - # Check that the vertex lies in the correct set of layers. - # - # By definition, a vertex is in layer `d` if `d = v*(w-1) - sum(coords)`. - # - # We require `d <= FINAL_LAYER`. - # - # This is equivalent to `sum(coords) >= v*(w-1) - FINAL_LAYER`. - coord_sum = sum(vertex) - min_required_sum = (config.BASE - 1) * config.DIMENSION - config.FINAL_LAYER - - assert coord_sum >= min_required_sum, "Vertex is not in the top layers" + result = hasher.apply(parameter, epoch, randomness, message) + + # The aborting decode may return None, but in practice it almost never does. + assert result is not None + + # Verify the properties of the output codeword. + assert len(result) == config.DIMENSION + assert all(0 <= coord < config.BASE for coord in result) diff --git a/tests/lean_spec/subspecs/xmss/test_security_levels.py b/tests/lean_spec/subspecs/xmss/test_security_levels.py new file mode 100644 index 00000000..9f1c14ed --- /dev/null +++ b/tests/lean_spec/subspecs/xmss/test_security_levels.py @@ -0,0 +1,294 @@ +""" +Validates that XMSS parameter choices achieve adequate classical and quantum security. + +Based on: + +- [DKKW25c] "Hash-Based Multi-Signatures for Post-Quantum Ethereum" + (https://eprint.iacr.org/2025/055.pdf) +- [HKKTW26] "Aborting Random Oracles" + (https://eprint.iacr.org/2026/016) + +The security analysis follows the framework of [DKKW25c] Section 6. Theorem 1 +gives an advantage bound as the sum of five terms. Each term divided by attacker +running time must be at most `2^{-(k + log5)}`, yielding four independent +constraints (Parameter Requirements 2 and 3): + +1. Digest (SM-UD/SM-PRE via Eq 8-9 / Eq 15) +2. Public parameter (SM-TCR via Eq 6-7 / Eq 16) +3. Message hash (SM-rTCR via Eq 10 / Eq 13) +4. Randomness (SM-rTCR via Eq 10 / Eq 14) + +The abort correction from [HKKTW26] Corollary 1 and Remark 14 adjusts the +message hash bound: the aborting decode effectively enlarges the output space +to `|H|/(1 - theta)`, where `theta` is the abort probability. +""" + +import math + +import pytest + +from lean_spec.subspecs.koalabear import P +from lean_spec.subspecs.xmss.constants import PROD_CONFIG, XmssConfig +from lean_spec.subspecs.xmss.hypercube import _calculate_layer_size + + +def _compute_security_levels(config: XmssConfig) -> dict[str, float]: + """ + Computes classical and quantum security levels for an XMSS configuration. + + Returns a dict with keys: + + - `k_classical`: effective classical security (bits) + - `k_quantum`: effective quantum security (bits) + - `expected_attempts`: expected signing attempts per message + - `signing_failure_log2`: log2 of probability that all MAX_TRIES attempts fail + """ + v = config.DIMENSION + w_bits = int(math.log2(config.BASE)) + base = config.BASE + + # Bit sizes of the parameter spaces. + # + # Each KoalaBear field element contributes floor(log2(P)) = 31 bits. + fe_bits = 31 + bits_digest = config.HASH_LEN_FE * fe_bits + bits_param = config.PARAMETER_LEN * fe_bits + bits_rand = config.RAND_LEN_FE * fe_bits + + # Raw message hash output: v chunks of w bits each. + bits_msg = v * w_bits + + # Abort correction from [HKKTW26] Corollary 1, Remark 14. + # + # Each field element aborts iff A_i >= Q * BASE^Z (i.e., A_i == P - 1). + # The non-abort probability per FE is (Q * BASE^Z) / P = (P - 1) / P. + # Over ell = ceil(v / Z) field elements, the total non-abort probability is: + # (1 - theta) = ((P - 1) / P) ^ ell + # + # The aborting rTCR bound ([HKKTW26] Corollary 1) gains a factor (1 - theta), + # which is equivalent to hashing into a space of size |H| / (1 - theta). + # This adds -log2(1 - theta) bits to the effective message hash output. + wz = base**config.Z + q = config.Q + ell = math.ceil(v / config.Z) + + non_abort_total = ((q * wz) / P) ** ell + abort_correction_bits = -math.log2(non_abort_total) + + bits_msg_eff = bits_msg + abort_correction_bits + + # Useful logarithmic constants. + log5 = math.log2(5) + log12 = math.log2(12) + log3 = math.log2(3) + log_lifetime = math.log2(config.LIFETIME) + logv = math.log2(v) + log_max_tries = math.log2(config.MAX_TRIES) + logqs = math.log2(config.LIFETIME) + + # Classical security: minimum over four attack surfaces. + # + # Each bound derives from the requirement that each of the five terms in + # Theorem 1 satisfies Adv_i / T(A) <= 2^{-(k_C + log5)}. + k_classical = min( + # [DKKW25c] Eq (15): SM-UD + SM-PRE on the digest hash Th. + bits_digest - log5 - 2 * w_bits - log_lifetime - logv, + # [DKKW25c] Eq (16): SM-TCR on the public parameter space. + bits_param - log5 - 3, + # [DKKW25c] Eq (13) + [HKKTW26] Corollary 1: SM-rTCR on message hash. + bits_msg_eff - log5 - 1, + # [DKKW25c] Eq (14): SM-rTCR randomness reprogramming. + bits_rand - log5 - logqs - log_max_tries - 1, + ) + + # Quantum security: minimum over four attack surfaces. + # + # Uses quantum ROM bounds from [DKKW25c] Table 1. + k_quantum = min( + # [DKKW25c] Eq (15), quantum: digest hash. + bits_digest / 2 - log5 - 2 * w_bits - log_lifetime - logv - log12, + # [DKKW25c] Eq (16), quantum: public parameter. + (bits_param - 5) / 2 - log5 - 2, + # [DKKW25c] Eq (13) + [HKKTW26] Corollary 1, quantum: message hash. + (bits_msg_eff - 3) / 2 - log5 - 1, + # [DKKW25c] Eq (14), quantum: randomness reprogramming. + (bits_rand - logqs) / 2 - log5 - log3 - log_max_tries, + ) + + # Expected signing attempts for target-sum encoding. + # + # [DKKW25c] Construction 6, Lemma 7: the number of valid codewords is + # |C| = #{x in Z_W^v : sum(x_i) = T}, the layer size at distance + # d = v*(W-1) - T from the sink vertex. The inclusion-exclusion formula + # from _calculate_layer_size gives |C|. + # + # Success probability per attempt = P(no abort) * P(target layer | no abort). + d = v * (base - 1) - config.TARGET_SUM + layer_size = _calculate_layer_size(base, v, d) + layer_prob = layer_size / base**v + success_prob = non_abort_total * layer_prob + expected_attempts = 1 / success_prob + + # [DKKW25c] Lemma 3: correctness error is delta^K where delta = 1 - success_prob. + signing_failure_log2 = config.MAX_TRIES * math.log2(1 - success_prob) + + return { + "k_classical": k_classical, + "k_quantum": k_quantum, + "expected_attempts": expected_attempts, + "signing_failure_log2": signing_failure_log2, + } + + +def test_prod_classical_security() -> None: + """Production parameters must achieve at least 128-bit classical security.""" + levels = _compute_security_levels(PROD_CONFIG) + assert levels["k_classical"] >= 128, ( + f"Classical security {levels['k_classical']:.2f} bits is below 128" + ) + + +def test_prod_quantum_security() -> None: + """Production parameters must achieve at least 64-bit quantum security.""" + levels = _compute_security_levels(PROD_CONFIG) + assert levels["k_quantum"] >= 64, f"Quantum security {levels['k_quantum']:.2f} bits is below 64" + + +def test_prod_signing_efficiency() -> None: + """Signing must succeed within a reasonable number of attempts on average.""" + levels = _compute_security_levels(PROD_CONFIG) + + # Expected attempts should be manageable (< 1000). + assert levels["expected_attempts"] < 1000, ( + f"Expected {levels['expected_attempts']:.2f} signing attempts is too high" + ) + + # The probability of MAX_TRIES consecutive failures must be astronomically small. + # log2(failure_prob) < -128 means failure probability < 2^{-128}. + assert levels["signing_failure_log2"] < -128, ( + f"Signing failure probability 2^{levels['signing_failure_log2']:.2f} is too high" + ) + + +def test_prod_abort_probability_is_negligible() -> None: + """ + The aborting decode rejection probability must be negligible. + + From [HKKTW26] Section 6.1: each FE has abort probability 1/P. + Over `ceil(v/Z)` FEs, the total abort probability is approximately + `ceil(v/Z) / P`. + """ + config = PROD_CONFIG + ell = math.ceil(config.DIMENSION / config.Z) + + # Per-FE non-abort probability: (Q * BASE^Z) / P = (P - 1) / P. + non_abort_per_fe = (config.Q * config.BASE**config.Z) / P + total_non_abort = non_abort_per_fe**ell + + # The abort probability should be less than 2^{-28} (~3.7e-9). + abort_prob = 1 - total_non_abort + assert abort_prob < 2**-28, f"Abort probability {abort_prob:.2e} is not negligible" + + +def test_prod_decomposition_invariant() -> None: + """ + Validates the fundamental relationship Q * BASE^Z == P - 1. + + From [HKKTW26] Section 6.1: for KoalaBear, P - 1 = 2^24 * 127. + With BASE = 2^w, the decomposition requires w | 24 so that + Z = 24 / w digits can be extracted from each field element. + """ + config = PROD_CONFIG + + # Core decomposition invariant (also checked at config construction time). + assert config.Q * config.BASE**config.Z == P - 1 + + # w must divide 24 for the rejection sampling to work with KoalaBear. + # + # P - 1 = 2^24 * 127, and BASE = 2^w, so we need w | 24. + w_bits = int(math.log2(config.BASE)) + assert config.BASE == 2**w_bits, "BASE must be a power of 2" + assert 24 % w_bits == 0, f"w={w_bits} must divide 24" + + # Z must equal 24 / w for the optimal decomposition (alpha = 1). + assert config.Z == 24 // w_bits, f"Z={config.Z} must equal 24/w={24 // w_bits}" + + +def test_prod_mh_hash_len_is_consistent() -> None: + """ + The Poseidon output length must produce enough digits to cover DIMENSION. + + From [HKKTW26] Section 6.1: ell = ceil(v / z) field elements produce + ell * z >= v base-w digits. + """ + config = PROD_CONFIG + assert config.MH_HASH_LEN_FE * config.Z >= config.DIMENSION + + +def test_prod_binding_constraint_is_message_hash() -> None: + """ + Verify the binding (smallest) constraint is the message hash for both + classical and quantum security, matching the design intent from [DKKW25c]. + """ + config = PROD_CONFIG + v = config.DIMENSION + w_bits = int(math.log2(config.BASE)) + fe_bits = 31 + + bits_digest = config.HASH_LEN_FE * fe_bits + bits_param = config.PARAMETER_LEN * fe_bits + bits_rand = config.RAND_LEN_FE * fe_bits + bits_msg = v * w_bits + + log5 = math.log2(5) + log_lifetime = math.log2(config.LIFETIME) + logv = math.log2(v) + log_max_tries = math.log2(config.MAX_TRIES) + + # Classical: the message hash bound v*w - log5 - 1 should be the tightest. + classical_bounds = [ + bits_digest - log5 - 2 * w_bits - log_lifetime - logv, + bits_param - log5 - 3, + bits_msg - log5 - 1, + bits_rand - log5 - log_lifetime - log_max_tries - 1, + ] + assert classical_bounds.index(min(classical_bounds)) == 2, ( + "Classical binding constraint should be message hash (index 2)" + ) + + +@pytest.mark.parametrize( + "param_name, value", + [ + ("DIMENSION", 46), + ("BASE", 8), + ("Z", 8), + ("Q", 127), + ("TARGET_SUM", 200), + ("LOG_LIFETIME", 32), + ("PARAMETER_LEN", 5), + ("TWEAK_LEN_FE", 2), + ("MSG_LEN_FE", 9), + ("RAND_LEN_FE", 7), + ("HASH_LEN_FE", 8), + ("CAPACITY", 9), + ], +) +def test_prod_config_matches_reference(param_name: str, value: int) -> None: + """ + Guards against accidental parameter drift. + + These values must match the canonical Rust implementation (leanSig). + """ + assert getattr(PROD_CONFIG, param_name) == value + + +def test_print_security_summary(capsys: pytest.CaptureFixture[str]) -> None: + """Prints a human-readable summary of the security analysis (informational).""" + levels = _compute_security_levels(PROD_CONFIG) + print("\n--- XMSS Production Security Summary ---") + print(f"Classical security: {levels['k_classical']:.2f} bits") + print(f"Quantum security: {levels['k_quantum']:.2f} bits") + print(f"Expected sign attempts: {levels['expected_attempts']:.2f}") + print(f"Signing failure (log2): {levels['signing_failure_log2']:.2f}") + print("----------------------------------------") From 2d18c07899c4ae6af03fc6976de76fb02be9adea Mon Sep 17 00:00:00 2001 From: Thomas Coratger Date: Thu, 26 Mar 2026 00:07:44 +0100 Subject: [PATCH 4/5] fix constants --- src/lean_spec/subspecs/xmss/constants.py | 6 ++--- .../subspecs/xmss/test_message_hash.py | 22 ++++++++++++------- 2 files changed, 17 insertions(+), 11 deletions(-) diff --git a/src/lean_spec/subspecs/xmss/constants.py b/src/lean_spec/subspecs/xmss/constants.py index f239cbcb..7cc9f03b 100644 --- a/src/lean_spec/subspecs/xmss/constants.py +++ b/src/lean_spec/subspecs/xmss/constants.py @@ -147,9 +147,9 @@ def SIGNATURE_LEN_BYTES(self) -> int: # noqa: N802 MESSAGE_LENGTH=32, LOG_LIFETIME=8, DIMENSION=4, - BASE=4, - Z=2, - Q=133169152, + BASE=8, + Z=8, + Q=127, TARGET_SUM=6, MAX_TRIES=100_000, PARAMETER_LEN=5, diff --git a/tests/lean_spec/subspecs/xmss/test_message_hash.py b/tests/lean_spec/subspecs/xmss/test_message_hash.py index d3fb56f7..a1bb2c0d 100644 --- a/tests/lean_spec/subspecs/xmss/test_message_hash.py +++ b/tests/lean_spec/subspecs/xmss/test_message_hash.py @@ -62,16 +62,22 @@ def test_aborting_decode_known_decomposition() -> None: hasher = TEST_MESSAGE_HASHER config = TEST_CONFIG - # For TEST_CONFIG: Q=133169152, BASE=4, Z=2 - # If A_i = Q * 5 = 665845760, then d_i = 5, digits = [5 % 4, 5 // 4] = [1, 1] - # If A_i = Q * 0 = 0, then d_i = 0, digits = [0, 0] - fe_list = [Fp(value=config.Q * 5), Fp(value=0)] + # Pick an arbitrary quotient multiplier to build a valid field element. + d_value = 5 + fe_list = [Fp(value=config.Q * d_value)] * hasher.config.MH_HASH_LEN_FE result = hasher._aborting_decode(fe_list) assert result is not None - # First FE: d=5, digits (LSB first) = [1, 1] - # Second FE: d=0, digits (LSB first) = [0, 0] - # Take first DIMENSION=4 digits - assert result == [1, 1, 0, 0] + assert len(result) == config.DIMENSION + + # Each FE decomposes d_value into Z base-BASE digits (LSB first), + # then the first DIMENSION digits are taken across all FEs. + digits_per_fe = [] + remaining = d_value + for _ in range(config.Z): + digits_per_fe.append(remaining % config.BASE) + remaining //= config.BASE + all_digits = (digits_per_fe * hasher.config.MH_HASH_LEN_FE)[: config.DIMENSION] + assert result == all_digits def test_aborting_decode_boundary() -> None: From bdb41be2652bb6f1db4069d114f7c80561be219a Mon Sep 17 00:00:00 2001 From: Tom Wambsgans Date: Thu, 26 Mar 2026 10:26:29 +0100 Subject: [PATCH 5/5] small changes (data ordering + replacement sponge) --- src/lean_spec/subspecs/xmss/message_hash.py | 2 +- src/lean_spec/subspecs/xmss/poseidon.py | 17 +++++++++-------- src/lean_spec/subspecs/xmss/tweak_hash.py | 2 +- 3 files changed, 11 insertions(+), 10 deletions(-) diff --git a/src/lean_spec/subspecs/xmss/message_hash.py b/src/lean_spec/subspecs/xmss/message_hash.py index 16956351..4d07971d 100644 --- a/src/lean_spec/subspecs/xmss/message_hash.py +++ b/src/lean_spec/subspecs/xmss/message_hash.py @@ -156,7 +156,7 @@ def apply( epoch_fe = self.encode_epoch(epoch) # Call Poseidon1 once to produce the required number of output field elements. - base_input = list(rho.data) + list(parameter.data) + epoch_fe + message_fe + base_input = message_fe + list(parameter.data) + epoch_fe + list(rho.data) poseidon_output = self.poseidon.compress(base_input, 24, self.config.MH_HASH_LEN_FE) # Decode the field elements into base-BASE digits via rejection sampling. diff --git a/src/lean_spec/subspecs/xmss/poseidon.py b/src/lean_spec/subspecs/xmss/poseidon.py index d5f645d6..20e2a0bc 100644 --- a/src/lean_spec/subspecs/xmss/poseidon.py +++ b/src/lean_spec/subspecs/xmss/poseidon.py @@ -182,28 +182,29 @@ def sponge( padded_input = input_vec + [Fp(value=0)] * num_extra # Initialize the state: - # - rate part is zero, - # - capacity part is the domain separator. + # - capacity part (domain separator) at the beginning, + # - rate part (zero) follows. + cap_len = len(capacity_value) state = [Fp(value=0)] * width - state[rate:] = capacity_value + state[:cap_len] = capacity_value # Create the engine once for efficiency. engine = Poseidon1(params) - # Absorb the input in rate-sized chunks. + # Absorb the input in rate-sized chunks via replacement. for i in range(0, len(padded_input), rate): chunk = padded_input[i : i + rate] - # Add the chunk to the rate part of the state. + # Replace the rate part of the state with the chunk. for j in range(rate): - state[j] += chunk[j] + state[cap_len + j] = chunk[j] # Apply the cryptographic permutation to mix the state. state = engine.permute(state) # Squeeze the output until enough elements have been generated. output: list[Fp] = [] while len(output) < output_len: - # Extract the rate part of the state as output. - output.extend(state[:rate]) + # Extract the rate part of the state (after capacity) as output. + output.extend(state[cap_len : cap_len + rate]) # Permute the state. state = engine.permute(state) diff --git a/src/lean_spec/subspecs/xmss/tweak_hash.py b/src/lean_spec/subspecs/xmss/tweak_hash.py index 60717190..95e7e051 100644 --- a/src/lean_spec/subspecs/xmss/tweak_hash.py +++ b/src/lean_spec/subspecs/xmss/tweak_hash.py @@ -180,7 +180,7 @@ def apply( # Case 1: Hashing a single digest (used in hash chains). # # We use the efficient width-16 compression mode. - input_vec = parameter.elements + encoded_tweak + message_parts[0].elements + input_vec = message_parts[0].elements + parameter.elements + encoded_tweak result = self.poseidon.compress(input_vec, 16, config.HASH_LEN_FE) elif len(message_parts) == 2: