| /* Copyright lowRISC contributors. */ |
| /* Licensed under the Apache License, Version 2.0, see LICENSE for details. */ |
| /* SPDX-License-Identifier: Apache-2.0 */ |
| |
| |
| .section .text.start |
| |
| /** |
| * Standalone RSA 1024 encrypt |
| * |
| * Uses OTBN modexp bignum lib to encrypt the message from the .data segment |
| * in this file with the public key consisting of e=65537 and modulus from |
| * .data segment in this file. |
| * |
| * Copies the encrypted message to wide registers for comparison (starting at |
| * w0). See comment at the end of the file for expected values. |
| */ |
| run_rsa_verify: |
| jal x1, modexp_var |
| /* pointer to out buffer */ |
| lw x21, 28(x0) |
| |
| /* copy all limbs of result to wide reg file */ |
| li x8, 0 |
| loop x30, 2 |
| bn.lid x8, 0(x21++) |
| addi x8, x8, 1 |
| |
| ecall |
| |
| |
| .data |
| |
| /* |
| * The words below are used by the code above, but the linker can't tell |
| * because we reference them by absolute address. Make a global symbol |
| * (cfg_data), which will refer to the whole lot and ensure that gc-sections |
| * doesn't discard them. |
| */ |
| .globl cfg_data |
| cfg_data: |
| |
| /* exponent of the exponent (e') (Full exponent is e=2^e'+1) */ |
| .word 0x00000010 |
| |
| /* number of limbs (N) */ |
| .word 0x0000000C |
| |
| /* pointer to m0' (dptr_m0d) */ |
| .word 0x00000280 |
| |
| /* pointer to RR (dptr_rr) */ |
| .word 0x000002c0 |
| |
| /* load pointer to modulus (dptr_m) */ |
| .word 0x00000080 |
| |
| /* pointer to base bignum buffer (dptr_in) */ |
| .word 0x000004c0 |
| |
| /* pointer to exponent buffer (dptr_exp, unused for encrypt) */ |
| .word 0x000006c0 |
| |
| /* pointer to out buffer (dptr_out) */ |
| .word 0x000008c0 |
| |
| /* Modulus */ |
| .org 0x80 |
| .word 0x6a6a75e1 |
| .word 0xa018ddc5 |
| .word 0x687bb168 |
| .word 0x8e8205a5 |
| .word 0x7dbfffa7 |
| .word 0xc8722ac5 |
| .word 0xf84d21cf |
| .word 0xe1312531 |
| .word 0x0ce3f8a3 |
| .word 0xa825f988 |
| .word 0x57f51964 |
| .word 0xb27e206a |
| .word 0x8e1dd008 |
| .word 0x1c4fb8d7 |
| .word 0x824fb142 |
| .word 0x1c8be7b3 |
| .word 0x7b9d6366 |
| .word 0xc56ad0f2 |
| .word 0xef762d5b |
| .word 0x4b1431e3 |
| .word 0x8ae28eb9 |
| .word 0xd41db7aa |
| .word 0x43cccdf7 |
| .word 0x91b74a84 |
| .word 0x80183850 |
| .word 0x30e74d0d |
| .word 0xb62ed015 |
| .word 0x235574d2 |
| .word 0x8c28f251 |
| .word 0x4f40def2 |
| .word 0x24e2efdb |
| .word 0x9ebd1ff2 |
| .word 0xfa7b49ee |
| .word 0x2819a938 |
| .word 0x6e66b8c8 |
| .word 0x24e41546 |
| .word 0x4d783a7c |
| .word 0xd2947d3d |
| .word 0x1ab269e9 |
| .word 0xfad39f16 |
| .word 0xaab78f7b |
| .word 0x49d8b510 |
| .word 0x35bf0dfb |
| .word 0xeb274754 |
| .word 0x069eccc9 |
| .word 0xc13c437e |
| .word 0xe3bc0f60 |
| .word 0xc9e0e12f |
| .word 0xc253ac43 |
| .word 0x89c240e0 |
| .word 0xc4aba4e5 |
| .word 0xedf34bc0 |
| .word 0x5402c462 |
| .word 0x4021b0bd |
| .word 0x996b6241 |
| .word 0xc3d9945f |
| .word 0xa137ac60 |
| .word 0xf0250bf5 |
| .word 0xc8c7100f |
| .word 0xb70d6b88 |
| .word 0x78916a8c |
| .word 0x33370e5d |
| .word 0x3970dcb9 |
| .word 0xaf4c58b4 |
| .word 0x5f78cb0d |
| .word 0xb02d90b7 |
| .word 0xeb6c3d05 |
| .word 0x04afc71a |
| .word 0x45185f0f |
| .word 0x987caa5b |
| .word 0x33976249 |
| .word 0x565afdbc |
| .word 0x80a85056 |
| .word 0x59e07655 |
| .word 0x9a29e77d |
| .word 0x7a8dfb7f |
| .word 0x782e0204 |
| .word 0x4d6713ff |
| .word 0x131000ea |
| .word 0xe18e1206 |
| .word 0x21f57f30 |
| .word 0xf24f038b |
| .word 0x59cf874d |
| .word 0x24c50525 |
| .word 0xb52f170d |
| .word 0x46c9adde |
| .word 0x90e82c73 |
| .word 0x1344ceaf |
| .word 0x663209f2 |
| .word 0x24bd4fbf |
| .word 0x5e4ed04d |
| .word 0x0fce770a |
| .word 0x81f78793 |
| .word 0xa792e13e |
| .word 0xa6c7bf58 |
| .word 0xe1df9be8 |
| |
| /* Montgomery constant m0' */ |
| .org 0x280 |
| .word 0xf09b71df |
| .word 0xfd3e34f7 |
| .word 0x0b908e3b |
| .word 0x95d310b2 |
| .word 0x49659950 |
| .word 0xa96ced37 |
| .word 0x711cad8b |
| .word 0x1dfc9779 |
| .word 0xcdf1cc06 |
| .word 0x12e25f1f |
| .word 0x8f25ef95 |
| .word 0xc90a2582 |
| .word 0xbda827cf |
| .word 0x1406fb58 |
| .word 0xadf07cd1 |
| .word 0x7da9803a |
| |
| /* Squared Mongomery Radix RR = (2^3072)^2 mod N */ |
| .org 0x2c0 |
| .word 0xa3eb77fa |
| .word 0x9db9a2ac |
| .word 0x2c19d4ae |
| .word 0xfb5be1e7 |
| .word 0xdd38f5fb |
| .word 0xd0f4fdda |
| .word 0xeb165cd3 |
| .word 0x546a7cfe |
| .word 0xcd410c5c |
| .word 0x73f5cf6b |
| .word 0x1185bcae |
| .word 0xda2e2103 |
| .word 0xbab5ae26 |
| .word 0x76e77aba |
| .word 0xf49dd5f7 |
| .word 0x32318a29 |
| .word 0x689a85bc |
| .word 0x8aa862a9 |
| .word 0x538c240e |
| .word 0xb61eab77 |
| .word 0x9ccd73f2 |
| .word 0x6563c81a |
| .word 0x6c65ac0e |
| .word 0x90b209bf |
| .word 0xe642e25e |
| .word 0x7e351549 |
| .word 0x879a1830 |
| .word 0xc75cbb02 |
| .word 0xe0112362 |
| .word 0xebc2405f |
| .word 0x01dc7990 |
| .word 0x3d3d07f3 |
| .word 0xc5b9a5be |
| .word 0x98d8cc33 |
| .word 0xdd65e108 |
| .word 0xce301343 |
| .word 0x0dbdc0cb |
| .word 0xc204b9ca |
| .word 0xeabe1810 |
| .word 0x9849163a |
| .word 0x234c8ff7 |
| .word 0x9bc14e3b |
| .word 0x4b4c2226 |
| .word 0x079883be |
| .word 0xba59c5f5 |
| .word 0xd9c77317 |
| .word 0x1ce689f5 |
| .word 0x05f49af5 |
| .word 0x7a83d42a |
| .word 0xc509b5ca |
| .word 0x0811a95f |
| .word 0x093520a2 |
| .word 0x73649941 |
| .word 0xd9691ef5 |
| .word 0x6878ec0d |
| .word 0x4043add6 |
| .word 0x7516d8b7 |
| .word 0x5c7070ff |
| .word 0x4ce52e1d |
| .word 0xf209e123 |
| .word 0xfe4319c4 |
| .word 0x9774620a |
| .word 0x7a58d047 |
| .word 0x524b09b7 |
| .word 0x96cbf044 |
| .word 0x2a9044a2 |
| .word 0x514995dc |
| .word 0xe4b83ed6 |
| .word 0xd21be300 |
| .word 0x2966d4f8 |
| .word 0xd9ee19c4 |
| .word 0xb60788f6 |
| .word 0xf8d074ab |
| .word 0xa7e13295 |
| .word 0x93718edc |
| .word 0xba9fc096 |
| .word 0x0ad2fbbc |
| .word 0x9fe0c363 |
| .word 0x472a10b4 |
| .word 0xda9c946b |
| .word 0x37276997 |
| .word 0x04e452fc |
| .word 0xd19233b5 |
| .word 0xa277ef0e |
| .word 0x49619ddd |
| .word 0xb5822d56 |
| .word 0x6ca4d02f |
| .word 0x7d0c0fc3 |
| .word 0xa29196e2 |
| .word 0xb6988a4f |
| .word 0x785b7552 |
| .word 0xeaee3c24 |
| .word 0x87993424 |
| .word 0xfcb49693 |
| .word 0x21e64d84 |
| .word 0x9e2dcea8 |
| |
| /* signature */ |
| .org 0x4c0 |
| .word 0xceb7e983 |
| .word 0xe693b200 |
| .word 0xf9153989 |
| .word 0xcf899599 |
| .word 0x1ec09fae |
| .word 0xf2f88007 |
| .word 0x2a24eed5 |
| .word 0x9c5b7c4e |
| .word 0x21a153b2 |
| .word 0xaf7583ae |
| .word 0x04fdd694 |
| .word 0x7550094b |
| .word 0xb2a69ac4 |
| .word 0xe49d8022 |
| .word 0x7ed6f162 |
| .word 0x14bb3a1b |
| .word 0xbb29d8dd |
| .word 0x5c5815c2 |
| .word 0x7a80d848 |
| .word 0xb122f449 |
| .word 0x59dca808 |
| .word 0xbc1443e2 |
| .word 0xe304ff93 |
| .word 0xcc97ee4b |
| .word 0x42ef6b57 |
| .word 0x1436839f |
| .word 0xae860b45 |
| .word 0x6a843a17 |
| .word 0x2381fb91 |
| .word 0x09fd0635 |
| .word 0xa431aac3 |
| .word 0xd7220269 |
| .word 0xdf3e2697 |
| .word 0x35e2915e |
| .word 0xedba6956 |
| .word 0x1d387448 |
| .word 0x930006df |
| .word 0x961e5f00 |
| .word 0xf2a7e960 |
| .word 0x884e4add |
| .word 0x7dfe76b1 |
| .word 0x4079aa79 |
| .word 0x1f3a378d |
| .word 0x96c20697 |
| .word 0x268aea57 |
| .word 0x2c8569a4 |
| .word 0x0474f512 |
| .word 0x2388555c |
| .word 0x58679953 |
| .word 0xe73da3a0 |
| .word 0x43431b9a |
| .word 0x699f04d3 |
| .word 0xfc0be066 |
| .word 0xcce606f2 |
| .word 0xd94cdfa0 |
| .word 0x6c1ddca3 |
| .word 0xe96c11f6 |
| .word 0xfc635db4 |
| .word 0x3bdb4f69 |
| .word 0xa621c3e7 |
| .word 0x9f292111 |
| .word 0xb86e1e6b |
| .word 0xb74f923b |
| .word 0x592967a0 |
| .word 0xc412097f |
| .word 0x8c1c8ca7 |
| .word 0x494fcdb6 |
| .word 0x87c5fe0f |
| .word 0x50c01aee |
| .word 0x8a26368e |
| .word 0xeaf12232 |
| .word 0x7dade4d8 |
| .word 0x39eb2ac6 |
| .word 0x744f8aaa |
| .word 0xf34908ca |
| .word 0x1e0c656c |
| .word 0xe96d4e29 |
| .word 0x8575d194 |
| .word 0xe439bd31 |
| .word 0xa74a77e3 |
| .word 0x0f465b88 |
| .word 0xf4e21152 |
| .word 0x80400ad8 |
| .word 0xe58501ec |
| .word 0xa29d7536 |
| .word 0x55c19326 |
| .word 0x9ebbc63e |
| .word 0x20c75aee |
| .word 0xef6783d7 |
| .word 0x59ffdba5 |
| .word 0x879b937b |
| .word 0x43a5c74c |
| .word 0x82b8f825 |
| .word 0xfdf04b3a |
| .word 0x8fc62fbe |
| .word 0x114e6da5 |
| |
| |
| /* Full key for reference: |
| modulus n = 0xe1df9be8a6c7bf58a792e13e81f787930fce770a5e4ed04d24bd4fbf663209f21344ceaf90e82c7346c9addeb52f170d24c5052559cf874df24f038b21f57f30e18e1206131000ea4d6713ff782e02047a8dfb7f9a29e77d59e0765580a85056565afdbc33976249987caa5b45185f0f04afc71aeb6c3d05b02d90b75f78cb0daf4c58b43970dcb933370e5d78916a8cb70d6b88c8c7100ff0250bf5a137ac60c3d9945f996b62414021b0bd5402c462edf34bc0c4aba4e589c240e0c253ac43c9e0e12fe3bc0f60c13c437e069eccc9eb27475435bf0dfb49d8b510aab78f7bfad39f161ab269e9d2947d3d4d783a7c24e415466e66b8c82819a938fa7b49ee9ebd1ff224e2efdb4f40def28c28f251235574d2b62ed01530e74d0d8018385091b74a8443cccdf7d41db7aa8ae28eb94b1431e3ef762d5bc56ad0f27b9d63661c8be7b3824fb1421c4fb8d78e1dd008b27e206a57f51964a825f9880ce3f8a3e1312531f84d21cfc8722ac57dbfffa78e8205a5687bb168a018ddc56a6a75e1 |
| private exponent d = 0x6041730707bffad6947efef72cdaa80f6f3e7cb351f2434984bd1a5585ff1006f5d82e3e5a41dee37748ae0c48e91ae93280b58b2fc545335dedf7241d222a045232c1928e20154bc41587cba852eef02aac03ffe25a3638d08adbd2df239b2cd7db29e34097243f19b912be176965e51809b28f51c14c15f6f8cc01a1317052d21ff67343414a06b081276184e66f622d060e8bf987ff5bd36a6e38cc6dd5cb5cdb05a461d485c829c4d1b5352e82b36814f4f4debb08e7fab769ff7e40bb19514af9168c9b773570c58f2c3e177edfe43d4e29ae72329a25d7da234ce73407d2619e5072dffbec1d9601446417d968de1e8772ce4b46fd5224cc0a6ddc889aedec8247de9a6b93f166df6981c487dc111b4eb0ec7bc15782db65570158da4523eab41c7455bd70c72a52e015a7cba482581bed16fef89213158c94f15592482069a742973b55372ced7d20dc9312980ce4696fa4d5715098c927fc12ab013af8df4b83869ef22b53c176f4a83b89cab93ce7f6e619ae0c59d7e511bebf06e3 |
| public exponent e = 65537 |
| squared Montgomery radix RR = 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 |
| Montgomery constant d0inv = 0x98a44f84397e684144214c83228ab43e1972189cbba34b5a4edbef91d022772d589d52b3b503299cf32a0c7b9aa9f8ed9c9c366b607da6fdb89991c29ccb146c2a85b6f413e358be5d5dc40e0aa492340f1f6d2a6eb015203f7b91bfe789377dfeed5e6ba3ea7bb2efeb980bce2895730b4b884748224db64040f5917fab212b3e8a289c370861d6760493e5323d6bf82669e60cd77df7f292c7833225f0b060359d1271ff80f3647dd87f7c876d545bdd643fd577de4ec7c80fe2308ecbd78cdaabc95e174c58c3b93cabc138c679a617c756ff3fb6fca8d912be11297cf059830b54188eb1161e1a7476270a3514789414cf662c4e04da7672f3ea877446b2996af70106f38a77aafcc273ff441e5f0fc30d8cef33be30b15cfe44727c0936dc64262c4c771d236ad834fefc6f3228def492fa69ece22f8cdd6115f0a5133e7da9803aadf07cd11406fb58bda827cfc90a25828f25ef9512e25f1fcdf1cc061dfc9779711cad8ba96ced374965995095d310b20b908e3bfd3e34f7f09b71df |
| */ |
| |
| /* Expected recovered message in regfile: |
| w0 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| w1 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| w2 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| w3 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| w4 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| w5 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| w6 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| w7 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| w8 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| w9 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| w10 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| w11 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| w12 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| w13 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| w14 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| w15 = 0x5555555555555555555555555555555555555555555555555555555555555555 |
| */ |
