# Test vectors for Barrett modular reduction # # $Id$ mpbarrett-reduce { 17 11 6; -17 11 5; 0x8ab316d0d1a2e88535cf77c1172881ead70d592c59e9c5fbc16e4b0c4dc49481 0x18ca3bf7ee3c6d7bab3f144b015ccc6c25472843d346b461 0x02c1815029b766b96ad4507dc1af8151307961c6d161d065; 0x8117d1663ee63341eb8faeff304549f0f8b32d587acc2fd5597ea6a31625881d 0xdc85df77dfb61876805623bcbed325b99d00c2cd65c252c879 0x395da02e8a6c66476467c4e04f328d8208cc411e3d1e96e14c; 0x63791966f2ad44a6df11bcc87c6b7c2400c74e69f7e3ca02fcac12b3bf56238b 0xa49e473b8f7539d89cdb002d73182558773eec10db93cc6049d8c5533e 0x65caf6833baa118b53c7bdc44a831605ca382b5993beead59f3971d13f; 0x9ca438db3e0f79305987292e8ec6174e6c313f7904ebb35a349a700e3ae63a37 0xb24c93d499c7073b8f7aac718c1f12da1a8fc8bccdd47b49 0x46393cb15e38cbbc8a85698151a113f28081b4c8f6ed232e; 0x8214fd17858a4a913015412b5331eb9654faeb5156a674b1e5f6550a68957146 0xc4f0ebaad6c0ee0111c57667ea8e0a254f3068f212949e20ededa89a7da6 0x3fde916ba21d19414d4316041420ca59d8b01aa2acf3f3ef106245c1915c; 0x367aa8f5ba9ac4e8e2ea198b8af2c3b3081deab392ffc05715783b245a62a6fa 0x72e2c37447f8bca34c4a39b130ea8e5c9a7d8b54564aa88ea773 0x08e8c03ebf398c63d71d8fd7ca4ece12367a8dde180ca650afb6; 0xae2d84438ac6643fc601c1634351aa75b284fecbbe5faf3a132be9dd1a326e6c 0xc33c890f030644d88cc65f8ccf99c625c9b9fa21d4eb153e52ef89df54130855 0xae2d84438ac6643fc601c1634351aa75b284fecbbe5faf3a132be9dd1a326e6c; 0x65901dcdad8dd0625d4d158f99b666fee10480d1df15e3bdac640584b9b746bc 0xd8a1d326fee87d55f39f15b5b2cfe71f5146083928 0x859c41164983547c03134b99530e25a0f874315964; -0x65901dcdad8dd0625d4d158f99b666fee10480d1df15e3bdac640584b9b746bc 0xd8a1d326fee87d55f39f15b5b2cfe71f5146083928 0x53059210b56528d9f08bca1c5fc1c17e58d1d6dfc4; } mpbarrett-exp { 4325987397987458979875737589783 435365332435654643667 8745435676786567758678547 2439674515119108242643169132064; 8939489893434234331 1804289383 454353454354565 6139425926295484741; 8939489893434234331 1804289383 8939489893434234330 1; # --- Negative exponents --- 0xfffffffdffffffffffffffffffffffff 0xfffffffdfffffffffffffffffffffffe 0 1; 8939489893434234331 1804289383 -8939035539979879765 6139425926295484741; # --- DSA public key derivation --- 0xc9c7feaeaedb16505389c5582df1858d0fdb3eecfe61c230d612661bef8c1bc5 0x5cd41fc97d0db5322bab7d659354db2ed9f88e39d2c6fae9f29acab5a522131e 0x1234 0x51812af9600c89ffe0f73902eb09015c03b4e0fbf6ccf073931c12f9aad1fb47; 0xdde5808744e1cd37c88667e7033694b2513a7429f035f11c0bafc4dff2b96a672bd0a3ca16aba2ea526df00c8571106ba4a1d83eb62605fc9274ab70bef0a111cd070cca2d8b10edf042d6c44f863c36fabea8bb0d7340eb8c169da27a4b0ba2713c166152a0244235093391c5f71aee8c03dcaf2335a2e4689ccb27ba365ec7 0x65985e4c2d6027a8afdeb9b44cc619e1c4d46bde873e0d4b45325412a2f8365e51245324f888704295fe8233a6666624d9a4701172dbfcab5c9643e1caab79eb2a0c85284d1b858688b8f16804326321f53a723502a6d6ae08dcbffccf2187a799f6281c2478ef0faed5c5c80adeabc5ee435cff8b9ae0b603e47fb08d73b014 0x23a252f60bae4907a8ed5b6203e2b1da32848cd9 0x9720498d8ec1208585635faaf952c1204c37119acccc64ed7942867be24770e33db39ffcfa1194549ead8495a7918a20e15144e68125860ef4f8c1a3d771bad690938bdb2c8817e2b89a8fc615d067084a7a2f2f9280e15fb9ccebfe713584260d5ed30545b69745d7b22977bfd44d60d7c5e657aab1c79dc5cb33ff29ee9074; # --- Quick RSA test --- 905609324890967090294090970600361 # This is p 3 905609324890967090294090970600360 # This is (p - 1) 1; # Fermat test: p is prime 734589569806680985408670989082927 # This is q 5 734589569806680985408670989082926 # And this is (q - 1) 1; # Fermat again: q is prime # --- Encrypt a message --- # # The public and private exponents are from the GCD test. The message # is just obvious. The modulus is the product of the two primes above. 665251164384574309450646977867045404520085938543622535546005136647 123456789012345678901234567890123456789012345678901234567890 5945908509680983480596809586040589085680968709809890671 25906467774034212974484417859588980567136610347807401817990462701; # --- And decrypt it again --- 665251164384574309450646977867045404520085938543622535546005136647 25906467774034212974484417859588980567136610347807401817990462701 514778499400157641662814932021958856708417966520837469125919104431 123456789012345678901234567890123456789012345678901234567890; # --- Strange bug --- # # Strange memory corruption bug causing mpbarrett_reduce to hang. # Seems to have vanished on a clean rebuild so maybe this was just build # fluff or something. Leave it here to pick up regression. 30916300184138066757562815127455898754391418637651479989257882011612153138316483396290143656363307389355307404813205623380378799585065876990874918745873480056891738964426752 2 44329 10975270953088118598390528358454369816072092233138947812823085741431681835772475760228604878294514156761050649439713085882651077696501584961485141097470430535290622475239424; } # --- Simultaneous exponentiation --- mexp-1 { 4325987397987458979875737589783 435365332435654643667 8745435676786567758678547 2439674515119108242643169132064; } mexp-2 { 0x8df2a494492276aa3d25759bb06869cbeac0d83afb8d0cf7cbb8324f0d7882e5d0762fc5b7210eafc2e9adac32ab7aac49693dfbf83724c2ec0736ee31c80291 0x626d027839ea0a13413163a55b4cb500299d5522956cefcb3bff10f399ce2c2e71cb9de5fa24babf58e5b79521925c9cc42e9f6f464b088cc572af53e6d78802 0xbf655bd046f0b35ec791b004804afcbb8ef7d69d 0x19131871d75b1612a819f29d78d1b0d7346f7aa77bb62a859bfd6c5675da9d212d3a36ef1672ef660b8c7c255cc0ec74858fba33f44c06699630a76b030ee333 0x821a926312e97adeabcc8d082b5278978a2df4b0 0x2fc6cb9ac3be0eac3daf02eefb96fca3846708a28dd05730165fe50942f7f07edfef8e52fcb9369e3814aa24607e80475d0e61ad461d6b16b6cec5baae58946e; 0x8df2a494492276aa3d25759bb06869cbeac0d83afb8d0cf7cbb8324f0d7882e5d0762fc5b7210eafc2e9adac32ab7aac49693dfbf83724c2ec0736ee31c80291 0x626d027839ea0a13413163a55b4cb500299d5522956cefcb3bff10f399ce2c2e71cb9de5fa24babf58e5b79521925c9cc42e9f6f464b088cc572af53e6d78802 0xbf655bd046f0b35ec791b004804afcbb8ef7d69d 0x19131871d75b1612a819f29d78d1b0d7346f7aa77bb62a859bfd6c5675da9d212d3a36ef1672ef660b8c7c255cc0ec74858fba33f44c06699630a76b030ee333 -0x8df2a494492276aa3d25759bb06869cbeac0d83afb8d0cf7cbb8324f0d7882e5d0762fc5b7210eafc2e9adabb090e849367fc31d4c6a97bac0b4be56a79a0de0 0x2fc6cb9ac3be0eac3daf02eefb96fca3846708a28dd05730165fe50942f7f07edfef8e52fcb9369e3814aa24607e80475d0e61ad461d6b16b6cec5baae58946e; }