blob: ef9e305e943b26f784e01ed87396686b8eb375d1 [file] [log] [blame]
 // Copyright (c) 2012 The Chromium Authors. All rights reserved. // Use of this source code is governed by a BSD-style license that can be // found in the LICENSE file. #include #include #include "crypto/p224.h" #include "testing/gtest/include/gtest/gtest.h" namespace crypto { using p224::Point; // kBasePointExternal is the P224 base point in external representation. static const uint8 kBasePointExternal[56] = { 0xb7, 0x0e, 0x0c, 0xbd, 0x6b, 0xb4, 0xbf, 0x7f, 0x32, 0x13, 0x90, 0xb9, 0x4a, 0x03, 0xc1, 0xd3, 0x56, 0xc2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xd6, 0x11, 0x5c, 0x1d, 0x21, 0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22, 0xdf, 0xe6, 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64, 0x44, 0xd5, 0x81, 0x99, 0x85, 0x00, 0x7e, 0x34, }; // TestVector represents a test of scalar multiplication of the base point. // |scalar| is a big-endian scalar and |affine| is the external representation // of g*scalar. struct TestVector { uint8 scalar[28]; uint8 affine[28*2]; }; static const int kNumNISTTestVectors = 52; // kNISTTestVectors are the NIST test vectors for P224. static const TestVector kNISTTestVectors[kNumNISTTestVectors] = { { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01}, {0xb7, 0x0e, 0x0c, 0xbd, 0x6b, 0xb4, 0xbf, 0x7f, 0x32, 0x13, 0x90, 0xb9, 0x4a, 0x03, 0xc1, 0xd3, 0x56, 0xc2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xd6, 0x11, 0x5c, 0x1d, 0x21, 0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22, 0xdf, 0xe6, 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64, 0x44, 0xd5, 0x81, 0x99, 0x85, 0x00, 0x7e, 0x34 }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, }, {0x70, 0x6a, 0x46, 0xdc, 0x76, 0xdc, 0xb7, 0x67, 0x98, 0xe6, 0x0e, 0x6d, 0x89, 0x47, 0x47, 0x88, 0xd1, 0x6d, 0xc1, 0x80, 0x32, 0xd2, 0x68, 0xfd, 0x1a, 0x70, 0x4f, 0xa6, 0x1c, 0x2b, 0x76, 0xa7, 0xbc, 0x25, 0xe7, 0x70, 0x2a, 0x70, 0x4f, 0xa9, 0x86, 0x89, 0x28, 0x49, 0xfc, 0xa6, 0x29, 0x48, 0x7a, 0xcf, 0x37, 0x09, 0xd2, 0xe4, 0xe8, 0xbb, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03, }, {0xdf, 0x1b, 0x1d, 0x66, 0xa5, 0x51, 0xd0, 0xd3, 0x1e, 0xff, 0x82, 0x25, 0x58, 0xb9, 0xd2, 0xcc, 0x75, 0xc2, 0x18, 0x02, 0x79, 0xfe, 0x0d, 0x08, 0xfd, 0x89, 0x6d, 0x04, 0xa3, 0xf7, 0xf0, 0x3c, 0xad, 0xd0, 0xbe, 0x44, 0x4c, 0x0a, 0xa5, 0x68, 0x30, 0x13, 0x0d, 0xdf, 0x77, 0xd3, 0x17, 0x34, 0x4e, 0x1a, 0xf3, 0x59, 0x19, 0x81, 0xa9, 0x25, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x04, }, {0xae, 0x99, 0xfe, 0xeb, 0xb5, 0xd2, 0x69, 0x45, 0xb5, 0x48, 0x92, 0x09, 0x2a, 0x8a, 0xee, 0x02, 0x91, 0x29, 0x30, 0xfa, 0x41, 0xcd, 0x11, 0x4e, 0x40, 0x44, 0x73, 0x01, 0x04, 0x82, 0x58, 0x0a, 0x0e, 0xc5, 0xbc, 0x47, 0xe8, 0x8b, 0xc8, 0xc3, 0x78, 0x63, 0x2c, 0xd1, 0x96, 0xcb, 0x3f, 0xa0, 0x58, 0xa7, 0x11, 0x4e, 0xb0, 0x30, 0x54, 0xc9, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x05, }, {0x31, 0xc4, 0x9a, 0xe7, 0x5b, 0xce, 0x78, 0x07, 0xcd, 0xff, 0x22, 0x05, 0x5d, 0x94, 0xee, 0x90, 0x21, 0xfe, 0xdb, 0xb5, 0xab, 0x51, 0xc5, 0x75, 0x26, 0xf0, 0x11, 0xaa, 0x27, 0xe8, 0xbf, 0xf1, 0x74, 0x56, 0x35, 0xec, 0x5b, 0xa0, 0xc9, 0xf1, 0xc2, 0xed, 0xe1, 0x54, 0x14, 0xc6, 0x50, 0x7d, 0x29, 0xff, 0xe3, 0x7e, 0x79, 0x0a, 0x07, 0x9b, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x06, }, {0x1f, 0x24, 0x83, 0xf8, 0x25, 0x72, 0x25, 0x1f, 0xca, 0x97, 0x5f, 0xea, 0x40, 0xdb, 0x82, 0x1d, 0xf8, 0xad, 0x82, 0xa3, 0xc0, 0x02, 0xee, 0x6c, 0x57, 0x11, 0x24, 0x08, 0x89, 0xfa, 0xf0, 0xcc, 0xb7, 0x50, 0xd9, 0x9b, 0x55, 0x3c, 0x57, 0x4f, 0xad, 0x7e, 0xcf, 0xb0, 0x43, 0x85, 0x86, 0xeb, 0x39, 0x52, 0xaf, 0x5b, 0x4b, 0x15, 0x3c, 0x7e, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x07, }, {0xdb, 0x2f, 0x6b, 0xe6, 0x30, 0xe2, 0x46, 0xa5, 0xcf, 0x7d, 0x99, 0xb8, 0x51, 0x94, 0xb1, 0x23, 0xd4, 0x87, 0xe2, 0xd4, 0x66, 0xb9, 0x4b, 0x24, 0xa0, 0x3c, 0x3e, 0x28, 0x0f, 0x3a, 0x30, 0x08, 0x54, 0x97, 0xf2, 0xf6, 0x11, 0xee, 0x25, 0x17, 0xb1, 0x63, 0xef, 0x8c, 0x53, 0xb7, 0x15, 0xd1, 0x8b, 0xb4, 0xe4, 0x80, 0x8d, 0x02, 0xb9, 0x63, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x08, }, {0x85, 0x8e, 0x6f, 0x9c, 0xc6, 0xc1, 0x2c, 0x31, 0xf5, 0xdf, 0x12, 0x4a, 0xa7, 0x77, 0x67, 0xb0, 0x5c, 0x8b, 0xc0, 0x21, 0xbd, 0x68, 0x3d, 0x2b, 0x55, 0x57, 0x15, 0x50, 0x04, 0x6d, 0xcd, 0x3e, 0xa5, 0xc4, 0x38, 0x98, 0xc5, 0xc5, 0xfc, 0x4f, 0xda, 0xc7, 0xdb, 0x39, 0xc2, 0xf0, 0x2e, 0xbe, 0xe4, 0xe3, 0x54, 0x1d, 0x1e, 0x78, 0x04, 0x7a, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x09, }, {0x2f, 0xdc, 0xcc, 0xfe, 0xe7, 0x20, 0xa7, 0x7e, 0xf6, 0xcb, 0x3b, 0xfb, 0xb4, 0x47, 0xf9, 0x38, 0x31, 0x17, 0xe3, 0xda, 0xa4, 0xa0, 0x7e, 0x36, 0xed, 0x15, 0xf7, 0x8d, 0x37, 0x17, 0x32, 0xe4, 0xf4, 0x1b, 0xf4, 0xf7, 0x88, 0x30, 0x35, 0xe6, 0xa7, 0x9f, 0xce, 0xdc, 0x0e, 0x19, 0x6e, 0xb0, 0x7b, 0x48, 0x17, 0x16, 0x97, 0x51, 0x74, 0x63, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0a, }, {0xae, 0xa9, 0xe1, 0x7a, 0x30, 0x65, 0x17, 0xeb, 0x89, 0x15, 0x2a, 0xa7, 0x09, 0x6d, 0x2c, 0x38, 0x1e, 0xc8, 0x13, 0xc5, 0x1a, 0xa8, 0x80, 0xe7, 0xbe, 0xe2, 0xc0, 0xfd, 0x39, 0xbb, 0x30, 0xea, 0xb3, 0x37, 0xe0, 0xa5, 0x21, 0xb6, 0xcb, 0xa1, 0xab, 0xe4, 0xb2, 0xb3, 0xa3, 0xe5, 0x24, 0xc1, 0x4a, 0x3f, 0xe3, 0xeb, 0x11, 0x6b, 0x65, 0x5f, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0b, }, {0xef, 0x53, 0xb6, 0x29, 0x4a, 0xca, 0x43, 0x1f, 0x0f, 0x3c, 0x22, 0xdc, 0x82, 0xeb, 0x90, 0x50, 0x32, 0x4f, 0x1d, 0x88, 0xd3, 0x77, 0xe7, 0x16, 0x44, 0x8e, 0x50, 0x7c, 0x20, 0xb5, 0x10, 0x00, 0x40, 0x92, 0xe9, 0x66, 0x36, 0xcf, 0xb7, 0xe3, 0x2e, 0xfd, 0xed, 0x82, 0x65, 0xc2, 0x66, 0xdf, 0xb7, 0x54, 0xfa, 0x6d, 0x64, 0x91, 0xa6, 0xda, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0c, }, {0x6e, 0x31, 0xee, 0x1d, 0xc1, 0x37, 0xf8, 0x1b, 0x05, 0x67, 0x52, 0xe4, 0xde, 0xab, 0x14, 0x43, 0xa4, 0x81, 0x03, 0x3e, 0x9b, 0x4c, 0x93, 0xa3, 0x04, 0x4f, 0x4f, 0x7a, 0x20, 0x7d, 0xdd, 0xf0, 0x38, 0x5b, 0xfd, 0xea, 0xb6, 0xe9, 0xac, 0xda, 0x8d, 0xa0, 0x6b, 0x3b, 0xbe, 0xf2, 0x24, 0xa9, 0x3a, 0xb1, 0xe9, 0xe0, 0x36, 0x10, 0x9d, 0x13, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0d, }, {0x34, 0xe8, 0xe1, 0x7a, 0x43, 0x0e, 0x43, 0x28, 0x97, 0x93, 0xc3, 0x83, 0xfa, 0xc9, 0x77, 0x42, 0x47, 0xb4, 0x0e, 0x9e, 0xbd, 0x33, 0x66, 0x98, 0x1f, 0xcf, 0xae, 0xca, 0x25, 0x28, 0x19, 0xf7, 0x1c, 0x7f, 0xb7, 0xfb, 0xcb, 0x15, 0x9b, 0xe3, 0x37, 0xd3, 0x7d, 0x33, 0x36, 0xd7, 0xfe, 0xb9, 0x63, 0x72, 0x4f, 0xdf, 0xb0, 0xec, 0xb7, 0x67, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0e, }, {0xa5, 0x36, 0x40, 0xc8, 0x3d, 0xc2, 0x08, 0x60, 0x3d, 0xed, 0x83, 0xe4, 0xec, 0xf7, 0x58, 0xf2, 0x4c, 0x35, 0x7d, 0x7c, 0xf4, 0x80, 0x88, 0xb2, 0xce, 0x01, 0xe9, 0xfa, 0xd5, 0x81, 0x4c, 0xd7, 0x24, 0x19, 0x9c, 0x4a, 0x5b, 0x97, 0x4a, 0x43, 0x68, 0x5f, 0xbf, 0x5b, 0x8b, 0xac, 0x69, 0x45, 0x9c, 0x94, 0x69, 0xbc, 0x8f, 0x23, 0xcc, 0xaf, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0f, }, {0xba, 0xa4, 0xd8, 0x63, 0x55, 0x11, 0xa7, 0xd2, 0x88, 0xae, 0xbe, 0xed, 0xd1, 0x2c, 0xe5, 0x29, 0xff, 0x10, 0x2c, 0x91, 0xf9, 0x7f, 0x86, 0x7e, 0x21, 0x91, 0x6b, 0xf9, 0x97, 0x9a, 0x5f, 0x47, 0x59, 0xf8, 0x0f, 0x4f, 0xb4, 0xec, 0x2e, 0x34, 0xf5, 0x56, 0x6d, 0x59, 0x56, 0x80, 0xa1, 0x17, 0x35, 0xe7, 0xb6, 0x10, 0x46, 0x12, 0x79, 0x89, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10, }, {0x0b, 0x6e, 0xc4, 0xfe, 0x17, 0x77, 0x38, 0x24, 0x04, 0xef, 0x67, 0x99, 0x97, 0xba, 0x8d, 0x1c, 0xc5, 0xcd, 0x8e, 0x85, 0x34, 0x92, 0x59, 0xf5, 0x90, 0xc4, 0xc6, 0x6d, 0x33, 0x99, 0xd4, 0x64, 0x34, 0x59, 0x06, 0xb1, 0x1b, 0x00, 0xe3, 0x63, 0xef, 0x42, 0x92, 0x21, 0xf2, 0xec, 0x72, 0x0d, 0x2f, 0x66, 0x5d, 0x7d, 0xea, 0xd5, 0xb4, 0x82, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x11, }, {0xb8, 0x35, 0x7c, 0x3a, 0x6c, 0xee, 0xf2, 0x88, 0x31, 0x0e, 0x17, 0xb8, 0xbf, 0xef, 0xf9, 0x20, 0x08, 0x46, 0xca, 0x8c, 0x19, 0x42, 0x49, 0x7c, 0x48, 0x44, 0x03, 0xbc, 0xff, 0x14, 0x9e, 0xfa, 0x66, 0x06, 0xa6, 0xbd, 0x20, 0xef, 0x7d, 0x1b, 0x06, 0xbd, 0x92, 0xf6, 0x90, 0x46, 0x39, 0xdc, 0xe5, 0x17, 0x4d, 0xb6, 0xcc, 0x55, 0x4a, 0x26, }, }, { {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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}, }, { {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, 0x5c, 0x5c, 0x2a, 0x3b, }, {0x70, 0x6a, 0x46, 0xdc, 0x76, 0xdc, 0xb7, 0x67, 0x98, 0xe6, 0x0e, 0x6d, 0x89, 0x47, 0x47, 0x88, 0xd1, 0x6d, 0xc1, 0x80, 0x32, 0xd2, 0x68, 0xfd, 0x1a, 0x70, 0x4f, 0xa6, 0xe3, 0xd4, 0x89, 0x58, 0x43, 0xda, 0x18, 0x8f, 0xd5, 0x8f, 0xb0, 0x56, 0x79, 0x76, 0xd7, 0xb5, 0x03, 0x59, 0xd6, 0xb7, 0x85, 0x30, 0xc8, 0xf6, 0x2d, 0x1b, 0x17, 0x46, }, }, { {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, 0x5c, 0x5c, 0x2a, 0x3c, }, {0xb7, 0x0e, 0x0c, 0xbd, 0x6b, 0xb4, 0xbf, 0x7f, 0x32, 0x13, 0x90, 0xb9, 0x4a, 0x03, 0xc1, 0xd3, 0x56, 0xc2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xd6, 0x11, 0x5c, 0x1d, 0x21, 0x42, 0xc8, 0x9c, 0x77, 0x4a, 0x08, 0xdc, 0x04, 0xb3, 0xdd, 0x20, 0x19, 0x32, 0xbc, 0x8a, 0x5e, 0xa5, 0xf8, 0xb8, 0x9b, 0xbb, 0x2a, 0x7e, 0x66, 0x7a, 0xff, 0x81, 0xcd, }, }, }; TEST(P224, ExternalToInternalAndBack) { Point point; EXPECT_TRUE(point.SetFromString(base::StringPiece( reinterpret_cast(kBasePointExternal), sizeof(kBasePointExternal)))); const std::string external = point.ToString(); ASSERT_EQ(external.size(), 56u); EXPECT_TRUE(memcmp(external.data(), kBasePointExternal, sizeof(kBasePointExternal)) == 0); } TEST(P224, ScalarBaseMult) { Point point; for (size_t i = 0; i < arraysize(kNISTTestVectors); i++) { p224::ScalarBaseMult(kNISTTestVectors[i].scalar, &point); const std::string external = point.ToString(); ASSERT_EQ(external.size(), 56u); EXPECT_TRUE(memcmp(external.data(), kNISTTestVectors[i].affine, external.size()) == 0); } } TEST(P224, Addition) { Point a, b, minus_b, sum, a_again; ASSERT_TRUE(a.SetFromString(base::StringPiece( reinterpret_cast(kNISTTestVectors[10].affine), 56))); ASSERT_TRUE(b.SetFromString(base::StringPiece( reinterpret_cast(kNISTTestVectors[11].affine), 56))); p224::Negate(b, &minus_b); p224::Add(a, b, &sum); EXPECT_TRUE(memcmp(&sum, &a, sizeof(sum) != 0)); p224::Add(minus_b, sum, &a_again); EXPECT_TRUE(a_again.ToString() == a.ToString()); } TEST(P224, Infinity) { char zeros[56]; memset(zeros, 0, sizeof(zeros)); // Test that x^0 = ∞. Point a; p224::ScalarBaseMult(reinterpret_cast(zeros), &a); EXPECT_TRUE(memcmp(zeros, a.ToString().data(), sizeof(zeros)) == 0); // We shouldn't allow ∞ to be imported. EXPECT_FALSE(a.SetFromString(std::string(zeros, sizeof(zeros)))); } } // namespace crypto