| 1 | # Test vectors for Barrett modular reduction |
| 2 | |
| 3 | mpbarrett-reduce { |
| 4 | 17 11 6; |
| 5 | -17 11 5; |
| 6 | |
| 7 | 0x8ab316d0d1a2e88535cf77c1172881ead70d592c59e9c5fbc16e4b0c4dc49481 |
| 8 | 0x18ca3bf7ee3c6d7bab3f144b015ccc6c25472843d346b461 |
| 9 | 0x02c1815029b766b96ad4507dc1af8151307961c6d161d065; |
| 10 | |
| 11 | 0x8117d1663ee63341eb8faeff304549f0f8b32d587acc2fd5597ea6a31625881d |
| 12 | 0xdc85df77dfb61876805623bcbed325b99d00c2cd65c252c879 |
| 13 | 0x395da02e8a6c66476467c4e04f328d8208cc411e3d1e96e14c; |
| 14 | |
| 15 | 0x63791966f2ad44a6df11bcc87c6b7c2400c74e69f7e3ca02fcac12b3bf56238b |
| 16 | 0xa49e473b8f7539d89cdb002d73182558773eec10db93cc6049d8c5533e |
| 17 | 0x65caf6833baa118b53c7bdc44a831605ca382b5993beead59f3971d13f; |
| 18 | |
| 19 | 0x9ca438db3e0f79305987292e8ec6174e6c313f7904ebb35a349a700e3ae63a37 |
| 20 | 0xb24c93d499c7073b8f7aac718c1f12da1a8fc8bccdd47b49 |
| 21 | 0x46393cb15e38cbbc8a85698151a113f28081b4c8f6ed232e; |
| 22 | |
| 23 | 0x8214fd17858a4a913015412b5331eb9654faeb5156a674b1e5f6550a68957146 |
| 24 | 0xc4f0ebaad6c0ee0111c57667ea8e0a254f3068f212949e20ededa89a7da6 |
| 25 | 0x3fde916ba21d19414d4316041420ca59d8b01aa2acf3f3ef106245c1915c; |
| 26 | |
| 27 | 0x367aa8f5ba9ac4e8e2ea198b8af2c3b3081deab392ffc05715783b245a62a6fa |
| 28 | 0x72e2c37447f8bca34c4a39b130ea8e5c9a7d8b54564aa88ea773 |
| 29 | 0x08e8c03ebf398c63d71d8fd7ca4ece12367a8dde180ca650afb6; |
| 30 | |
| 31 | 0xae2d84438ac6643fc601c1634351aa75b284fecbbe5faf3a132be9dd1a326e6c |
| 32 | 0xc33c890f030644d88cc65f8ccf99c625c9b9fa21d4eb153e52ef89df54130855 |
| 33 | 0xae2d84438ac6643fc601c1634351aa75b284fecbbe5faf3a132be9dd1a326e6c; |
| 34 | |
| 35 | 0x65901dcdad8dd0625d4d158f99b666fee10480d1df15e3bdac640584b9b746bc |
| 36 | 0xd8a1d326fee87d55f39f15b5b2cfe71f5146083928 |
| 37 | 0x859c41164983547c03134b99530e25a0f874315964; |
| 38 | |
| 39 | -0x65901dcdad8dd0625d4d158f99b666fee10480d1df15e3bdac640584b9b746bc |
| 40 | 0xd8a1d326fee87d55f39f15b5b2cfe71f5146083928 |
| 41 | 0x53059210b56528d9f08bca1c5fc1c17e58d1d6dfc4; |
| 42 | } |
| 43 | |
| 44 | mpbarrett-exp { |
| 45 | 4325987397987458979875737589783 |
| 46 | 435365332435654643667 |
| 47 | 8745435676786567758678547 |
| 48 | 2439674515119108242643169132064; |
| 49 | |
| 50 | 8939489893434234331 1804289383 454353454354565 6139425926295484741; |
| 51 | 8939489893434234331 1804289383 8939489893434234330 1; |
| 52 | |
| 53 | # --- Negative exponents --- |
| 54 | |
| 55 | 0xfffffffdffffffffffffffffffffffff 0xfffffffdfffffffffffffffffffffffe 0 1; |
| 56 | 8939489893434234331 1804289383 -8939035539979879765 6139425926295484741; |
| 57 | |
| 58 | # --- DSA public key derivation --- |
| 59 | |
| 60 | 0xc9c7feaeaedb16505389c5582df1858d0fdb3eecfe61c230d612661bef8c1bc5 |
| 61 | 0x5cd41fc97d0db5322bab7d659354db2ed9f88e39d2c6fae9f29acab5a522131e |
| 62 | 0x1234 |
| 63 | 0x51812af9600c89ffe0f73902eb09015c03b4e0fbf6ccf073931c12f9aad1fb47; |
| 64 | |
| 65 | 0xdde5808744e1cd37c88667e7033694b2513a7429f035f11c0bafc4dff2b96a672bd0a3ca16aba2ea526df00c8571106ba4a1d83eb62605fc9274ab70bef0a111cd070cca2d8b10edf042d6c44f863c36fabea8bb0d7340eb8c169da27a4b0ba2713c166152a0244235093391c5f71aee8c03dcaf2335a2e4689ccb27ba365ec7 |
| 66 | 0x65985e4c2d6027a8afdeb9b44cc619e1c4d46bde873e0d4b45325412a2f8365e51245324f888704295fe8233a6666624d9a4701172dbfcab5c9643e1caab79eb2a0c85284d1b858688b8f16804326321f53a723502a6d6ae08dcbffccf2187a799f6281c2478ef0faed5c5c80adeabc5ee435cff8b9ae0b603e47fb08d73b014 |
| 67 | 0x23a252f60bae4907a8ed5b6203e2b1da32848cd9 |
| 68 | 0x9720498d8ec1208585635faaf952c1204c37119acccc64ed7942867be24770e33db39ffcfa1194549ead8495a7918a20e15144e68125860ef4f8c1a3d771bad690938bdb2c8817e2b89a8fc615d067084a7a2f2f9280e15fb9ccebfe713584260d5ed30545b69745d7b22977bfd44d60d7c5e657aab1c79dc5cb33ff29ee9074; |
| 69 | |
| 70 | # --- Quick RSA test --- |
| 71 | |
| 72 | 905609324890967090294090970600361 # This is p |
| 73 | 3 |
| 74 | 905609324890967090294090970600360 # This is (p - 1) |
| 75 | 1; # Fermat test: p is prime |
| 76 | |
| 77 | 734589569806680985408670989082927 # This is q |
| 78 | 5 |
| 79 | 734589569806680985408670989082926 # And this is (q - 1) |
| 80 | 1; # Fermat again: q is prime |
| 81 | |
| 82 | # --- Encrypt a message --- |
| 83 | # |
| 84 | # The public and private exponents are from the GCD test. The message |
| 85 | # is just obvious. The modulus is the product of the two primes above. |
| 86 | |
| 87 | 665251164384574309450646977867045404520085938543622535546005136647 |
| 88 | 123456789012345678901234567890123456789012345678901234567890 |
| 89 | 5945908509680983480596809586040589085680968709809890671 |
| 90 | 25906467774034212974484417859588980567136610347807401817990462701; |
| 91 | |
| 92 | # --- And decrypt it again --- |
| 93 | |
| 94 | 665251164384574309450646977867045404520085938543622535546005136647 |
| 95 | 25906467774034212974484417859588980567136610347807401817990462701 |
| 96 | 514778499400157641662814932021958856708417966520837469125919104431 |
| 97 | 123456789012345678901234567890123456789012345678901234567890; |
| 98 | |
| 99 | # --- Strange bug --- |
| 100 | # |
| 101 | # Strange memory corruption bug causing mpbarrett_reduce to hang. |
| 102 | # Seems to have vanished on a clean rebuild so maybe this was just build |
| 103 | # fluff or something. Leave it here to pick up regression. |
| 104 | |
| 105 | 30916300184138066757562815127455898754391418637651479989257882011612153138316483396290143656363307389355307404813205623380378799585065876990874918745873480056891738964426752 |
| 106 | 2 44329 |
| 107 | 10975270953088118598390528358454369816072092233138947812823085741431681835772475760228604878294514156761050649439713085882651077696501584961485141097470430535290622475239424; |
| 108 | } |
| 109 | |
| 110 | # --- Simultaneous exponentiation --- |
| 111 | |
| 112 | mexp-1 { |
| 113 | 4325987397987458979875737589783 |
| 114 | 435365332435654643667 |
| 115 | 8745435676786567758678547 |
| 116 | 2439674515119108242643169132064; |
| 117 | } |
| 118 | |
| 119 | mexp-2 { |
| 120 | 0x8df2a494492276aa3d25759bb06869cbeac0d83afb8d0cf7cbb8324f0d7882e5d0762fc5b7210eafc2e9adac32ab7aac49693dfbf83724c2ec0736ee31c80291 |
| 121 | 0x626d027839ea0a13413163a55b4cb500299d5522956cefcb3bff10f399ce2c2e71cb9de5fa24babf58e5b79521925c9cc42e9f6f464b088cc572af53e6d78802 |
| 122 | 0xbf655bd046f0b35ec791b004804afcbb8ef7d69d |
| 123 | 0x19131871d75b1612a819f29d78d1b0d7346f7aa77bb62a859bfd6c5675da9d212d3a36ef1672ef660b8c7c255cc0ec74858fba33f44c06699630a76b030ee333 |
| 124 | 0x821a926312e97adeabcc8d082b5278978a2df4b0 |
| 125 | 0x2fc6cb9ac3be0eac3daf02eefb96fca3846708a28dd05730165fe50942f7f07edfef8e52fcb9369e3814aa24607e80475d0e61ad461d6b16b6cec5baae58946e; |
| 126 | |
| 127 | 0x8df2a494492276aa3d25759bb06869cbeac0d83afb8d0cf7cbb8324f0d7882e5d0762fc5b7210eafc2e9adac32ab7aac49693dfbf83724c2ec0736ee31c80291 |
| 128 | 0x626d027839ea0a13413163a55b4cb500299d5522956cefcb3bff10f399ce2c2e71cb9de5fa24babf58e5b79521925c9cc42e9f6f464b088cc572af53e6d78802 |
| 129 | 0xbf655bd046f0b35ec791b004804afcbb8ef7d69d |
| 130 | 0x19131871d75b1612a819f29d78d1b0d7346f7aa77bb62a859bfd6c5675da9d212d3a36ef1672ef660b8c7c255cc0ec74858fba33f44c06699630a76b030ee333 |
| 131 | -0x8df2a494492276aa3d25759bb06869cbeac0d83afb8d0cf7cbb8324f0d7882e5d0762fc5b7210eafc2e9adabb090e849367fc31d4c6a97bac0b4be56a79a0de0 |
| 132 | 0x2fc6cb9ac3be0eac3daf02eefb96fca3846708a28dd05730165fe50942f7f07edfef8e52fcb9369e3814aa24607e80475d0e61ad461d6b16b6cec5baae58946e; |
| 133 | } |