diff --git a/oemcrypto/test/oec_extra_test_keys.h b/oemcrypto/test/oec_extra_test_keys.h new file mode 100644 index 0000000..6da5bff --- /dev/null +++ b/oemcrypto/test/oec_extra_test_keys.h @@ -0,0 +1,1054 @@ +// Copyright 2018 Google LLC. All Rights Reserved. This file and proprietary +// source code may only be used and distributed under the Widevine +// License Agreement. +// +// Test data for OEMCrypto unit tests. +// + +#ifndef CDM_OEC_EXTRA_TEST_KEYS_H_ +#define CDM_OEC_EXTRA_TEST_KEYS_H_ + +#include "oemcrypto_types.h" + +static const uint8_t kCarmichaelNonZeroNormalDer[] = { + 0x30, 0x82, 0x04, 0xbe, 0x02, 0x01, 0x00, 0x30, 0x0d, 0x06, 0x09, 0x2a, + 0x86, 0x48, 0x86, 0xf7, 0x0d, 0x01, 0x01, 0x01, 0x05, 0x00, 0x04, 0x82, + 0x04, 0xa8, 0x30, 0x82, 0x04, 0xa4, 0x02, 0x01, 0x00, 0x02, 0x82, 0x01, + 0x01, 0x00, 0xcd, 0xbf, 0xaa, 0xbd, 0x8a, 0x1e, 0x51, 0x3c, 0x39, 0x16, + 0xaa, 0x9d, 0xea, 0xf1, 0x4c, 0xb6, 0xd8, 0x07, 0xc7, 0x91, 0x39, 0x3d, + 0x37, 0x64, 0x03, 0xcb, 0xbb, 0x91, 0xa8, 0x7a, 0x61, 0xb3, 0x3c, 0x10, + 0xfa, 0x1d, 0x92, 0xf8, 0x32, 0xed, 0xe8, 0x1a, 0xea, 0x59, 0xfe, 0xeb, + 0x01, 0x51, 0xdc, 0x73, 0xb7, 0xc2, 0x2c, 0x44, 0x14, 0x7b, 0x41, 0x4e, + 0x5e, 0x33, 0x27, 0x98, 0xcc, 0x28, 0xb4, 0x81, 0x00, 0xe9, 0xcd, 0x14, + 0x10, 0x79, 0x21, 0xf3, 0x2f, 0x8b, 0x99, 0x20, 0x53, 0x7a, 0x06, 0x96, + 0x37, 0xa0, 0x10, 0x2c, 0x59, 0x52, 0x4f, 0x0a, 0x86, 0xbe, 0x08, 0x8f, + 0x21, 0x0e, 0xe3, 0xfc, 0xcd, 0x5d, 0xbb, 0x2a, 0x92, 0xf3, 0x76, 0x1e, + 0x32, 0xd6, 0xd9, 0xc8, 0xa6, 0x8b, 0x3c, 0x74, 0xc8, 0x12, 0x5c, 0xb4, + 0x8d, 0xe1, 0xb8, 0x3d, 0x52, 0xc9, 0xfc, 0x8c, 0x8b, 0xeb, 0x2f, 0x47, + 0x37, 0xaf, 0xc5, 0x66, 0xfc, 0xac, 0x3a, 0x59, 0xec, 0x2a, 0x15, 0xa5, + 0x90, 0x07, 0xd9, 0x08, 0x77, 0x44, 0x12, 0xad, 0x1e, 0xae, 0xb9, 0x04, + 0xb1, 0x53, 0x31, 0x62, 0x8a, 0xeb, 0xb9, 0xd5, 0xf8, 0xf7, 0xc4, 0xd6, + 0x53, 0x7f, 0x23, 0xce, 0xc9, 0xc0, 0xcd, 0xc0, 0xaa, 0x5f, 0xb4, 0x26, + 0xc2, 0xb6, 0x9d, 0x11, 0x7b, 0x76, 0x61, 0xb1, 0xe9, 0x2d, 0x65, 0xf1, + 0x29, 0xcc, 0x59, 0x95, 0xe4, 0xd7, 0x73, 0x77, 0x5e, 0x90, 0x3c, 0x2e, + 0x75, 0x19, 0xc7, 0x1e, 0x70, 0x68, 0x64, 0x2c, 0x0d, 0xcb, 0xcd, 0x83, + 0xc2, 0x19, 0x43, 0x86, 0xf6, 0x01, 0x2b, 0x3c, 0x97, 0xe5, 0x84, 0x2d, + 0x04, 0xd3, 0xb7, 0x09, 0x19, 0x60, 0xe3, 0x42, 0xcf, 0x8d, 0x53, 0xa1, + 0xae, 0x9b, 0xcf, 0x3c, 0x76, 0x64, 0xaf, 0xf1, 0x4e, 0xc2, 0xff, 0x70, + 0xaa, 0x56, 0x1b, 0x27, 0x43, 0x93, 0x02, 0x03, 0x01, 0x00, 0x01, 0x02, + 0x82, 0x01, 0x00, 0x38, 0x8a, 0x1e, 0xa7, 0xe6, 0x60, 0x2d, 0x6f, 0xb0, + 0xba, 0x77, 0x59, 0x5d, 0x1a, 0x41, 0x3c, 0x0f, 0xc2, 0x97, 0x87, 0x63, + 0x64, 0xdc, 0xa7, 0x59, 0xd9, 0xaf, 0x2a, 0x38, 0x53, 0xa5, 0x2c, 0x85, + 0x69, 0x9e, 0xe9, 0xe8, 0x9c, 0xd7, 0x16, 0x04, 0x8d, 0xfc, 0xef, 0x8d, + 0x3b, 0x54, 0x4a, 0x04, 0x1c, 0x32, 0x97, 0xa3, 0xe5, 0x73, 0x81, 0x69, + 0x71, 0x59, 0x36, 0x92, 0x7f, 0x8d, 0x3e, 0xf4, 0x57, 0x6d, 0x02, 0x52, + 0xce, 0x5c, 0x36, 0x85, 0x6b, 0x58, 0x19, 0xf3, 0x12, 0xec, 0x8d, 0xa0, + 0x68, 0xc0, 0x51, 0x76, 0x90, 0x51, 0x5d, 0x6a, 0x86, 0x18, 0x7f, 0xf9, + 0x47, 0x27, 0xcc, 0xf9, 0x3e, 0xdb, 0xca, 0x91, 0xa8, 0x01, 0xe8, 0xf0, + 0x81, 0x1c, 0xf4, 0x68, 0xb5, 0x98, 0x7a, 0xb3, 0xba, 0xdd, 0xce, 0x19, + 0xf6, 0xad, 0xf4, 0xa4, 0xd6, 0x09, 0x3d, 0xa3, 0x6e, 0x95, 0xf6, 0x25, + 0x8a, 0xa2, 0xc2, 0xbc, 0xb0, 0x87, 0x82, 0xa6, 0xb4, 0xda, 0xfa, 0xa4, + 0x01, 0x0c, 0xe8, 0x4f, 0x47, 0x90, 0xfb, 0xf4, 0x9d, 0x30, 0x32, 0x0f, + 0x49, 0x16, 0xd3, 0x3f, 0xe0, 0x09, 0xd5, 0xf2, 0xc2, 0x6a, 0x30, 0x97, + 0xb4, 0x0d, 0x2c, 0xab, 0xf9, 0xf1, 0xfc, 0x66, 0x7c, 0x7f, 0x51, 0x32, + 0x1a, 0xf5, 0xcf, 0xda, 0x3f, 0x82, 0xb5, 0xf6, 0x50, 0xc3, 0xd3, 0xe4, + 0x9a, 0xe3, 0x83, 0x3f, 0xc5, 0xe9, 0x1e, 0x7d, 0xa7, 0xc3, 0x8d, 0x19, + 0x42, 0x2e, 0x26, 0x23, 0x6e, 0xe5, 0xe7, 0xfc, 0xfb, 0xf2, 0x2e, 0x13, + 0xef, 0x71, 0x57, 0xd6, 0x34, 0x47, 0xbd, 0x7c, 0xf9, 0x1b, 0x9e, 0xaf, + 0x5a, 0x85, 0xd9, 0xb6, 0x6a, 0x50, 0x2d, 0x42, 0x52, 0x9d, 0xf8, 0x26, + 0xae, 0xa0, 0x6e, 0x10, 0xac, 0xbc, 0xfa, 0x9d, 0xdc, 0xb2, 0x60, 0x75, + 0x76, 0xa7, 0xe5, 0xf1, 0x22, 0x5a, 0xbd, 0x02, 0x81, 0x81, 0x00, 0xe8, + 0x8d, 0xb6, 0x20, 0x95, 0x50, 0x4a, 0xe6, 0xfb, 0x1a, 0x72, 0xfd, 0x15, + 0xfd, 0xb9, 0xfe, 0x5a, 0x90, 0x4b, 0xbb, 0xf0, 0x01, 0x44, 0xed, 0xde, + 0x5b, 0xd5, 0x07, 0x0b, 0x72, 0x3e, 0xbb, 0x09, 0xd7, 0xe7, 0x7c, 0xb6, + 0xc1, 0xdc, 0x36, 0xf6, 0x72, 0x5d, 0xab, 0xd5, 0x01, 0x5a, 0x7f, 0x44, + 0x8a, 0x20, 0x75, 0x39, 0x2b, 0x4e, 0xf2, 0x4e, 0x62, 0xc8, 0xaf, 0xd2, + 0x2e, 0x7e, 0x54, 0x3c, 0x79, 0x87, 0x03, 0xdf, 0x29, 0xef, 0x71, 0xf9, + 0xa9, 0x69, 0xc5, 0xc3, 0x00, 0x1e, 0xda, 0x18, 0x0c, 0xe4, 0x7e, 0xe7, + 0x53, 0xe4, 0x95, 0xc1, 0xac, 0xa2, 0x91, 0x38, 0x0c, 0xfc, 0xa9, 0xe4, + 0xa9, 0x80, 0x58, 0x05, 0xac, 0x82, 0x07, 0x3b, 0xb3, 0xed, 0x72, 0xde, + 0x84, 0xd1, 0x43, 0x02, 0x75, 0x7b, 0xd5, 0xd8, 0x38, 0x2f, 0xa8, 0xf5, + 0x8b, 0x1c, 0xee, 0x16, 0x70, 0x74, 0x2d, 0x02, 0x81, 0x81, 0x00, 0xe2, + 0x7e, 0x1c, 0xd9, 0x8f, 0x5a, 0x17, 0x36, 0x16, 0x68, 0xb1, 0x82, 0x3e, + 0x9c, 0x21, 0xab, 0x22, 0x51, 0x30, 0x85, 0x55, 0x6f, 0xe7, 0x18, 0xf1, + 0x6a, 0x4e, 0x9d, 0x51, 0x89, 0xc9, 0x00, 0xb2, 0x7d, 0x34, 0x99, 0x19, + 0x6d, 0xa8, 0x6e, 0xea, 0xd1, 0xfc, 0x4e, 0x81, 0x92, 0x92, 0xf0, 0x62, + 0xd0, 0xfe, 0xb2, 0x48, 0x5d, 0xfd, 0x87, 0x90, 0x94, 0x87, 0x3b, 0x77, + 0x29, 0xdc, 0x21, 0x9e, 0xc4, 0xa2, 0x81, 0x9d, 0x03, 0x31, 0xda, 0xce, + 0x7c, 0xf3, 0x45, 0xb8, 0xd6, 0x35, 0xa7, 0x6a, 0x93, 0xe3, 0xe9, 0x30, + 0x39, 0x5b, 0x54, 0xd1, 0x7d, 0x38, 0x65, 0xa7, 0xcb, 0xfd, 0x01, 0x33, + 0x73, 0x52, 0xf4, 0xab, 0xa7, 0x73, 0xa4, 0x4d, 0x9a, 0x1f, 0x76, 0xe8, + 0x69, 0x58, 0x68, 0x78, 0x5b, 0xdc, 0x8d, 0x82, 0x3d, 0x0b, 0x7f, 0x55, + 0xc4, 0x20, 0xe0, 0x23, 0xb2, 0xae, 0xbf, 0x02, 0x81, 0x80, 0x30, 0x63, + 0xd4, 0x83, 0x01, 0x2e, 0xdc, 0xf7, 0x25, 0x47, 0x02, 0xa8, 0x61, 0x1c, + 0x13, 0xc8, 0xb6, 0x85, 0x92, 0x0c, 0xc0, 0x4b, 0x33, 0x51, 0x9f, 0xd4, + 0x52, 0x06, 0x8e, 0x3e, 0x2e, 0x89, 0x72, 0xe9, 0xe7, 0x34, 0x4f, 0x3f, + 0x15, 0x98, 0xa6, 0x3d, 0x73, 0xfa, 0x5e, 0x6f, 0x52, 0xaa, 0x6a, 0xd3, + 0xa7, 0x1f, 0x5d, 0x4f, 0x02, 0xb5, 0x6e, 0xd4, 0x25, 0x58, 0x58, 0x8e, + 0xee, 0x20, 0x8f, 0x18, 0xe6, 0x9c, 0x4a, 0xa2, 0x8a, 0x3d, 0x98, 0x2a, + 0xc5, 0x64, 0xae, 0x47, 0xe7, 0x23, 0x90, 0x9f, 0x96, 0x28, 0x45, 0xf0, + 0x71, 0xff, 0x2b, 0x76, 0xc5, 0xb9, 0x1c, 0x05, 0xaf, 0xc9, 0x96, 0x58, + 0x22, 0xe9, 0xad, 0xfc, 0x90, 0x6d, 0xfa, 0xe1, 0x5c, 0xc6, 0x6b, 0x41, + 0x0d, 0xde, 0x38, 0xb3, 0xc3, 0x99, 0xe2, 0xcd, 0x06, 0x35, 0xcd, 0x2a, + 0x2e, 0x51, 0xe8, 0x7f, 0x6b, 0xdd, 0x02, 0x81, 0x81, 0x00, 0x8c, 0x1d, + 0x56, 0x7d, 0xa4, 0xb8, 0x28, 0x09, 0xd6, 0xdd, 0x17, 0x8b, 0x2a, 0x6e, + 0x6e, 0x49, 0xaf, 0x66, 0x28, 0xad, 0x23, 0x88, 0xa1, 0x9f, 0x85, 0xa1, + 0xad, 0x56, 0x97, 0x5d, 0xb4, 0xd2, 0x50, 0x99, 0x32, 0x53, 0xd0, 0x2e, + 0x4d, 0x77, 0xa8, 0x9f, 0x15, 0x06, 0x00, 0x14, 0x8c, 0x00, 0x58, 0x31, + 0x50, 0x8f, 0x3c, 0x43, 0xa1, 0x17, 0x1f, 0x73, 0x33, 0x21, 0xaf, 0x7b, + 0x5e, 0xea, 0x11, 0x8d, 0x35, 0xb7, 0x17, 0x4a, 0x25, 0xaa, 0x65, 0xf9, + 0x58, 0x89, 0xf6, 0x69, 0xd6, 0x31, 0x66, 0xb6, 0x6c, 0xd5, 0x12, 0x77, + 0x39, 0x30, 0x04, 0x95, 0x01, 0xb1, 0xa9, 0x97, 0x81, 0x42, 0x1f, 0xf1, + 0x25, 0x0d, 0xa5, 0xaf, 0x66, 0xd3, 0xeb, 0x0a, 0x00, 0x93, 0x0f, 0xfe, + 0x33, 0xaa, 0x15, 0x63, 0x46, 0xd2, 0xe8, 0x12, 0x19, 0xad, 0xc1, 0x82, + 0x1e, 0x90, 0x6a, 0xa5, 0x1c, 0x83, 0x02, 0x81, 0x81, 0x00, 0xc3, 0x07, + 0x42, 0xa2, 0xc1, 0xeb, 0xad, 0x1e, 0xae, 0x94, 0xc0, 0x5d, 0x71, 0xfd, + 0xfe, 0xfb, 0xeb, 0xba, 0xb0, 0xdb, 0x05, 0x60, 0xf8, 0x70, 0xe1, 0x79, + 0x99, 0xec, 0x66, 0xbe, 0xdb, 0x59, 0xfe, 0x1e, 0xcf, 0xa7, 0xe5, 0x44, + 0x9e, 0x4c, 0x32, 0xef, 0x56, 0x03, 0x24, 0xc3, 0x71, 0xe7, 0x36, 0x96, + 0xd7, 0x9c, 0x65, 0xe8, 0xf7, 0xd2, 0xce, 0x80, 0xb2, 0x34, 0x68, 0x42, + 0xd3, 0xe9, 0x0a, 0xd8, 0x76, 0x65, 0x74, 0x09, 0xed, 0x8c, 0x92, 0x36, + 0x2e, 0x84, 0x46, 0x2b, 0xc2, 0x1d, 0x10, 0x9b, 0x89, 0x4c, 0x50, 0x7d, + 0x41, 0x0a, 0x67, 0x98, 0xb1, 0xb6, 0x30, 0xe2, 0xf6, 0x5f, 0x97, 0x7c, + 0x75, 0x2f, 0x6a, 0x59, 0xa2, 0x34, 0xc3, 0x74, 0xe7, 0xec, 0x4a, 0xb1, + 0x3c, 0x36, 0x97, 0x63, 0xfd, 0xac, 0x04, 0x0c, 0x8a, 0xcb, 0x50, 0x46, + 0x94, 0x41, 0x3a, 0x80, 0x01, 0x67}; +static const size_t kCarmichaelNonZeroNormalDerLen = 1218; +static const uint8_t kDualNonZeroNormalDer[] = { + 0x30, 0x82, 0x04, 0xbe, 0x02, 0x01, 0x00, 0x30, 0x0d, 0x06, 0x09, 0x2a, + 0x86, 0x48, 0x86, 0xf7, 0x0d, 0x01, 0x01, 0x01, 0x05, 0x00, 0x04, 0x82, + 0x04, 0xa8, 0x30, 0x82, 0x04, 0xa4, 0x02, 0x01, 0x00, 0x02, 0x82, 0x01, + 0x01, 0x00, 0xdd, 0x9e, 0xba, 0x33, 0x48, 0x38, 0x5d, 0xca, 0x7c, 0x2a, + 0x1d, 0x4c, 0xcc, 0xd9, 0x75, 0xea, 0x9e, 0x64, 0x32, 0x5f, 0x70, 0x50, + 0x9e, 0xb6, 0xda, 0xbc, 0x4c, 0x20, 0x3a, 0x2b, 0x10, 0xd7, 0x6f, 0x18, + 0x04, 0xd7, 0x67, 0x8b, 0xc0, 0x87, 0x25, 0xcd, 0xe4, 0x28, 0xce, 0x79, + 0x08, 0xf9, 0xcb, 0x76, 0x19, 0x4e, 0xde, 0x58, 0x1f, 0xb6, 0xab, 0x15, + 0xca, 0x5f, 0xb5, 0x7d, 0xa5, 0xce, 0x30, 0x35, 0xc7, 0xb1, 0x82, 0x8c, + 0xd0, 0x6f, 0x7c, 0x5d, 0xa0, 0x98, 0x43, 0x10, 0xbd, 0x10, 0x65, 0x2a, + 0x98, 0x0c, 0x6b, 0x49, 0xdf, 0xde, 0x2e, 0xe7, 0x52, 0x4e, 0xda, 0x84, + 0x96, 0xeb, 0x3c, 0xb5, 0x2a, 0xcb, 0x73, 0x6b, 0x5d, 0x1c, 0x95, 0x96, + 0xa4, 0x68, 0x0b, 0xad, 0xdd, 0xe1, 0x03, 0xba, 0xe6, 0x4c, 0xa9, 0x21, + 0x42, 0x6e, 0x4d, 0xe3, 0x76, 0x8f, 0x64, 0xb1, 0x1a, 0x58, 0x0e, 0x48, + 0xc0, 0x37, 0x06, 0xf5, 0x11, 0xd8, 0x7d, 0xf1, 0x5c, 0xc2, 0xa3, 0xa3, + 0xc8, 0x54, 0x71, 0x09, 0xfd, 0x93, 0x85, 0xc5, 0xe4, 0x66, 0x4b, 0xe3, + 0x71, 0xe3, 0x4d, 0x00, 0x39, 0x3f, 0x8b, 0xbb, 0x8a, 0xae, 0x8b, 0x0f, + 0x2f, 0x99, 0xcd, 0xea, 0x1d, 0xa4, 0x34, 0xb2, 0x6c, 0x3e, 0x34, 0xcb, + 0x62, 0x46, 0x20, 0xf1, 0x13, 0xe2, 0xd6, 0x8d, 0xaf, 0x49, 0xbe, 0x7f, + 0x30, 0xd2, 0x63, 0x35, 0xb5, 0xf7, 0x27, 0x40, 0xe4, 0xf2, 0x90, 0x7a, + 0x9c, 0x43, 0xb2, 0x39, 0x1f, 0x6d, 0x92, 0x29, 0xec, 0x6e, 0x24, 0xed, + 0x4c, 0x05, 0xc5, 0xf6, 0x15, 0x6f, 0x60, 0xbd, 0x55, 0xca, 0xad, 0xe6, + 0x1a, 0xbc, 0x65, 0x08, 0xcc, 0x37, 0x95, 0x26, 0xf8, 0x1f, 0xe2, 0xcf, + 0x97, 0x8c, 0x32, 0x46, 0x54, 0xf4, 0x2e, 0x7d, 0x40, 0x27, 0x3a, 0x96, + 0x92, 0xf2, 0x6f, 0x7e, 0xde, 0xbf, 0x02, 0x03, 0x01, 0x00, 0x01, 0x02, + 0x82, 0x01, 0x00, 0x54, 0x83, 0x53, 0x3e, 0x7b, 0x2c, 0x03, 0x98, 0x54, + 0x01, 0x3b, 0x6b, 0x2e, 0x33, 0x3f, 0x64, 0x59, 0x42, 0x9c, 0x73, 0x08, + 0xc1, 0xb5, 0xc4, 0xc5, 0x65, 0x49, 0x22, 0x81, 0x0c, 0x2b, 0x3f, 0xfc, + 0x7d, 0x8c, 0x5b, 0x18, 0x81, 0x92, 0xc9, 0xf7, 0x00, 0xad, 0x21, 0x62, + 0x9b, 0x85, 0x70, 0xbc, 0xc6, 0x2c, 0xa0, 0x86, 0xe9, 0xd4, 0x2e, 0x34, + 0xcf, 0xfa, 0x7c, 0xc5, 0x19, 0x45, 0x41, 0x7b, 0xe1, 0x06, 0x66, 0x0b, + 0x02, 0xe7, 0xf9, 0x9b, 0xd3, 0x98, 0x8a, 0x78, 0x08, 0xca, 0x10, 0x96, + 0x83, 0xc7, 0xb7, 0xf4, 0xb2, 0x17, 0x4d, 0x03, 0x55, 0xf3, 0x6d, 0x5e, + 0xa7, 0x71, 0x66, 0x03, 0xa0, 0x92, 0xd1, 0x43, 0x12, 0x8e, 0x4f, 0x78, + 0x3c, 0x1a, 0x36, 0x13, 0x3e, 0x1a, 0x7e, 0xd4, 0x8d, 0x51, 0x85, 0xaa, + 0x79, 0xa4, 0x7b, 0xab, 0xf8, 0x32, 0x1e, 0x3c, 0xa7, 0xcd, 0x03, 0x51, + 0xbe, 0xd3, 0x55, 0xd7, 0xe4, 0x7d, 0x27, 0x22, 0xcf, 0xb4, 0xf6, 0x8c, + 0xbc, 0xcd, 0x00, 0x08, 0x1f, 0x55, 0x0f, 0x4a, 0xb8, 0xee, 0x9e, 0x16, + 0x75, 0x75, 0x3d, 0xff, 0x2b, 0x5d, 0x69, 0x6f, 0x13, 0x75, 0x92, 0x97, + 0x71, 0xb0, 0x2f, 0xb7, 0x07, 0x1c, 0xb5, 0x51, 0x15, 0xe4, 0xea, 0xf3, + 0x2d, 0x6f, 0x74, 0x53, 0x8a, 0x78, 0xb2, 0x69, 0x14, 0x44, 0xf2, 0x64, + 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0x6b, 0x79, 0xfd, 0x80, 0x18, 0x8e, + 0xf7, 0xa0, 0x68, 0x6b, 0xc1, 0x8b, 0x70, 0x88, 0xb6, 0xaf, 0x1d, 0x86, + 0xf7, 0xed, 0x10, 0x31, 0x3d, 0xee, 0xb9, 0x0e, 0x1e, 0xd2, 0xcf, 0xd8, + 0x8f, 0xc6, 0xec, 0x73, 0xab, 0x58, 0x2b, 0x02, 0x81, 0x81, 0x00, 0xea, + 0x81, 0xd4, 0x7b, 0xa3, 0x43, 0x92, 0x00, 0x01, 0xcb, 0x7e, 0xfd, 0xd1, + 0x96, 0x08, 0xc8, 0xc0, 0x8d, 0xef, 0x94, 0xa8, 0xbd, 0x8a, 0x14, 0x27, + 0x47, 0x94, 0x6b, 0xd2, 0x20, 0x6e, 0x25, 0x80, 0x72, 0x6e, 0xbd, 0xbc, + 0x47, 0xa6, 0x80, 0xbf, 0x91, 0xba, 0x49, 0x65, 0xb1, 0x4f, 0x40, 0xdb, + 0x8b, 0x07, 0x8a, 0x4a, 0xcb, 0xb3, 0x8f, 0x86, 0xa2, 0x55, 0x1f, 0x4c, + 0x08, 0xe5, 0x90, 0xe1, 0x93, 0xe8, 0xc4, 0x1c, 0x11, 0x72, 0x09, 0xb0, + 0x6b, 0xe9, 0xbe, 0x2b, 0x22, 0x7a, 0xbc, 0xa9, 0xde, 0x0f, 0xbe, 0x62, + 0x51, 0x8e, 0xcb, 0xaa, 0xfe, 0xe4, 0x81, 0x1a, 0xe5, 0x8f, 0x8a, 0x01, + 0xed, 0xc3, 0x78, 0x16, 0x29, 0xec, 0xaf, 0xc5, 0xb0, 0x47, 0x45, 0xe9, + 0x33, 0x94, 0x03, 0xad, 0x65, 0xec, 0xf8, 0x67, 0x97, 0x51, 0xcb, 0x38, + 0xe6, 0x84, 0x9c, 0xf0, 0x69, 0xd5, 0xbd, 0x02, 0x81, 0x80, 0x58, 0xc2, + 0x56, 0x7f, 0x2b, 0xee, 0xc3, 0xa4, 0xe7, 0x6f, 0x2b, 0x17, 0xb3, 0x4a, + 0xef, 0x78, 0xaa, 0xe2, 0x1a, 0xd1, 0xb4, 0xa1, 0xc9, 0x71, 0x49, 0x8b, + 0x2b, 0xd6, 0x6b, 0x95, 0x79, 0xbf, 0x70, 0x84, 0x29, 0xba, 0x6f, 0x04, + 0x22, 0x2f, 0x4a, 0xf5, 0xe7, 0xf7, 0x6e, 0x6c, 0x4f, 0xbb, 0x49, 0x89, + 0x43, 0x0e, 0xc9, 0x9c, 0x42, 0x60, 0x69, 0xc6, 0x8e, 0x7d, 0xaf, 0xa3, + 0x7f, 0x1d, 0x74, 0xc8, 0x50, 0x44, 0xf8, 0x04, 0x1d, 0x49, 0x05, 0x57, + 0x3b, 0xdc, 0x72, 0x50, 0x64, 0xe8, 0x15, 0x4e, 0x06, 0xdd, 0x1e, 0x84, + 0x97, 0xbc, 0xad, 0xaa, 0xb5, 0x67, 0xe8, 0xfd, 0xa4, 0x3d, 0x5e, 0x56, + 0x63, 0x37, 0x6c, 0x31, 0x39, 0xe3, 0x33, 0x85, 0x32, 0x81, 0xf6, 0xbe, + 0x86, 0xee, 0xe5, 0xe1, 0xfe, 0xef, 0x4d, 0xca, 0xe9, 0x34, 0xf0, 0x12, + 0xef, 0xbc, 0x58, 0x43, 0x88, 0xb9, 0x02, 0x81, 0x81, 0x00, 0x80, 0x13, + 0x72, 0x4a, 0x28, 0x4b, 0xd2, 0x24, 0x60, 0xd6, 0x94, 0x3f, 0xe9, 0xc4, + 0xa8, 0x7d, 0x83, 0xf4, 0xc1, 0x01, 0x8e, 0xfb, 0x1d, 0xbb, 0x8e, 0x0c, + 0x60, 0xfa, 0x56, 0x23, 0xd2, 0x24, 0x77, 0x37, 0x88, 0x55, 0xe5, 0xcb, + 0xb8, 0x1b, 0x1f, 0x05, 0x67, 0x19, 0x89, 0x09, 0xc2, 0xc0, 0x28, 0x67, + 0x91, 0x31, 0xad, 0x51, 0xfd, 0x7a, 0x88, 0xcc, 0x85, 0xf2, 0xf6, 0xe2, + 0xf1, 0x06, 0x24, 0xbd, 0x54, 0x66, 0x2e, 0xf2, 0x34, 0x37, 0x28, 0x7c, + 0x77, 0x87, 0x9e, 0x25, 0x51, 0xa5, 0x52, 0x9c, 0xee, 0x3a, 0x4b, 0x96, + 0x41, 0x87, 0xe8, 0x97, 0x17, 0x93, 0x8f, 0x6e, 0x0a, 0xec, 0x13, 0xcb, + 0x98, 0x73, 0x30, 0x9f, 0xab, 0x1e, 0x00, 0xb9, 0x1a, 0xe4, 0x0a, 0xce, + 0x59, 0xab, 0x7c, 0x7b, 0x6b, 0x65, 0xeb, 0xa5, 0xd0, 0x4d, 0x4e, 0x81, + 0x4f, 0xb2, 0x2a, 0xf7, 0x92, 0x7d, 0x02, 0x81, 0x81, 0x00, 0x80, 0xb5, + 0xb9, 0x67, 0xb2, 0xd0, 0x3c, 0x85, 0xaa, 0x82, 0x13, 0x55, 0xce, 0xa7, + 0x63, 0x5d, 0x20, 0x2c, 0xc8, 0xc3, 0xfc, 0x70, 0xa6, 0x2c, 0xea, 0x0d, + 0x4c, 0xb9, 0x7d, 0x3f, 0xa8, 0x9a, 0x5e, 0xc4, 0xe0, 0x08, 0x9d, 0x33, + 0x33, 0x74, 0x60, 0x64, 0xd9, 0xe0, 0x16, 0xb2, 0xfb, 0x6c, 0x6b, 0x2c, + 0x38, 0x7c, 0x6c, 0x6f, 0xc9, 0x78, 0x65, 0xef, 0x92, 0x5f, 0x66, 0x78, + 0xa2, 0x6d, 0x40, 0xd0, 0x57, 0xf4, 0x76, 0x5b, 0x6c, 0xd5, 0x6c, 0xe4, + 0x0b, 0x55, 0x90, 0xeb, 0xd9, 0xf4, 0x19, 0x22, 0x6f, 0x39, 0xd4, 0xa6, + 0x91, 0xe0, 0x12, 0xad, 0x3a, 0x83, 0x43, 0x7b, 0xc7, 0xc7, 0xde, 0x3a, + 0xde, 0x72, 0x50, 0x15, 0xe4, 0xd9, 0xe3, 0xe6, 0xa7, 0x2a, 0x46, 0x8a, + 0x2d, 0x66, 0xa9, 0xec, 0xe7, 0xf1, 0xfe, 0x9c, 0x99, 0xa8, 0x91, 0x14, + 0xd0, 0xbd, 0xa4, 0x0f, 0xf4, 0xb0}; +static const size_t kDualNonZeroNormalDerLen = 1218; +static const uint8_t kEulerNonZeroNormalDer[] = { + 0x30, 0x82, 0x04, 0xbd, 0x02, 0x01, 0x00, 0x30, 0x0d, 0x06, 0x09, 0x2a, + 0x86, 0x48, 0x86, 0xf7, 0x0d, 0x01, 0x01, 0x01, 0x05, 0x00, 0x04, 0x82, + 0x04, 0xa7, 0x30, 0x82, 0x04, 0xa3, 0x02, 0x01, 0x00, 0x02, 0x82, 0x01, + 0x01, 0x00, 0x88, 0x60, 0xdb, 0x5c, 0x24, 0x8b, 0xe2, 0x2f, 0x82, 0x55, + 0xa3, 0x00, 0xaa, 0xee, 0xad, 0x1f, 0xd9, 0x87, 0xd9, 0xcb, 0x67, 0x2a, + 0x35, 0x7f, 0xf6, 0x27, 0xc1, 0xb1, 0xa2, 0xac, 0xba, 0x2d, 0xe7, 0x16, + 0x9d, 0xec, 0x7c, 0xb3, 0xc8, 0x18, 0xdd, 0xdf, 0xcb, 0x0c, 0x3f, 0x8f, + 0xea, 0xa6, 0xb3, 0xf1, 0x5e, 0x47, 0x28, 0x05, 0xa5, 0x8b, 0x5a, 0xeb, + 0xbd, 0x5d, 0x6c, 0xdd, 0xf0, 0x44, 0x99, 0x7e, 0x1a, 0xe0, 0xbd, 0x41, + 0xc6, 0x63, 0xdf, 0x3b, 0x0a, 0x95, 0x44, 0x77, 0x36, 0x8a, 0x96, 0x29, + 0xf9, 0x62, 0x8d, 0x05, 0xc1, 0x64, 0x93, 0xe7, 0xce, 0xd9, 0x76, 0x61, + 0x00, 0xe9, 0xe6, 0x86, 0x35, 0x99, 0x03, 0x48, 0xb5, 0xaa, 0xa7, 0x69, + 0xe0, 0x9c, 0x71, 0xde, 0x25, 0x01, 0x58, 0xdd, 0xf7, 0x84, 0xe5, 0xbd, + 0x99, 0xcd, 0xbd, 0x5e, 0x2b, 0x8a, 0xcb, 0x91, 0xd8, 0x15, 0x34, 0xd7, + 0x32, 0xdf, 0xf4, 0xed, 0x30, 0xa4, 0x48, 0xcf, 0xc9, 0xfa, 0x78, 0x00, + 0xdf, 0xc1, 0x53, 0x2a, 0x99, 0x28, 0x78, 0xda, 0x19, 0x34, 0x42, 0xb0, + 0x61, 0x9a, 0x60, 0x11, 0x62, 0x1c, 0x6d, 0xb0, 0x35, 0x10, 0x35, 0xc6, + 0xdc, 0x16, 0x51, 0x04, 0xcb, 0x38, 0xd3, 0x39, 0x72, 0x91, 0x75, 0x6d, + 0x6d, 0x67, 0xd1, 0x2d, 0x16, 0x5b, 0x9f, 0xe7, 0xe0, 0xa7, 0xf8, 0x7a, + 0x4b, 0x4c, 0x9c, 0xfa, 0x92, 0x10, 0xb3, 0xce, 0x3f, 0x62, 0x95, 0x3d, + 0x76, 0x26, 0xcb, 0x44, 0xdd, 0x99, 0x58, 0xb5, 0x54, 0x73, 0x7b, 0x55, + 0x37, 0xb2, 0x66, 0xbb, 0x04, 0xfa, 0x08, 0x56, 0xaa, 0x14, 0xc8, 0x6e, + 0x61, 0xae, 0xde, 0x49, 0xa8, 0x98, 0xdd, 0x49, 0x78, 0xdc, 0x69, 0xbc, + 0x0d, 0xdc, 0xc3, 0x73, 0x06, 0x99, 0x10, 0xd4, 0x17, 0x3b, 0xa4, 0xc9, + 0x0d, 0xdb, 0x32, 0xa9, 0xc4, 0x8d, 0x02, 0x03, 0x01, 0x00, 0x01, 0x02, + 0x82, 0x01, 0x00, 0x00, 0xff, 0xf8, 0xcb, 0xc1, 0xa6, 0xd6, 0xe7, 0x33, + 0x44, 0xee, 0x77, 0x84, 0x49, 0x50, 0xb2, 0xa1, 0x95, 0x29, 0xe7, 0x20, + 0x60, 0x02, 0x59, 0x68, 0x54, 0x1d, 0x4a, 0xf0, 0x9e, 0xe4, 0x94, 0x8e, + 0x93, 0xaf, 0x5f, 0xbb, 0x00, 0x54, 0x70, 0xbe, 0x3b, 0xb4, 0x50, 0xe8, + 0x2c, 0x65, 0x73, 0x88, 0x71, 0x36, 0x18, 0x3e, 0x76, 0x60, 0x22, 0xd7, + 0xed, 0x4f, 0x8b, 0x9e, 0x4f, 0x38, 0x42, 0x40, 0x7f, 0xd8, 0xb1, 0x9a, + 0x21, 0x9f, 0xd3, 0x3e, 0xa1, 0x3f, 0xb0, 0x1d, 0x7a, 0xe4, 0x46, 0xfa, + 0xd7, 0xde, 0xf0, 0xb6, 0x88, 0xfa, 0xc4, 0x82, 0x83, 0x1a, 0x14, 0xa5, + 0x16, 0x0b, 0xfc, 0x2b, 0x09, 0x03, 0xde, 0x95, 0xd4, 0x14, 0x24, 0xe6, + 0xaa, 0x53, 0x8f, 0xc2, 0x13, 0xf7, 0x60, 0x7d, 0xa6, 0xce, 0xf8, 0x45, + 0xf8, 0xf0, 0x66, 0x3e, 0x43, 0xb0, 0xfd, 0x09, 0x06, 0x0e, 0x38, 0x02, + 0xd8, 0x2b, 0x03, 0x8f, 0x2d, 0x97, 0x56, 0x12, 0x25, 0x74, 0x11, 0xd0, + 0x57, 0x71, 0x27, 0xbf, 0xaa, 0xce, 0x30, 0x33, 0x4b, 0xa6, 0x5f, 0x9a, + 0xea, 0xfe, 0xee, 0x35, 0x8a, 0x0b, 0x5a, 0x3b, 0xaa, 0x91, 0xb2, 0x25, + 0xcb, 0xa9, 0xb4, 0x67, 0x98, 0xc8, 0x9d, 0x27, 0xf3, 0x5e, 0xbd, 0x2c, + 0xf2, 0xd7, 0x03, 0xf3, 0x88, 0x3b, 0x71, 0xd2, 0xb1, 0x5b, 0x97, 0xdd, + 0xbe, 0x76, 0x6a, 0xe4, 0xa5, 0x6d, 0xac, 0xe7, 0xe2, 0x81, 0x5c, 0xed, + 0x85, 0x89, 0x8b, 0xba, 0xf7, 0x44, 0x8a, 0x0d, 0xe7, 0xa1, 0x27, 0xc7, + 0xa7, 0x51, 0x37, 0x9a, 0xa4, 0x5e, 0x2a, 0x44, 0x7a, 0x29, 0xb1, 0xf0, + 0xee, 0x89, 0x7a, 0x05, 0x76, 0xd5, 0x9a, 0xd7, 0x38, 0x5f, 0xc9, 0x41, + 0xb8, 0x73, 0x6b, 0xc1, 0xac, 0x35, 0x97, 0x0c, 0x4b, 0x79, 0x9d, 0xc5, + 0x17, 0xdd, 0xc7, 0xe0, 0xfa, 0x51, 0x11, 0x02, 0x81, 0x81, 0x00, 0xbd, + 0xc1, 0x64, 0x5c, 0xa6, 0xc6, 0x6a, 0x4c, 0x97, 0x35, 0xc8, 0x1b, 0x24, + 0x9d, 0x1e, 0xae, 0xc2, 0xbb, 0xf5, 0xaa, 0x20, 0x34, 0xbd, 0xac, 0x6b, + 0xc4, 0xe6, 0x4d, 0xf4, 0xc1, 0x9b, 0x13, 0xeb, 0xef, 0xb4, 0x70, 0x25, + 0x15, 0xab, 0xe5, 0x0a, 0x05, 0xa7, 0x53, 0x4e, 0x4e, 0x6d, 0xb2, 0x3c, + 0xfd, 0xe5, 0x25, 0x2b, 0xd6, 0xbd, 0x1d, 0xb3, 0x9a, 0xa1, 0xec, 0xdb, + 0xee, 0x83, 0x13, 0xc0, 0x49, 0x3a, 0xec, 0x5f, 0x1c, 0xd1, 0xd8, 0x7b, + 0xee, 0x22, 0x9c, 0x76, 0xb1, 0x9a, 0x7f, 0xa0, 0xd1, 0xf1, 0xc1, 0x8c, + 0xad, 0x50, 0x14, 0xc4, 0x71, 0xc6, 0x52, 0xc3, 0xc2, 0xff, 0x25, 0xf2, + 0x80, 0xc7, 0x43, 0xb6, 0x16, 0x0e, 0xe3, 0xe3, 0x81, 0xd5, 0xb2, 0xcb, + 0xd5, 0x76, 0x70, 0xf7, 0xc9, 0xe5, 0x7e, 0x7b, 0xeb, 0x02, 0x7c, 0x48, + 0x89, 0xe8, 0x74, 0x35, 0x63, 0xce, 0x25, 0x02, 0x81, 0x81, 0x00, 0xb7, + 0xfd, 0x1b, 0xa5, 0x08, 0xcf, 0x64, 0x39, 0x99, 0xe1, 0x48, 0xdb, 0x1c, + 0x60, 0x8f, 0x27, 0xf8, 0x4b, 0x8d, 0x61, 0x51, 0x88, 0x7f, 0x5b, 0x76, + 0xb3, 0x16, 0x7e, 0x84, 0x37, 0x98, 0x00, 0x3d, 0x21, 0x02, 0x3d, 0xc5, + 0xab, 0xdc, 0x3e, 0x6f, 0xa7, 0x62, 0xcb, 0xe9, 0x55, 0x35, 0x10, 0x67, + 0x0b, 0xa7, 0xce, 0x35, 0x5b, 0x27, 0xee, 0x33, 0x10, 0x9f, 0x4f, 0x93, + 0xb6, 0x95, 0xaf, 0x5f, 0x0d, 0x56, 0xf6, 0xbf, 0x07, 0x9b, 0x20, 0xab, + 0x93, 0x7c, 0x6b, 0xf4, 0xad, 0x19, 0x5f, 0x46, 0x93, 0x2b, 0x99, 0xca, + 0xe8, 0x70, 0x94, 0xeb, 0x06, 0x7b, 0xd9, 0xce, 0x56, 0x4e, 0x70, 0xc4, + 0x17, 0x79, 0x9f, 0x22, 0x6a, 0xf8, 0xfb, 0x21, 0x17, 0x48, 0xc9, 0x72, + 0x5e, 0x64, 0x29, 0xf2, 0x92, 0x58, 0xa4, 0x5d, 0xc1, 0x6f, 0xb8, 0xda, + 0xf9, 0xaf, 0x87, 0x15, 0xad, 0x4c, 0x49, 0x02, 0x81, 0x80, 0x4d, 0xed, + 0xf5, 0xac, 0xc3, 0x65, 0x6b, 0x54, 0x87, 0x29, 0x34, 0x44, 0x49, 0x76, + 0x29, 0x9a, 0xb6, 0x29, 0x01, 0x4c, 0x5c, 0x2b, 0xac, 0xd5, 0xf9, 0xf0, + 0x84, 0x70, 0xf1, 0x9a, 0xed, 0x78, 0x72, 0x06, 0x20, 0xc1, 0x89, 0xc9, + 0x6b, 0xae, 0x05, 0xbe, 0xaa, 0xa8, 0x60, 0xd9, 0x7e, 0xdd, 0x9b, 0x84, + 0xde, 0x2d, 0xb4, 0xe2, 0x5d, 0x0a, 0xac, 0xaf, 0x4d, 0xde, 0xfb, 0xb7, + 0xe9, 0xa7, 0x1b, 0xea, 0x37, 0x43, 0xca, 0x10, 0x08, 0xf2, 0x72, 0x7b, + 0x2b, 0x45, 0xbc, 0xcd, 0x55, 0xd9, 0x22, 0x8f, 0xf6, 0x4c, 0x79, 0xdc, + 0xd7, 0xad, 0x9f, 0xbb, 0xe6, 0x2a, 0x29, 0x71, 0x94, 0xdd, 0xdd, 0xc9, + 0x1b, 0x8c, 0xe8, 0x64, 0x08, 0xbb, 0x78, 0xbc, 0xe2, 0xa9, 0xaa, 0x62, + 0xc1, 0x60, 0xc5, 0xb2, 0xea, 0x08, 0x57, 0x15, 0xfe, 0x10, 0x52, 0xae, + 0x28, 0x84, 0x49, 0x44, 0xf2, 0xed, 0x02, 0x81, 0x80, 0x2a, 0x1e, 0x94, + 0x64, 0x8c, 0x86, 0xc5, 0xbf, 0xf5, 0xfd, 0x3f, 0xeb, 0x81, 0x2c, 0x8d, + 0xb9, 0x2d, 0xbb, 0x46, 0x0b, 0x60, 0x59, 0xea, 0x25, 0xeb, 0x1f, 0x86, + 0x67, 0xc2, 0x26, 0xe3, 0xf2, 0x32, 0x0c, 0x4b, 0x72, 0x0e, 0xbd, 0x90, + 0x36, 0xee, 0xe2, 0x97, 0xd8, 0x6c, 0x7b, 0x28, 0x21, 0xb0, 0x25, 0x57, + 0xed, 0xfa, 0x02, 0xfb, 0x3a, 0x29, 0x90, 0x85, 0x97, 0xf7, 0x0d, 0xd6, + 0x68, 0x86, 0x4f, 0x0c, 0x78, 0x82, 0x34, 0xe0, 0x8b, 0x73, 0x1b, 0xd9, + 0x60, 0xf1, 0x6b, 0x6b, 0x22, 0x87, 0x8a, 0x8b, 0x71, 0xb2, 0xa4, 0xd1, + 0x99, 0x15, 0xd0, 0xaf, 0x2b, 0xa6, 0x73, 0xd5, 0x93, 0x35, 0x20, 0xd6, + 0xa3, 0xda, 0x82, 0x38, 0xab, 0x6c, 0xe0, 0xe2, 0xb5, 0xd3, 0x2b, 0xce, + 0xac, 0x57, 0xae, 0xaf, 0x02, 0x39, 0xc0, 0x5d, 0xae, 0x28, 0xda, 0xfe, + 0x16, 0xe3, 0x9c, 0x7f, 0x99, 0x02, 0x81, 0x81, 0x00, 0xb8, 0xd1, 0x1a, + 0x24, 0x9a, 0x8d, 0xdd, 0xd5, 0x2d, 0x13, 0x2f, 0x79, 0x5c, 0x7a, 0x95, + 0xf7, 0xc5, 0xaf, 0xee, 0x66, 0x4b, 0x33, 0xee, 0x46, 0x03, 0xd2, 0x8e, + 0x7f, 0x60, 0xd8, 0xeb, 0xe8, 0xf2, 0x6c, 0x6d, 0x12, 0x21, 0x8b, 0x20, + 0x8c, 0x1e, 0x01, 0x08, 0x2c, 0xa4, 0xb3, 0x90, 0x05, 0xe0, 0x3e, 0xcd, + 0xb3, 0xb2, 0x0c, 0xb4, 0xf0, 0xaa, 0xe3, 0x53, 0x3d, 0xae, 0x1a, 0x90, + 0xb8, 0xfa, 0x62, 0xae, 0xdd, 0x14, 0x44, 0x2b, 0x75, 0xd6, 0x34, 0x60, + 0x23, 0xbe, 0x76, 0x85, 0x5d, 0x98, 0xac, 0xeb, 0x06, 0xcc, 0xe1, 0x8a, + 0xab, 0x03, 0x9d, 0x55, 0xc5, 0x00, 0x24, 0x06, 0x9d, 0xb9, 0xab, 0x67, + 0x81, 0xce, 0xe8, 0x93, 0xe4, 0x3d, 0xf2, 0x95, 0x04, 0x9a, 0x52, 0xa2, + 0xd4, 0x99, 0xe7, 0x8a, 0x66, 0x66, 0x1d, 0xd5, 0x14, 0x51, 0x8d, 0x5f, + 0xa0, 0xf7, 0x55, 0xe1, 0x7e}; +static const size_t kEulerNonZeroNormalDerLen = 1217; +static const uint8_t kCarmichaelNonZeroShortDer[] = { + 0x30, 0x82, 0x04, 0xbe, 0x02, 0x01, 0x00, 0x30, 0x0d, 0x06, 0x09, 0x2a, + 0x86, 0x48, 0x86, 0xf7, 0x0d, 0x01, 0x01, 0x01, 0x05, 0x00, 0x04, 0x82, + 0x04, 0xa8, 0x30, 0x82, 0x04, 0xa4, 0x02, 0x01, 0x00, 0x02, 0x82, 0x01, + 0x01, 0x00, 0xae, 0x24, 0xc1, 0x99, 0x9a, 0x94, 0x8f, 0xb1, 0x7a, 0x0c, + 0x06, 0x20, 0xfb, 0x9c, 0xe4, 0x01, 0x7c, 0xac, 0xf6, 0x8e, 0xba, 0xac, + 0xd8, 0xc5, 0x54, 0x23, 0x4c, 0x05, 0xf2, 0xaa, 0x5e, 0x77, 0xfc, 0x21, + 0x3e, 0x83, 0x6a, 0x8d, 0x81, 0xab, 0xb7, 0xed, 0xfc, 0x75, 0x76, 0x3a, + 0x91, 0x04, 0x0b, 0xe0, 0xe6, 0xe2, 0x56, 0x44, 0x6a, 0x4b, 0x55, 0x49, + 0x13, 0x7f, 0x8a, 0xd6, 0xd8, 0xb4, 0x1f, 0xa8, 0x58, 0xd7, 0x25, 0x8d, + 0x33, 0x5d, 0x29, 0x99, 0xdc, 0xd2, 0x78, 0x49, 0xff, 0x3e, 0x10, 0x90, + 0x96, 0x1a, 0xb2, 0x1b, 0x62, 0xe6, 0x63, 0xdd, 0x6b, 0x98, 0xb9, 0x8e, + 0x91, 0x7c, 0x07, 0x05, 0x1e, 0x8c, 0xe1, 0x5c, 0xf2, 0x23, 0xc8, 0x93, + 0x15, 0xf9, 0xad, 0x0f, 0x11, 0xb6, 0x30, 0x60, 0x3c, 0x7c, 0x90, 0xf8, + 0x03, 0xb4, 0x17, 0xe0, 0xb6, 0x84, 0xf9, 0x15, 0xf3, 0x2e, 0x0d, 0x93, + 0x2d, 0x4f, 0x86, 0xff, 0x79, 0x04, 0x98, 0xa1, 0xd3, 0x30, 0x87, 0x00, + 0x59, 0xbf, 0xfb, 0xee, 0x47, 0x56, 0x51, 0x63, 0xc6, 0x0a, 0xce, 0x1e, + 0x0d, 0xcc, 0x70, 0xa5, 0x56, 0xc0, 0xc6, 0x2e, 0xf7, 0x14, 0x53, 0xef, + 0x52, 0x2c, 0x96, 0x96, 0x1a, 0xdc, 0x35, 0x1a, 0xdd, 0x94, 0x2d, 0x4e, + 0xd3, 0xd1, 0xb2, 0x50, 0x9b, 0x01, 0x42, 0x01, 0x2a, 0x25, 0x1e, 0x98, + 0xa6, 0x81, 0xcf, 0x3f, 0xb2, 0x53, 0x10, 0x04, 0xd1, 0x75, 0x55, 0x48, + 0xfa, 0xb6, 0x2d, 0x05, 0xb1, 0xfe, 0xb4, 0xa4, 0x4d, 0xbb, 0x82, 0x63, + 0xc5, 0x5c, 0x37, 0xb7, 0x15, 0x77, 0x44, 0x1e, 0x1c, 0xd5, 0xd6, 0x2f, + 0x90, 0xe4, 0x62, 0x7e, 0x2f, 0xf6, 0xed, 0x83, 0xb3, 0x34, 0x8b, 0xca, + 0xbe, 0xb3, 0xa5, 0x42, 0xfc, 0xd9, 0x55, 0x78, 0x2a, 0x17, 0xd1, 0x22, + 0x70, 0xa3, 0x3c, 0x0f, 0xfa, 0xf1, 0x02, 0x03, 0x01, 0x00, 0x01, 0x02, + 0x82, 0x01, 0x00, 0x00, 0xdc, 0x74, 0x2b, 0xa2, 0x5e, 0x23, 0xde, 0xc4, + 0xb9, 0x27, 0x54, 0xf0, 0x41, 0x97, 0x46, 0xb8, 0x45, 0xdd, 0x05, 0xee, + 0xd4, 0xe3, 0x7b, 0xdd, 0xa8, 0x66, 0x06, 0xc2, 0x80, 0xdc, 0x02, 0x3b, + 0xb8, 0x33, 0x5d, 0xb0, 0x2a, 0xc9, 0x23, 0xc9, 0xa9, 0xf9, 0x88, 0x0a, + 0xd6, 0x0b, 0xce, 0x5e, 0xbb, 0xaa, 0xe5, 0xf4, 0x22, 0x16, 0xfa, 0x23, + 0xe4, 0x13, 0xb4, 0x06, 0x02, 0x52, 0xcf, 0x2d, 0xe2, 0x90, 0x7b, 0xe7, + 0x36, 0xe2, 0x9f, 0x38, 0xe6, 0x86, 0xa1, 0xc6, 0x25, 0x56, 0xdd, 0x33, + 0x9f, 0x9a, 0x15, 0x16, 0xe1, 0x37, 0xf4, 0xe6, 0x8a, 0x06, 0x04, 0x9a, + 0xe8, 0x4c, 0xfe, 0x60, 0x1a, 0x2d, 0xa0, 0xe9, 0xe2, 0xb7, 0xdc, 0xd1, + 0x9a, 0xae, 0x99, 0x63, 0x3a, 0x72, 0x43, 0xe4, 0x75, 0xd9, 0x5e, 0xb9, + 0x53, 0x21, 0xfb, 0x8e, 0x41, 0xac, 0x22, 0xb8, 0xb3, 0x9b, 0xd5, 0xfc, + 0x9c, 0x93, 0x05, 0x04, 0x95, 0x18, 0x1a, 0x77, 0xa1, 0x01, 0xa6, 0xc4, + 0xa3, 0x4c, 0xaa, 0xca, 0x58, 0xc7, 0x8d, 0x6e, 0x0c, 0x8f, 0xbc, 0x32, + 0xd6, 0x8e, 0xf4, 0x47, 0xf0, 0xf9, 0x7b, 0xb2, 0x6c, 0x9a, 0x27, 0xa0, + 0x19, 0xaf, 0xcc, 0xae, 0xe8, 0x0b, 0x24, 0x15, 0xf0, 0x82, 0x41, 0xee, + 0x9a, 0x1d, 0xd5, 0x16, 0x94, 0xad, 0x8f, 0xd9, 0x01, 0x48, 0x10, 0x31, + 0x72, 0x56, 0x90, 0x63, 0x24, 0xbf, 0x34, 0x3f, 0x52, 0x90, 0xe2, 0x5c, + 0xa9, 0xa8, 0x41, 0x96, 0x0a, 0x50, 0xb2, 0x40, 0x78, 0xa9, 0xb3, 0x11, + 0x5c, 0x8d, 0x0a, 0x77, 0x55, 0xe5, 0x94, 0xdd, 0x73, 0xd7, 0x95, 0xcc, + 0xe5, 0x92, 0xd7, 0xcc, 0x55, 0x06, 0x97, 0x2c, 0x47, 0x11, 0x27, 0xa8, + 0xac, 0x94, 0x9e, 0xb9, 0x9d, 0xd3, 0xa8, 0x9e, 0x55, 0x82, 0xe7, 0x30, + 0x16, 0x0a, 0x68, 0x51, 0x50, 0x7e, 0x31, 0x02, 0x81, 0x81, 0x00, 0xee, + 0x1d, 0x38, 0xe1, 0x01, 0x45, 0x19, 0xd5, 0x51, 0x83, 0xa6, 0x99, 0x3f, + 0x8f, 0xd7, 0xc0, 0x92, 0x97, 0x51, 0x3b, 0x44, 0xf3, 0x79, 0xd7, 0x61, + 0x7b, 0x60, 0xec, 0xc8, 0x31, 0x92, 0xd5, 0xa6, 0x7b, 0x01, 0x64, 0x49, + 0xfa, 0xea, 0x12, 0xa9, 0x4b, 0x4b, 0x79, 0xe3, 0x79, 0xc3, 0xf9, 0xf6, + 0x2b, 0x85, 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0x4e, 0x8e, 0xca, 0xe0, + 0x06, 0xd2, 0xd1, 0x07, 0xd0, 0xa2, 0x29, 0x6a, 0x7a, 0xb3, 0xe8, 0x78, + 0x5e, 0x8f, 0x87, 0xe5, 0x21, 0x23, 0xc9, 0x9f, 0xde, 0xe4, 0x88, 0xeb, + 0x80, 0x6a, 0xb3, 0x0e, 0x6f, 0x3f, 0x47, 0x2e, 0x74, 0x71, 0x81, 0xa2, + 0x10, 0xba, 0x38, 0xce, 0xd0, 0xdf, 0xef, 0xd7, 0x6c, 0x5b, 0x39, 0x6b, + 0x14, 0x32, 0x10, 0x6d, 0x9c, 0xe2, 0xb0, 0x21, 0xe1, 0xdc, 0xaf, 0x29, + 0x38, 0x7f, 0x2b, 0x61, 0x39, 0x1f, 0x96, 0xa1, 0xed, 0x00, 0x97, 0xb7, + 0x5b, 0x64, 0xfe, 0x11, 0x3d, 0xcd, 0x74, 0xad, 0x49, 0xd8, 0x5a, 0xa4, + 0x12, 0x2b, 0x6b, 0x70, 0x5d, 0xa5, 0x59, 0x1f, 0xa2, 0x64, 0x02, 0xb6, + 0xbd, 0x2a, 0x14, 0x3c, 0x04, 0x59, 0x2f, 0x53, 0x89, 0x77, 0x58, 0x3e, + 0x72, 0x05, 0x40, 0x49, 0x18, 0xe5}; +static const size_t kCarmichaelNonZeroShortDerLen = 1218; +static const uint8_t kDualNonZeroShortDer[] = { + 0x30, 0x82, 0x04, 0xbe, 0x02, 0x01, 0x00, 0x30, 0x0d, 0x06, 0x09, 0x2a, + 0x86, 0x48, 0x86, 0xf7, 0x0d, 0x01, 0x01, 0x01, 0x05, 0x00, 0x04, 0x82, + 0x04, 0xa8, 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0xf9, 0xe5, 0x8c, 0x76, + 0xb8, 0x7e, 0x0b, 0x13, 0xd5, 0xc5, 0xd2, 0xdd, 0x90, 0xa3, 0xe4, 0x66, + 0xf6, 0x93, 0x33, 0x36, 0x34, 0xb2, 0x96, 0x19, 0xdb, 0xc8, 0x4b, 0x82, + 0x4b, 0x30, 0x49, 0x3b, 0x15, 0x11, 0xc9, 0x37, 0xbb, 0xe1, 0x13, 0x49, + 0x21, 0x20, 0x99, 0xf0, 0xe1, 0x05, 0x6f, 0xab, 0xb3, 0x38, 0x86, 0x87, + 0x64, 0xbc, 0x8b, 0xd3, 0xd6, 0xdd, 0x20, 0x55, 0x0f, 0x1b, 0x84, 0x98, + 0x6e, 0xf7, 0x59, 0xc8, 0x6f, 0x8e, 0x9f, 0x90, 0x06, 0xb5, 0x49, 0x7b, + 0x84, 0xaa, 0x04, 0x3d, 0xf0, 0xc9, 0x8c, 0x9b, 0x12, 0x58, 0xad, 0x0d, + 0x8b, 0xf5, 0x93, 0x1e, 0x70, 0xf7, 0xf7, 0xa6, 0xce, 0x24, 0x71, 0x4e, + 0x34, 0xef, 0xd1, 0x4e, 0xbf, 0x2d, 0x6d, 0x89, 0x38, 0x09, 0x5d, 0x97, + 0xbf, 0x07, 0xf8, 0xe1, 0x5b, 0xea, 0x5b, 0x02, 0x81, 0x80, 0x4e, 0xe2, + 0x3e, 0x97, 0x7d, 0xdd, 0x18, 0x08, 0xe1, 0x04, 0x56, 0x36, 0x96, 0x74, + 0x0e, 0xc3, 0xe9, 0x93, 0x1a, 0x7f, 0x6b, 0x81, 0xf7, 0xb6, 0x0c, 0xda, + 0x5b, 0x1b, 0xc3, 0xab, 0x4f, 0x50, 0xce, 0xab, 0xe3, 0xc4, 0xcb, 0x8a, + 0x80, 0x49, 0xd2, 0xf3, 0x2d, 0xd2, 0x6a, 0xa1, 0x80, 0x27, 0x51, 0xa5, + 0x2b, 0x4a, 0x10, 0xca, 0xa0, 0xe9, 0x9b, 0xe4, 0xfc, 0xee, 0xb5, 0x47, + 0xde, 0xc1, 0xef, 0xef, 0x9f, 0x01, 0xf9, 0xc7, 0xf3, 0xf0, 0x34, 0x44, + 0xc4, 0x5a, 0x82, 0x24, 0x8b, 0xe8, 0xfe, 0x8b, 0x06, 0x47, 0xd2, 0xc2, + 0x71, 0x64, 0x31, 0x77, 0x9b, 0x26, 0xcc, 0x05, 0x29, 0x5f, 0x4e, 0x28, + 0xd8, 0xb2, 0xe7, 0x34, 0x04, 0x4b, 0xb2, 0xd6, 0x09, 0x9c, 0x05, 0x64, + 0x80, 0xee, 0x61, 0x94, 0x26, 0x51, 0x5d, 0x0c, 0x2c, 0xab, 0x24, 0x6a, + 0x0a, 0xce, 0x2e, 0xfd, 0xcd, 0x29, 0x02, 0x81, 0x81, 0x00, 0xa0, 0x68, + 0xbb, 0x0c, 0x96, 0x49, 0x19, 0x58, 0xd3, 0xc4, 0xfa, 0xee, 0x0b, 0x0d, + 0xd1, 0xf5, 0x1a, 0xec, 0xaf, 0xe5, 0xbb, 0x1a, 0xba, 0x83, 0x91, 0x7f, + 0x96, 0x1a, 0xda, 0x8f, 0xf0, 0x51, 0xc8, 0x79, 0xac, 0x08, 0x03, 0x70, + 0xa0, 0x24, 0x45, 0xa7, 0x3d, 0x24, 0xa7, 0x1c, 0x59, 0x90, 0x88, 0x4a, + 0x79, 0x6a, 0x37, 0x36, 0x95, 0x75, 0xce, 0xa9, 0x3e, 0xdb, 0x64, 0x90, + 0x20, 0x7b, 0x52, 0xaa, 0x18, 0xf5, 0x56, 0x3e, 0x7f, 0xdb, 0x45, 0xbb, + 0x3d, 0xd2, 0x09, 0x06, 0xf0, 0x7d, 0xf5, 0x3e, 0x66, 0x04, 0xbf, 0x82, + 0xf7, 0x17, 0xec, 0xd2, 0x43, 0xbc, 0xf0, 0x66, 0x7d, 0x5e, 0xf7, 0x55, + 0x50, 0x18, 0xd1, 0x03, 0xd3, 0x66, 0xb8, 0xc6, 0x17, 0xcd, 0x1d, 0xcc, + 0x45, 0xd6, 0x45, 0xbb, 0xe4, 0xca, 0x3d, 0x06, 0x8a, 0x88, 0x9d, 0x03, + 0x50, 0x6f, 0xb1, 0xdf, 0x4a, 0x35}; +static const size_t kDualNonZeroShortDerLen = 1218; +static const uint8_t kEulerZeroNormalDer[] = { + 0x30, 0x82, 0x04, 0xba, 0x02, 0x01, 0x00, 0x30, 0x0d, 0x06, 0x09, 0x2a, + 0x86, 0x48, 0x86, 0xf7, 0x0d, 0x01, 0x01, 0x01, 0x05, 0x00, 0x04, 0x82, + 0x04, 0xa4, 0x30, 0x82, 0x04, 0xa0, 0x02, 0x01, 0x00, 0x02, 0x82, 0x01, + 0x01, 0x00, 0xad, 0x3e, 0x17, 0x24, 0xfa, 0x26, 0x31, 0xd6, 0xb0, 0x88, + 0xe1, 0xdc, 0xce, 0xb8, 0x62, 0x51, 0xf1, 0x8c, 0xa9, 0xd3, 0x10, 0x18, + 0xbc, 0x32, 0x88, 0x1b, 0x47, 0xa8, 0x2c, 0xfa, 0xa0, 0xe4, 0x26, 0x34, + 0x32, 0x8c, 0xb5, 0x98, 0xaa, 0x4a, 0x2b, 0xc3, 0xf9, 0x1f, 0x5f, 0xca, + 0xd1, 0x4a, 0x3f, 0x0f, 0x61, 0x91, 0x3c, 0x70, 0xbd, 0x5b, 0x4b, 0x71, + 0xe0, 0x86, 0x13, 0xe5, 0x77, 0x65, 0x3b, 0x35, 0x11, 0x4a, 0xad, 0x9a, + 0x9b, 0x32, 0xd0, 0xc8, 0x8b, 0x4d, 0xf2, 0x65, 0xbe, 0xac, 0x44, 0xde, + 0xf1, 0xf4, 0x6a, 0x7a, 0xd9, 0x62, 0xa2, 0xf4, 0x16, 0x96, 0x58, 0x13, + 0xbd, 0x76, 0x1e, 0xba, 0x60, 0x9f, 0xb2, 0x12, 0x51, 0x8a, 0xa9, 0xde, + 0xaf, 0x65, 0x3e, 0xeb, 0xbe, 0xf2, 0x39, 0x8a, 0x1a, 0x01, 0x74, 0x48, + 0x7d, 0x4c, 0x76, 0xd3, 0x90, 0xdb, 0x0d, 0x5e, 0x3b, 0x39, 0x99, 0x2d, + 0xd7, 0x95, 0x43, 0xf1, 0xee, 0x20, 0x33, 0x70, 0xc7, 0x4c, 0xc9, 0x66, + 0xae, 0xd2, 0x1d, 0xe2, 0xb8, 0x33, 0xe3, 0x79, 0xec, 0x46, 0x1b, 0xe6, + 0xbc, 0x5a, 0xc2, 0x95, 0xa9, 0xa1, 0xd0, 0xd2, 0x2b, 0x91, 0x75, 0x6a, + 0xe0, 0xe8, 0xd4, 0x89, 0xed, 0xb9, 0xbb, 0x9b, 0x24, 0xe7, 0x6d, 0xb2, + 0x91, 0x3a, 0x00, 0xd2, 0x1b, 0xd0, 0x32, 0x9e, 0xab, 0x60, 0x3a, 0x25, + 0xe7, 0xf3, 0x51, 0xfe, 0x19, 0x87, 0xc4, 0x24, 0xd6, 0x36, 0xa0, 0x8d, + 0xb1, 0x8c, 0xd9, 0x4a, 0x6f, 0xd8, 0x48, 0x69, 0x44, 0x93, 0xc6, 0x1e, + 0x2f, 0x74, 0xc7, 0x7a, 0x8c, 0x90, 0xbf, 0x8c, 0x5d, 0xb0, 0x6f, 0xe4, + 0x43, 0xf4, 0x91, 0x22, 0x9d, 0x7f, 0x77, 0x50, 0x13, 0x2d, 0x4b, 0xa3, + 0x53, 0x79, 0x10, 0x35, 0xc1, 0x8e, 0xbe, 0x44, 0x33, 0xe0, 0x75, 0xfb, + 0xc3, 0x83, 0x3d, 0x75, 0x5d, 0xc5, 0x02, 0x03, 0x01, 0x00, 0x01, 0x02, + 0x81, 0xff, 0x27, 0xc1, 0xd8, 0x0d, 0xe4, 0x5a, 0x5f, 0x95, 0xa5, 0x6d, + 0xc4, 0x67, 0xa8, 0x09, 0x28, 0x87, 0x25, 0xa7, 0xe2, 0x51, 0x4d, 0xa0, + 0x5f, 0x90, 0x39, 0x2c, 0x09, 0x85, 0xce, 0xcc, 0xb5, 0x9f, 0xa6, 0x24, + 0xd4, 0x74, 0xf6, 0x37, 0xd2, 0xdc, 0xb2, 0xae, 0x86, 0xbd, 0x6c, 0x7e, + 0x5f, 0x09, 0x6a, 0xef, 0x5c, 0xb4, 0xb7, 0xea, 0x27, 0x8a, 0x8c, 0x05, + 0xd6, 0x40, 0xee, 0xcf, 0xfa, 0x56, 0x80, 0xff, 0xec, 0xb7, 0xf6, 0x9f, + 0x44, 0x7e, 0xa4, 0xeb, 0x61, 0x0c, 0xc2, 0x54, 0x17, 0x2d, 0xf1, 0xa0, + 0x38, 0x66, 0x9f, 0x09, 0x12, 0x5a, 0x50, 0x8b, 0x33, 0xa3, 0xcd, 0x12, + 0xba, 0xa8, 0x20, 0xe5, 0x24, 0xc7, 0x81, 0x56, 0x32, 0xe0, 0x5f, 0x9b, + 0x7b, 0x25, 0x01, 0x0b, 0x99, 0x06, 0x7d, 0xad, 0xf3, 0xc9, 0xe1, 0xa5, + 0xc1, 0x1b, 0x8b, 0x29, 0x82, 0x54, 0xc2, 0xfc, 0x9d, 0x1a, 0x7a, 0x1b, + 0xa2, 0xac, 0x14, 0xc8, 0xc4, 0x54, 0xe2, 0x8d, 0x72, 0x42, 0x19, 0x89, + 0xcb, 0x8e, 0x8a, 0xb1, 0x4c, 0x55, 0xe2, 0x20, 0xde, 0xc6, 0x70, 0xf2, + 0x1a, 0xd6, 0x29, 0x44, 0x80, 0x46, 0xc6, 0xa3, 0xf4, 0x43, 0xb6, 0xce, + 0x00, 0xdc, 0x0a, 0x7d, 0xfc, 0x38, 0xb9, 0x37, 0x52, 0x70, 0x90, 0x06, + 0x91, 0x2e, 0x40, 0xcd, 0x73, 0xc1, 0xdd, 0x42, 0x5e, 0xfa, 0x01, 0x5a, + 0xc2, 0xb4, 0xcc, 0xb4, 0x63, 0x00, 0xe7, 0x8c, 0x0c, 0x21, 0xd3, 0xd0, + 0xab, 0x28, 0x03, 0x20, 0x6f, 0xa5, 0xec, 0x73, 0xed, 0xde, 0x30, 0xef, + 0xb0, 0x17, 0x9b, 0xcd, 0x37, 0x58, 0x38, 0x96, 0xdc, 0x94, 0x9b, 0x64, + 0x82, 0xda, 0x3c, 0xe2, 0xe8, 0x3d, 0x16, 0x6a, 0xc2, 0x53, 0xfb, 0x35, + 0x34, 0xc2, 0xf6, 0x1a, 0x3f, 0x5a, 0xd1, 0x40, 0xe1, 0x5a, 0xe0, 0xa9, + 0x79, 0x51, 0x7d, 0x78, 0x31, 0x02, 0x81, 0x81, 0x00, 0xd8, 0x1e, 0x04, + 0xfb, 0xae, 0x02, 0x96, 0xb2, 0x98, 0xc6, 0x07, 0x00, 0xd5, 0x0f, 0x12, + 0xd7, 0xc0, 0x73, 0x52, 0xcf, 0xea, 0x3d, 0x0a, 0x71, 0x98, 0x8a, 0x52, + 0x5e, 0xd1, 0x81, 0xa0, 0xac, 0x19, 0xc8, 0x5a, 0xe4, 0xcb, 0xa0, 0x7b, + 0x62, 0xd0, 0x9f, 0x2d, 0x1e, 0x09, 0xea, 0xdf, 0x29, 0x4e, 0x90, 0x15, + 0xca, 0xf6, 0x18, 0xc7, 0x93, 0x5c, 0x47, 0xf1, 0xc0, 0xc0, 0xf6, 0x11, + 0xe5, 0x3d, 0x93, 0x97, 0x3a, 0xdf, 0x05, 0x0e, 0xe6, 0xda, 0x07, 0x5c, + 0x4f, 0xc6, 0x7d, 0xc9, 0xab, 0x0b, 0xa3, 0x61, 0xc8, 0x4c, 0x6b, 0xde, + 0x78, 0xad, 0x85, 0xd1, 0x61, 0x11, 0xcc, 0x19, 0xa3, 0x7c, 0xb3, 0xc5, + 0x22, 0xff, 0x50, 0xc7, 0x16, 0x46, 0x05, 0x08, 0x62, 0xe6, 0xee, 0xfb, + 0xfd, 0x60, 0xe5, 0x69, 0xeb, 0x14, 0xd0, 0x6e, 0x7f, 0x2a, 0x0b, 0x4c, + 0x7f, 0x0d, 0x3b, 0x3a, 0xb5, 0x02, 0x81, 0x81, 0x00, 0xcd, 0x36, 0x8c, + 0xbf, 0xdb, 0xd8, 0x09, 0x94, 0x28, 0xc9, 0xfd, 0x09, 0x4d, 0x77, 0xa8, + 0xa2, 0xd6, 0x5b, 0x65, 0x44, 0xae, 0x3a, 0xb0, 0x23, 0xc4, 0xd9, 0x7d, + 0x73, 0xb3, 0x9e, 0xc4, 0x23, 0x59, 0xb7, 0x1c, 0x41, 0x2c, 0x36, 0x62, + 0xa1, 0x0e, 0x5e, 0x1c, 0x45, 0xd0, 0x76, 0x56, 0x7e, 0x5a, 0x1c, 0x78, + 0x5b, 0x20, 0x95, 0x93, 0x28, 0xf0, 0x69, 0x4e, 0xed, 0x5b, 0x6b, 0xae, + 0x92, 0xb8, 0x35, 0x68, 0x56, 0x85, 0x0a, 0x33, 0x77, 0x89, 0xc0, 0x16, + 0x2e, 0x1f, 0xba, 0x5a, 0xe7, 0x0a, 0x38, 0xe9, 0x05, 0xc6, 0xce, 0x13, + 0xdb, 0x37, 0xd4, 0xd0, 0x56, 0x14, 0x70, 0x61, 0xd0, 0x15, 0x13, 0xa8, + 0x3c, 0x54, 0xdd, 0x30, 0x48, 0x88, 0xda, 0x6a, 0xad, 0x05, 0xc6, 0x0b, + 0x5c, 0x73, 0xfd, 0xba, 0xf5, 0x14, 0xd3, 0xdc, 0xdf, 0xa0, 0xd5, 0xe0, + 0xc5, 0x29, 0x86, 0xb0, 0xd1, 0x02, 0x81, 0x80, 0x3f, 0x3f, 0xa9, 0xdd, + 0xae, 0x73, 0x7b, 0x7f, 0x11, 0x4f, 0x03, 0x45, 0xaf, 0x15, 0x16, 0x42, + 0xa6, 0x44, 0x19, 0xfc, 0x57, 0x65, 0x3d, 0xe5, 0x38, 0xeb, 0x62, 0x67, + 0xf5, 0x90, 0xa6, 0x61, 0x37, 0xba, 0x77, 0x3f, 0x76, 0x88, 0xa5, 0x13, + 0xaa, 0x52, 0xab, 0x75, 0x9b, 0x19, 0x6d, 0xee, 0x3c, 0xdb, 0xd6, 0x44, + 0xeb, 0xf9, 0x1c, 0x8f, 0x77, 0xf6, 0x66, 0x3e, 0x2f, 0x3a, 0xd4, 0xc9, + 0xee, 0x57, 0x7f, 0x6e, 0xef, 0x4e, 0x1f, 0xaa, 0x58, 0x2c, 0xc7, 0x4b, + 0x61, 0x9f, 0xf6, 0xa1, 0x64, 0x6a, 0x90, 0x77, 0x7a, 0x46, 0x27, 0x79, + 0xd1, 0xee, 0xd3, 0xf4, 0x40, 0xad, 0x26, 0xe3, 0xbd, 0xdf, 0x2e, 0xd6, + 0xab, 0x3a, 0x0c, 0xc9, 0xeb, 0xfc, 0x15, 0x14, 0x3c, 0xd9, 0xbc, 0x4d, + 0xcf, 0x49, 0xd4, 0xd1, 0xc3, 0xe9, 0xac, 0x2c, 0xf3, 0x35, 0x13, 0x52, + 0x2b, 0xa1, 0x25, 0xf1, 0x02, 0x81, 0x80, 0x4a, 0xaa, 0xfc, 0x8f, 0x9a, + 0xc8, 0x82, 0xc3, 0xbc, 0x0b, 0xb2, 0xdc, 0x3d, 0xa9, 0xba, 0x5c, 0x75, + 0xae, 0x8f, 0xac, 0x6b, 0xd0, 0xc2, 0xe2, 0x60, 0xef, 0xd9, 0xeb, 0xcd, + 0x81, 0x89, 0x50, 0x6b, 0x86, 0x6a, 0xeb, 0x73, 0xd0, 0xde, 0x16, 0x48, + 0x0a, 0x0a, 0x33, 0x84, 0xe4, 0x6a, 0x18, 0x53, 0x65, 0x64, 0x8d, 0x93, + 0xcf, 0x98, 0xda, 0x1e, 0x8f, 0xd2, 0xbe, 0x1e, 0xb3, 0x91, 0xb3, 0xa4, + 0xff, 0x19, 0xd5, 0xd1, 0x56, 0xa2, 0xdf, 0x6d, 0xe9, 0xcc, 0xa8, 0x3f, + 0xb7, 0x28, 0xf8, 0x44, 0x09, 0xed, 0x0f, 0xc3, 0x04, 0x9c, 0xc8, 0xf9, + 0x09, 0xa0, 0x3c, 0x91, 0xf7, 0x4a, 0x3f, 0xd2, 0x4b, 0x72, 0xbd, 0x71, + 0x0b, 0x82, 0x54, 0x02, 0x27, 0xa7, 0x05, 0x09, 0xc2, 0xc3, 0xc3, 0x82, + 0x18, 0xe2, 0x7b, 0xe6, 0x76, 0x28, 0x39, 0xde, 0x65, 0xb4, 0x01, 0x49, + 0x58, 0xce, 0xe1, 0x02, 0x81, 0x80, 0x6f, 0xe3, 0x70, 0xb3, 0xc7, 0x1f, + 0x92, 0x8e, 0xb9, 0x97, 0x72, 0xa9, 0x3c, 0x23, 0x81, 0xf9, 0x27, 0xc9, + 0xf4, 0x9e, 0x2a, 0x51, 0x71, 0xbe, 0x62, 0xa8, 0x7c, 0x4b, 0xbd, 0xf5, + 0x62, 0xb7, 0xc9, 0xde, 0x8f, 0x69, 0xf6, 0xe7, 0xdb, 0x22, 0x44, 0x15, + 0xd3, 0xc4, 0x0b, 0xfe, 0x91, 0xbe, 0x85, 0xb1, 0x5f, 0x09, 0xec, 0x47, + 0x83, 0x04, 0x25, 0xf3, 0x1b, 0x30, 0x9c, 0xe9, 0x15, 0x16, 0x4b, 0x3f, + 0xf2, 0x0b, 0x13, 0xeb, 0x3f, 0x89, 0xe8, 0x6d, 0x94, 0x99, 0x18, 0xfb, + 0x8f, 0x9a, 0x11, 0x60, 0x6b, 0xe6, 0x24, 0xd1, 0x93, 0x1d, 0x62, 0x1a, + 0xc7, 0x98, 0x74, 0xa3, 0x24, 0x1d, 0x7c, 0x02, 0xd6, 0x75, 0x93, 0x00, + 0x23, 0xb8, 0xdb, 0x46, 0xc5, 0x70, 0x0d, 0xe6, 0x7a, 0xc1, 0x82, 0x4b, + 0xfb, 0x5f, 0x9d, 0x10, 0xd2, 0x9f, 0x11, 0x35, 0x78, 0xe0, 0x9f, 0x20, + 0x57, 0x9e}; +static const size_t kEulerZeroNormalDerLen = 1214; +static const uint8_t kCarmichaelZeroNormalDer[] = { + 0x30, 0x82, 0x04, 0xbd, 0x02, 0x01, 0x00, 0x30, 0x0d, 0x06, 0x09, 0x2a, + 0x86, 0x48, 0x86, 0xf7, 0x0d, 0x01, 0x01, 0x01, 0x05, 0x00, 0x04, 0x82, + 0x04, 0xa7, 0x30, 0x82, 0x04, 0xa3, 0x02, 0x01, 0x00, 0x02, 0x82, 0x01, + 0x01, 0x00, 0xc6, 0x48, 0x8a, 0x9f, 0x49, 0x5f, 0xc9, 0x2f, 0x7e, 0xae, + 0x3f, 0x2b, 0xa1, 0x0d, 0x9d, 0xd2, 0x85, 0x03, 0x1d, 0x21, 0xc7, 0x15, + 0x4d, 0xce, 0x17, 0x79, 0xb7, 0x1a, 0xa7, 0x4c, 0x80, 0x74, 0x38, 0xee, + 0xc4, 0x45, 0x72, 0x28, 0x27, 0x7e, 0x92, 0x90, 0x49, 0x51, 0x99, 0x64, + 0x3f, 0x0c, 0xee, 0x64, 0xaf, 0xf9, 0x68, 0x30, 0xe7, 0x6e, 0xa7, 0xdf, + 0x6a, 0x90, 0xed, 0x75, 0x69, 0xb6, 0xb6, 0x92, 0x54, 0x4a, 0xca, 0x67, + 0x3d, 0xd9, 0x45, 0xa1, 0xf8, 0xbc, 0x67, 0xff, 0xcd, 0x4c, 0xb0, 0xbf, + 0x22, 0x8f, 0x69, 0x24, 0x37, 0xcc, 0x72, 0x42, 0x1d, 0xdc, 0xa3, 0xa3, + 0x4f, 0x0d, 0x01, 0x6f, 0x19, 0xce, 0xb5, 0xcb, 0x15, 0xab, 0xb7, 0xb8, + 0xa8, 0x1c, 0xd0, 0x24, 0x46, 0x8c, 0x05, 0xef, 0x8c, 0xb9, 0x14, 0xbc, + 0x33, 0x0c, 0x6a, 0x46, 0x25, 0x41, 0x8f, 0x4b, 0x6a, 0xf6, 0x4d, 0xe0, + 0x29, 0xec, 0x32, 0xdc, 0xd5, 0xe2, 0x5f, 0x98, 0x65, 0xf0, 0x69, 0x31, + 0x70, 0xe8, 0xf8, 0xd2, 0xb1, 0xf6, 0x79, 0x71, 0x1f, 0xd4, 0x29, 0x62, + 0x76, 0x57, 0x2b, 0xfe, 0xe8, 0x4b, 0x28, 0xa8, 0xfe, 0x58, 0x2d, 0x1c, + 0x2e, 0x53, 0x63, 0x61, 0x97, 0xe4, 0x4a, 0x7b, 0x89, 0x65, 0x1c, 0x69, + 0x3a, 0x57, 0xb2, 0x2e, 0x2a, 0x6a, 0xa8, 0x1a, 0x6e, 0x37, 0x98, 0x29, + 0x7f, 0x53, 0xe4, 0x9c, 0xbe, 0xc4, 0x23, 0x07, 0x45, 0x8d, 0x6b, 0xb3, + 0xfd, 0x44, 0xc8, 0x1a, 0xe8, 0x21, 0x28, 0x7a, 0xe7, 0x34, 0x0b, 0x27, + 0x24, 0x14, 0x49, 0xa1, 0x53, 0x74, 0xfc, 0x94, 0x46, 0x47, 0x57, 0x7f, + 0x5a, 0x3d, 0x26, 0x05, 0x7a, 0xa6, 0xa3, 0xcb, 0x7d, 0x21, 0x38, 0x01, + 0x3e, 0x17, 0xa5, 0x85, 0x97, 0x3e, 0xab, 0xe0, 0x90, 0x5e, 0x54, 0x5a, + 0xca, 0x0c, 0xd9, 0x45, 0xe7, 0x51, 0x02, 0x03, 0x01, 0x00, 0x01, 0x02, + 0x82, 0x01, 0x00, 0x06, 0x2c, 0x90, 0x14, 0x71, 0xa6, 0x72, 0x8f, 0x46, + 0x09, 0xe0, 0x47, 0x02, 0xd6, 0xcd, 0x09, 0x41, 0xc1, 0xb2, 0x65, 0xdb, + 0x85, 0xc5, 0xa1, 0xc5, 0xdd, 0x5b, 0xb4, 0x3a, 0xc2, 0xb3, 0xba, 0x95, + 0x63, 0x3f, 0x3d, 0x4d, 0x01, 0x59, 0xbe, 0xce, 0x8a, 0xd6, 0x48, 0x47, + 0x81, 0xca, 0xec, 0xce, 0x27, 0x83, 0x20, 0x92, 0xfb, 0xf8, 0x2e, 0x31, + 0x3a, 0xa5, 0xb3, 0x7e, 0xe6, 0xb4, 0x5f, 0x4f, 0x6e, 0xb3, 0x02, 0x8e, + 0x81, 0x89, 0xcd, 0x7a, 0xd0, 0xeb, 0xa6, 0x82, 0x33, 0xd6, 0xe2, 0xad, + 0x1b, 0x91, 0x29, 0xec, 0xae, 0x32, 0x06, 0x98, 0x5a, 0xdd, 0x59, 0xd7, + 0x71, 0x3d, 0xae, 0xe6, 0xa7, 0xdc, 0xf7, 0xdb, 0x75, 0x48, 0x11, 0x76, + 0xc1, 0x0b, 0x35, 0xb5, 0x22, 0xcc, 0x07, 0x8e, 0xcf, 0xc2, 0x0e, 0xa9, + 0x49, 0xf5, 0x94, 0xf7, 0x62, 0x2e, 0x70, 0x22, 0x29, 0x73, 0xaf, 0xca, + 0xfc, 0x82, 0xea, 0xc9, 0x78, 0xcf, 0x55, 0xe2, 0x0f, 0x96, 0x79, 0xfd, + 0xec, 0x7b, 0xbc, 0x4f, 0x0c, 0x5b, 0xeb, 0x65, 0xe3, 0xf0, 0xb8, 0x95, + 0x63, 0x1a, 0x68, 0x19, 0xd7, 0xa6, 0x2f, 0x72, 0x83, 0x8f, 0x70, 0x01, + 0xed, 0x9a, 0x9a, 0x3f, 0x9c, 0x36, 0x04, 0x0d, 0x4a, 0xac, 0x81, 0x9f, + 0x82, 0xae, 0x49, 0x85, 0x23, 0x57, 0x3c, 0x27, 0x1d, 0x33, 0x57, 0x7d, + 0xae, 0xc5, 0x16, 0x00, 0xab, 0x55, 0x7b, 0x4b, 0x7f, 0xdc, 0xae, 0x49, + 0x6b, 0xe9, 0x0e, 0x3d, 0x3b, 0x6b, 0x1d, 0xd9, 0x95, 0x09, 0x5e, 0x3d, + 0xc5, 0x37, 0x59, 0x12, 0xe8, 0x12, 0x04, 0x0e, 0x89, 0xa7, 0x8c, 0x58, + 0x7b, 0x75, 0xc8, 0xc9, 0x3c, 0x66, 0xab, 0x32, 0x92, 0x36, 0xaa, 0x98, + 0x5b, 0x20, 0x8c, 0x93, 0xe6, 0x10, 0x33, 0x14, 0xc1, 0x6a, 0x18, 0xbe, + 0x42, 0xde, 0x1a, 0x41, 0x3a, 0xf7, 0x21, 0x02, 0x81, 0x81, 0x00, 0xe8, + 0xbd, 0x58, 0x44, 0xae, 0xa6, 0xda, 0x65, 0x2d, 0xda, 0xe5, 0x6e, 0x5b, + 0x8e, 0xd0, 0x88, 0x83, 0x13, 0xe9, 0x97, 0x33, 0x2f, 0xe2, 0xcd, 0xb3, + 0xfe, 0x96, 0xbf, 0xf7, 0xc7, 0x22, 0x35, 0xfd, 0xcd, 0xce, 0xe0, 0xc7, + 0xae, 0xa8, 0x75, 0x01, 0x25, 0x88, 0x1e, 0x94, 0xd8, 0xdb, 0x4e, 0x73, + 0xc5, 0xe7, 0xfd, 0x41, 0x70, 0xd9, 0x32, 0x96, 0x45, 0x22, 0x58, 0x38, + 0x87, 0x18, 0x51, 0x24, 0x6d, 0x7b, 0xa1, 0x94, 0x3b, 0x98, 0x98, 0xf9, + 0x1d, 0x5f, 0x3d, 0xd9, 0x61, 0x9a, 0x33, 0x1c, 0xd0, 0x54, 0x21, 0x0b, + 0x02, 0xe1, 0x07, 0xd4, 0xd1, 0x34, 0x1d, 0xcb, 0xaa, 0xe8, 0x59, 0x9b, + 0x32, 0x69, 0x7f, 0x2b, 0x99, 0x60, 0xfa, 0xe0, 0xa8, 0x3e, 0x58, 0xe0, + 0x5e, 0x43, 0x2a, 0x5f, 0x75, 0xcf, 0x0c, 0x98, 0x44, 0xbf, 0x99, 0xd1, + 0x9d, 0x8f, 0xb1, 0x3d, 0x35, 0x64, 0x15, 0x02, 0x81, 0x81, 0x00, 0xda, + 0x19, 0xa1, 0xa7, 0x4c, 0xe5, 0x82, 0x8d, 0x7e, 0xaa, 0x48, 0x5c, 0x08, + 0xa4, 0x2c, 0xb2, 0x67, 0xc7, 0x46, 0x85, 0x59, 0xe8, 0x6d, 0x62, 0x05, + 0xdc, 0xff, 0xe3, 0x9c, 0xf5, 0x1d, 0x6c, 0xcf, 0x7c, 0x84, 0xe8, 0xe1, + 0xc1, 0x41, 0xa4, 0x91, 0x18, 0x50, 0x4d, 0xc8, 0x87, 0x70, 0xea, 0x6a, + 0x35, 0xb4, 0x58, 0x81, 0x5b, 0xab, 0xc5, 0xf3, 0x63, 0x6a, 0x3a, 0x67, + 0xa1, 0x62, 0xd0, 0xda, 0x47, 0x14, 0x23, 0x5a, 0xcc, 0x52, 0x72, 0x0d, + 0x1d, 0xf5, 0x7c, 0xfc, 0x66, 0x21, 0x31, 0xc8, 0xbb, 0x84, 0x31, 0xcd, + 0x46, 0xff, 0x1a, 0x39, 0x4a, 0x47, 0x22, 0x44, 0x04, 0x1e, 0x5e, 0x22, + 0x5b, 0x60, 0x1c, 0x30, 0x22, 0x03, 0x79, 0x98, 0x24, 0x02, 0x8c, 0x95, + 0x79, 0xe2, 0xf6, 0x15, 0x23, 0xc2, 0x07, 0xce, 0x4c, 0x6c, 0xb9, 0x17, + 0x7c, 0xb3, 0x91, 0x78, 0x1d, 0xd9, 0x4d, 0x02, 0x81, 0x81, 0x00, 0x8a, + 0x0f, 0x27, 0xb9, 0x36, 0x51, 0x4b, 0xe4, 0x11, 0x1b, 0x74, 0x55, 0xce, + 0x82, 0x1d, 0x39, 0x9d, 0x67, 0xc6, 0x7d, 0x26, 0xa4, 0x15, 0x4a, 0x28, + 0xa7, 0xb1, 0x0d, 0x17, 0x12, 0x4d, 0x3c, 0xf1, 0xdd, 0x90, 0x06, 0xce, + 0xec, 0xd0, 0x88, 0xf7, 0xb1, 0x27, 0xd9, 0xdc, 0x39, 0xf7, 0x7d, 0xc6, + 0x37, 0x73, 0xb2, 0x4b, 0x8b, 0x81, 0x8b, 0xfc, 0x8f, 0xee, 0x1b, 0x9f, + 0x0c, 0xa4, 0x64, 0x1d, 0xd3, 0xc4, 0x2e, 0xc9, 0x1b, 0xc1, 0x1d, 0x9d, + 0x48, 0xcb, 0x22, 0x89, 0x3c, 0xd8, 0x97, 0xd1, 0x53, 0xd3, 0x53, 0xf6, + 0x90, 0x32, 0xa4, 0xce, 0x9d, 0x7a, 0xe8, 0xe1, 0xd3, 0xf4, 0x18, 0x93, + 0x73, 0x88, 0x19, 0x23, 0xe7, 0xcc, 0x1b, 0x86, 0x00, 0xc7, 0x5b, 0x39, + 0x5d, 0x31, 0x42, 0x85, 0x76, 0x00, 0xe8, 0x5b, 0xbb, 0x0c, 0x5d, 0x56, + 0x76, 0xbc, 0xb2, 0x4a, 0xb8, 0xcd, 0x31, 0x02, 0x81, 0x80, 0x50, 0xe4, + 0xf8, 0xe4, 0x88, 0xcd, 0x07, 0xe3, 0x5b, 0x7b, 0xe5, 0x62, 0xdd, 0x81, + 0xa7, 0x62, 0x74, 0xc3, 0xa1, 0x10, 0x8d, 0x0c, 0x7c, 0xa5, 0xc2, 0xee, + 0xf9, 0xaa, 0x7e, 0xe9, 0x1b, 0x84, 0xe4, 0x60, 0x97, 0x1b, 0x99, 0xc0, + 0x88, 0x8c, 0x75, 0x94, 0xc3, 0x14, 0x56, 0xb0, 0x85, 0xdd, 0x2c, 0x8f, + 0xc6, 0xd8, 0x9d, 0x02, 0x57, 0x70, 0x10, 0x9a, 0x6b, 0x28, 0x46, 0x8f, + 0xc1, 0x8b, 0x1d, 0xab, 0x07, 0x79, 0x25, 0x90, 0x6b, 0x74, 0x0a, 0x11, + 0x76, 0xa0, 0x69, 0x2d, 0xa8, 0x5a, 0x42, 0xcd, 0xea, 0x76, 0x5e, 0x61, + 0x5a, 0xf5, 0x6b, 0x12, 0x75, 0xd7, 0xeb, 0xca, 0x6b, 0x49, 0x17, 0x0d, + 0x35, 0x54, 0xbf, 0x35, 0x9e, 0x7c, 0x57, 0x45, 0xe3, 0xfc, 0x28, 0xe5, + 0x10, 0x9d, 0x9d, 0xb1, 0xa9, 0xa2, 0x23, 0x8e, 0x8d, 0x35, 0x09, 0xd5, + 0x22, 0xf5, 0x6d, 0xcc, 0x04, 0x71, 0x02, 0x81, 0x80, 0x03, 0xc9, 0xbb, + 0x95, 0x94, 0x6a, 0x6b, 0x0c, 0x47, 0xd0, 0x20, 0x73, 0xdb, 0x99, 0x9d, + 0x2c, 0x31, 0x6b, 0x35, 0xbc, 0x2c, 0x15, 0xb1, 0xe3, 0x3e, 0xaf, 0x2c, + 0x25, 0x1d, 0xb2, 0xaa, 0xa9, 0xca, 0x9c, 0x95, 0x34, 0xc4, 0x5b, 0x08, + 0xad, 0x66, 0x8c, 0x3e, 0xce, 0x7d, 0x9b, 0x14, 0x97, 0x70, 0x09, 0x50, + 0x2b, 0xf3, 0x2e, 0xc7, 0xaf, 0x70, 0xf8, 0x46, 0x81, 0xc2, 0x07, 0x10, + 0x03, 0x64, 0x37, 0x75, 0x72, 0xca, 0x9b, 0x05, 0x36, 0x89, 0xa9, 0x27, + 0x5f, 0xf0, 0xb6, 0xcf, 0x27, 0x4c, 0x19, 0xf1, 0x7a, 0xd2, 0x54, 0xb9, + 0x03, 0x08, 0x4f, 0xc3, 0x08, 0x94, 0x5a, 0xf2, 0x98, 0xf2, 0x0e, 0x04, + 0x99, 0xcb, 0x28, 0x57, 0x44, 0xa3, 0x2d, 0x95, 0x41, 0xc5, 0xe9, 0x7c, + 0xba, 0xff, 0x3e, 0xf1, 0x1d, 0x6f, 0xa3, 0xec, 0x80, 0xe9, 0x07, 0xc2, + 0x01, 0xe0, 0x79, 0xc9, 0x27}; +static const size_t kCarmichaelZeroNormalDerLen = 1217; +static const uint8_t kDualZeroNormalDer[] = { + 0x30, 0x82, 0x04, 0xbd, 0x02, 0x01, 0x00, 0x30, 0x0d, 0x06, 0x09, 0x2a, + 0x86, 0x48, 0x86, 0xf7, 0x0d, 0x01, 0x01, 0x01, 0x05, 0x00, 0x04, 0x82, + 0x04, 0xa7, 0x30, 0x82, 0x04, 0xa3, 0x02, 0x01, 0x00, 0x02, 0x82, 0x01, + 0x01, 0x00, 0xa2, 0x15, 0xe1, 0xe4, 0xbd, 0xa8, 0xac, 0xc1, 0x1d, 0x0e, + 0xb1, 0x39, 0x4c, 0x50, 0x2f, 0xf0, 0xd8, 0x91, 0xf2, 0xaa, 0x1a, 0xa7, + 0x5e, 0x16, 0x38, 0xb4, 0x6c, 0xf1, 0x5f, 0xed, 0x90, 0x93, 0x62, 0xb5, + 0x94, 0x0b, 0x08, 0xbf, 0xb8, 0x62, 0x3a, 0x3a, 0xe8, 0xb9, 0xcf, 0x4d, + 0xff, 0x52, 0xe9, 0xd8, 0x45, 0x70, 0xcb, 0xb2, 0xa2, 0x5d, 0x8e, 0x6e, + 0x9c, 0xc6, 0x15, 0x0b, 0x1f, 0x0e, 0x41, 0x6f, 0xf5, 0xc0, 0x82, 0x34, + 0xd6, 0xcc, 0xa0, 0x0a, 0xb7, 0xc1, 0xcc, 0x56, 0xbb, 0x14, 0x5a, 0x3d, + 0xdd, 0x21, 0xce, 0xec, 0x4f, 0xe2, 0x7d, 0x86, 0xcc, 0x0e, 0xb1, 0xa8, + 0x61, 0x1c, 0x35, 0x36, 0x97, 0xb2, 0x97, 0x02, 0xe2, 0xb0, 0x62, 0x23, + 0x70, 0xbd, 0x04, 0x5f, 0x90, 0x6b, 0xeb, 0x82, 0x28, 0xef, 0x6f, 0x88, + 0x71, 0x2d, 0xb0, 0xae, 0xfd, 0x5a, 0x01, 0xc4, 0x0b, 0xeb, 0xc8, 0x28, + 0xf5, 0x3c, 0x67, 0x2d, 0x22, 0x5a, 0x17, 0xee, 0x06, 0x9c, 0x3c, 0x18, + 0xee, 0xfe, 0x97, 0x7d, 0x21, 0x64, 0x05, 0x69, 0xd7, 0x6d, 0x24, 0x43, + 0x61, 0xa2, 0xc4, 0x1a, 0x1d, 0xe8, 0xa0, 0xdd, 0x7f, 0x57, 0x83, 0x07, + 0xb1, 0x06, 0x9f, 0x94, 0xff, 0xcb, 0x1e, 0x81, 0xe1, 0x02, 0xe8, 0xda, + 0x10, 0x2e, 0x95, 0x90, 0x84, 0x89, 0xcc, 0xae, 0xc4, 0x7c, 0x9a, 0x19, + 0xa1, 0xd2, 0x27, 0x9f, 0xe8, 0x8d, 0x96, 0x85, 0x6a, 0xe0, 0x3a, 0xb1, + 0x75, 0x31, 0xfc, 0x12, 0x69, 0xff, 0x28, 0xab, 0x9a, 0x44, 0x16, 0x5e, + 0xfa, 0xa4, 0x9d, 0x2e, 0x98, 0x5c, 0xc0, 0x56, 0x3e, 0xae, 0xbe, 0x99, + 0xf1, 0x2f, 0x00, 0xfe, 0x91, 0xdd, 0x11, 0xda, 0x53, 0xa6, 0x78, 0x42, + 0x06, 0xc3, 0xff, 0x45, 0x0c, 0x07, 0x31, 0x7f, 0x4c, 0x40, 0x06, 0xad, + 0x5e, 0xe3, 0x9c, 0x39, 0x50, 0x0d, 0x02, 0x03, 0x01, 0x00, 0x01, 0x02, + 0x82, 0x01, 0x00, 0x05, 0x58, 0xd7, 0x74, 0xe6, 0x54, 0xd4, 0x2e, 0x22, + 0xb9, 0x43, 0x5b, 0x72, 0x8b, 0x0a, 0xa9, 0xd5, 0x5b, 0x2b, 0x38, 0x35, + 0x5c, 0xe4, 0x1b, 0xb3, 0x8f, 0x30, 0x30, 0xde, 0x4b, 0x46, 0x03, 0xb6, + 0xb3, 0xea, 0xc8, 0x5a, 0x67, 0x88, 0xbb, 0xa4, 0xd4, 0x20, 0xad, 0x50, + 0x8b, 0x70, 0x2a, 0xda, 0x10, 0x0a, 0x6a, 0x68, 0x2d, 0xe2, 0x71, 0x57, + 0xab, 0x8a, 0x7c, 0x76, 0x61, 0x41, 0x8b, 0x04, 0xd9, 0x9e, 0xaf, 0xd5, + 0x1b, 0xcd, 0x22, 0x3e, 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0x09, 0x70, + 0xad, 0xe7, 0x8c, 0x3b, 0xea, 0x97, 0xda, 0x3f, 0xd1, 0x81, 0xd4, 0x86, + 0xaa, 0x9e, 0x4a, 0xba, 0x1f, 0xf4, 0xa1, 0x2d, 0x07, 0xf4, 0xaa, 0x4f, + 0x81, 0x6c, 0x1c, 0xe6, 0x44, 0x76, 0xda, 0x89, 0x5f, 0x48, 0x44, 0x34, + 0x43, 0x8b, 0x73, 0x27, 0xf4, 0xa5, 0x54, 0x76, 0x3a, 0x6a, 0x9d, 0xd3, + 0x6c, 0xff, 0x45, 0x18, 0xd1, 0x9d, 0x89, 0xfe, 0x53, 0x90, 0x57, 0x04, + 0x00, 0x6f, 0x4a, 0xe4, 0x00, 0x5f, 0xc2, 0xc2, 0xd8, 0x0e, 0x26, 0x53, + 0xbd, 0x82, 0x6f, 0xfa, 0x68, 0x9a, 0x75, 0x7c, 0x6a, 0x46, 0xfb, 0xf0, + 0x21, 0x10, 0xbc, 0xb2, 0x0a, 0x77, 0xf5, 0x02, 0x81, 0x80, 0x08, 0x8b, + 0x94, 0x6e, 0x38, 0x61, 0xdf, 0x95, 0x36, 0xf2, 0x98, 0xcd, 0x9c, 0x9a, + 0x05, 0xa9, 0x56, 0x19, 0x5e, 0x57, 0x0c, 0x2e, 0x43, 0x32, 0x83, 0x0b, + 0x04, 0xc5, 0xb2, 0xe7, 0x59, 0x25, 0x48, 0xaf, 0xce, 0x2a, 0xc9, 0xe6, + 0x2f, 0xb4, 0x54, 0xa3, 0x44, 0x1f, 0x0b, 0xaf, 0x74, 0x2a, 0xbd, 0x5c, + 0x2d, 0x25, 0x8d, 0xea, 0xbc, 0x70, 0x17, 0x61, 0x76, 0x82, 0x0e, 0xc0, + 0x23, 0x13, 0x75, 0x9b, 0x43, 0xa0, 0x34, 0xa4, 0xce, 0xc3, 0x4b, 0xd5, + 0xd1, 0xbc, 0x21, 0x83, 0x2c, 0xad, 0x2b, 0x63, 0x4e, 0x04, 0x35, 0x54, + 0xba, 0xbf, 0xe1, 0x0e, 0xcf, 0x9b, 0x7c, 0xea, 0x8a, 0x0d, 0x87, 0x88, + 0xf6, 0xe3, 0xe2, 0x55, 0x31, 0xfe, 0x61, 0xb3, 0xab, 0x2d, 0x3c, 0xa5, + 0xbe, 0xc1, 0xd7, 0x30, 0x1f, 0x55, 0xc1, 0x7f, 0xb0, 0x3f, 0x18, 0xa3, + 0xf6, 0xa5, 0xf7, 0xd5, 0x9c, 0xd1, 0x02, 0x81, 0x80, 0x60, 0x9e, 0xf7, + 0x3c, 0x0f, 0x50, 0x33, 0x73, 0x44, 0x50, 0x15, 0x87, 0xef, 0x08, 0x7b, + 0x3b, 0xcc, 0x8f, 0xd3, 0xb0, 0xc8, 0x3a, 0x72, 0x13, 0x0c, 0x35, 0x87, + 0x2d, 0x22, 0xcb, 0x3a, 0xd2, 0x5d, 0x40, 0x8a, 0x36, 0x89, 0x11, 0x7b, + 0xb2, 0x0f, 0x80, 0x29, 0x59, 0x3b, 0x7d, 0xe4, 0xdd, 0x89, 0xd5, 0x06, + 0xe0, 0x28, 0x9f, 0x73, 0x58, 0x6a, 0xfd, 0xbc, 0x6c, 0x4a, 0xd9, 0x6f, + 0x0a, 0xb4, 0x55, 0xc6, 0x29, 0x5e, 0x85, 0xba, 0x74, 0x61, 0xab, 0x98, + 0x9d, 0x34, 0x05, 0xaf, 0x61, 0x92, 0xd0, 0x1f, 0xed, 0xdb, 0xc7, 0x3f, + 0x74, 0xa3, 0xed, 0xf2, 0x0b, 0x87, 0x55, 0x95, 0x50, 0xfd, 0xdb, 0x42, + 0xb7, 0x0b, 0xaf, 0x02, 0x9d, 0x72, 0x45, 0x77, 0x83, 0x20, 0x34, 0x0d, + 0x17, 0x36, 0xcc, 0xe6, 0xd1, 0x0c, 0x42, 0x4d, 0x7e, 0x6c, 0xa3, 0x4b, + 0xd4, 0x6c, 0xfb, 0xcb, 0x8b}; +static const size_t kDualZeroNormalDerLen = 1217; +static const uint8_t kCarmichaelZeroShortDer[] = { + 0x30, 0x82, 0x04, 0xbc, 0x02, 0x01, 0x00, 0x30, 0x0d, 0x06, 0x09, 0x2a, + 0x86, 0x48, 0x86, 0xf7, 0x0d, 0x01, 0x01, 0x01, 0x05, 0x00, 0x04, 0x82, + 0x04, 0xa6, 0x30, 0x82, 0x04, 0xa2, 0x02, 0x01, 0x00, 0x02, 0x82, 0x01, + 0x01, 0x00, 0xa4, 0x1c, 0x59, 0xe4, 0x46, 0xd7, 0x92, 0x06, 0x13, 0xb5, + 0x83, 0x46, 0x73, 0xd3, 0xf1, 0x39, 0x3f, 0x0d, 0x02, 0x41, 0xe7, 0x98, + 0x32, 0xb8, 0xc9, 0x5d, 0x9e, 0x9c, 0x73, 0xc7, 0x59, 0x65, 0xe7, 0x43, + 0x2a, 0x46, 0x38, 0xe6, 0x3d, 0x67, 0x37, 0x99, 0x76, 0x28, 0x64, 0xde, + 0xa9, 0xa1, 0xf0, 0x91, 0x20, 0x62, 0xd9, 0x54, 0x67, 0x25, 0xa4, 0x38, + 0x2a, 0x93, 0x88, 0xad, 0xed, 0x91, 0x0d, 0x38, 0xe9, 0xa3, 0x81, 0x41, + 0x8f, 0x51, 0xc7, 0x60, 0x4f, 0xee, 0x58, 0xf9, 0xc4, 0x04, 0x0f, 0xfc, + 0xcb, 0xaf, 0x34, 0x58, 0x5e, 0x1f, 0xd4, 0x10, 0x02, 0xae, 0x1f, 0x56, + 0xc5, 0xb5, 0x55, 0x32, 0xa9, 0x67, 0x9d, 0x82, 0x0c, 0x63, 0xbd, 0x93, + 0xa3, 0xe2, 0xd4, 0x35, 0xea, 0xc7, 0xc3, 0x01, 0xf5, 0x42, 0x32, 0x93, + 0xdc, 0xd1, 0xe2, 0x12, 0x29, 0x27, 0x5b, 0xd7, 0x19, 0xcc, 0xe2, 0x3f, + 0x33, 0xa1, 0x34, 0x80, 0xf8, 0x37, 0xb8, 0xf5, 0x74, 0x1d, 0x4b, 0xf2, + 0xa7, 0xc4, 0x91, 0xa1, 0x19, 0x65, 0xc8, 0x42, 0x21, 0xfc, 0x42, 0x48, + 0x70, 0x69, 0x46, 0x5f, 0x41, 0xee, 0x1b, 0x27, 0xdd, 0x3f, 0x12, 0x3a, + 0xb3, 0x75, 0x65, 0x99, 0x43, 0x10, 0xfd, 0x06, 0x6e, 0x22, 0x92, 0x72, + 0x41, 0xd0, 0xf3, 0xd3, 0x8d, 0x73, 0xf6, 0x78, 0x2e, 0x9b, 0x41, 0xe9, + 0x9f, 0x0d, 0x3b, 0x67, 0xf1, 0x39, 0xda, 0x83, 0x46, 0x30, 0xe0, 0x11, + 0xc5, 0xf7, 0x57, 0x1a, 0x47, 0x84, 0xb0, 0x70, 0xc4, 0xc8, 0x56, 0x19, + 0x22, 0xed, 0x82, 0xf0, 0xc9, 0x7d, 0x09, 0x4e, 0x55, 0x57, 0xfc, 0x0a, + 0x61, 0x2a, 0xf3, 0xe2, 0x87, 0xb1, 0x68, 0x3b, 0x91, 0xdd, 0xcc, 0xf2, + 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0x9a, 0x24, 0xa9, 0xc1, 0x87, 0x1e, 0x53, 0xce, 0xcf, 0x67, 0xab, 0xf9, + 0x3e, 0xfa, 0x76, 0xff, 0xd2, 0x3f, 0x35, 0x0e, 0xff, 0x60, 0x07, 0x9e, + 0x32, 0xe0, 0xc9, 0xa5, 0x01, 0x7a, 0x13, 0xff, 0x18, 0x62, 0xbb, 0xb5, + 0x4a, 0xc1, 0x37, 0xb3, 0xd0, 0x6a, 0x4e, 0x5b, 0xe0, 0xe6, 0xc1, 0xd9, + 0x33, 0x94, 0x53, 0x80, 0xf7, 0xe9, 0x0e, 0xf9, 0x88, 0x3d, 0x93, 0xfd, + 0x13, 0x8e, 0x7a, 0x52, 0x70, 0xe0, 0xe5, 0x68, 0x30, 0x04, 0xa2, 0x0c, + 0x6f, 0x94, 0xfb, 0x53, 0x41, 0xce, 0xd7, 0x48, 0xed, 0x9f, 0x34, 0xd8, + 0xf1, 0x16, 0x53, 0xdb, 0x65, 0x02, 0x81, 0x81, 0x00, 0xcb, 0xd9, 0x97, + 0xbc, 0xa1, 0xa1, 0x23, 0x04, 0x9a, 0xc0, 0x93, 0xca, 0x55, 0x87, 0x1b, + 0xf1, 0x79, 0xd3, 0x02, 0x2a, 0xf4, 0x74, 0xfd, 0x0d, 0xc4, 0x88, 0xbb, + 0xef, 0x8f, 0x21, 0x86, 0x9a, 0xcd, 0x9e, 0x30, 0x5d, 0xf0, 0x16, 0x9e, + 0xb7, 0xbd, 0x97, 0x96, 0xc1, 0x62, 0xa6, 0x4c, 0x61, 0x13, 0xab, 0x23, + 0xb9, 0xf1, 0xb7, 0x8f, 0xbf, 0x95, 0x5b, 0xc1, 0x65, 0xe7, 0x2c, 0xca, + 0xc9, 0x17, 0x2e, 0x61, 0xcc, 0x2a, 0xd7, 0x06, 0xb4, 0x6d, 0x3a, 0xc3, + 0xa9, 0x2d, 0xe3, 0x25, 0xb1, 0x5c, 0xb2, 0xd2, 0x9b, 0xba, 0x05, 0x75, + 0x59, 0xd8, 0x20, 0x4d, 0x41, 0xf6, 0xb4, 0xad, 0xfb, 0x1c, 0xc5, 0x23, + 0x9e, 0xe0, 0xcd, 0x9a, 0x3d, 0xa6, 0xba, 0xf2, 0x6d, 0x5a, 0x97, 0xc6, + 0x1d, 0xf0, 0x6e, 0x35, 0xd6, 0xdb, 0xa7, 0x40, 0xf5, 0x94, 0x58, 0xcc, + 0x31, 0xf0, 0xc9, 0x71, 0x45, 0x02, 0x81, 0x81, 0x00, 0x86, 0x02, 0x27, + 0x96, 0x6a, 0x85, 0x6b, 0xe9, 0x60, 0x85, 0xf2, 0xa3, 0x78, 0x44, 0xad, + 0x97, 0x37, 0xd3, 0x91, 0x35, 0x06, 0x65, 0x7e, 0x42, 0x17, 0xfe, 0xb0, + 0x25, 0xe8, 0x65, 0x97, 0x07, 0x88, 0x31, 0x3c, 0xbb, 0xf0, 0x73, 0x44, + 0x2e, 0xba, 0xa4, 0x3f, 0x18, 0x92, 0xd9, 0xbf, 0xe2, 0x10, 0xf1, 0x3b, + 0xf2, 0x7d, 0x7e, 0x1f, 0x3e, 0x20, 0xa7, 0x69, 0x87, 0x18, 0x74, 0x1b, + 0xa3, 0xcd, 0x92, 0x90, 0x5e, 0x73, 0x78, 0xc9, 0x28, 0x9c, 0x1a, 0x9d, + 0xf9, 0x6b, 0xc5, 0xc2, 0x80, 0x44, 0x7f, 0x8b, 0x32, 0xa4, 0x19, 0x6c, + 0x18, 0x23, 0xdc, 0x60, 0x41, 0xd3, 0x23, 0x4f, 0x92, 0x0d, 0x28, 0x4b, + 0x29, 0x0a, 0x3d, 0xf3, 0x99, 0x3e, 0x43, 0x2d, 0x09, 0xfc, 0x19, 0x3a, + 0xa8, 0xdb, 0x60, 0xc8, 0x74, 0x44, 0x00, 0xac, 0x85, 0x06, 0x3e, 0xa0, + 0xc9, 0xb2, 0xd0, 0xf8, 0x19, 0x02, 0x81, 0x81, 0x00, 0x9a, 0xbf, 0x91, + 0x2f, 0xf2, 0x67, 0x17, 0xe5, 0x4b, 0xf1, 0x3b, 0x80, 0x53, 0x13, 0x21, + 0x04, 0x5c, 0x5d, 0xf1, 0xfc, 0x57, 0xdd, 0x63, 0xa9, 0x0a, 0xf4, 0x5d, + 0xef, 0x0a, 0xf2, 0x01, 0x74, 0x0c, 0xf9, 0xb4, 0x6f, 0xeb, 0x6d, 0xd0, + 0x89, 0x5d, 0x94, 0xf1, 0x2d, 0xd7, 0x4c, 0xb5, 0x18, 0xd0, 0xcc, 0x8f, + 0x6f, 0x7d, 0xee, 0xc2, 0x62, 0x46, 0xe9, 0x03, 0xd4, 0xee, 0xfc, 0x92, + 0xe8, 0xba, 0xff, 0x4b, 0xe0, 0xa8, 0xf8, 0xd9, 0x2f, 0x28, 0xe8, 0x7e, + 0x56, 0x34, 0xee, 0x85, 0xd3, 0xb1, 0xb2, 0x52, 0xad, 0x43, 0x37, 0x17, + 0x91, 0xdf, 0xbf, 0x0d, 0xc7, 0x30, 0x98, 0x92, 0xa6, 0xd9, 0x7d, 0x52, + 0x80, 0x2e, 0xda, 0x05, 0xe8, 0x1d, 0x65, 0x37, 0xda, 0x09, 0xf6, 0xc3, + 0xc0, 0x40, 0x9f, 0xf9, 0xa1, 0x24, 0xd8, 0x40, 0x38, 0xed, 0xa7, 0xc7, + 0x43, 0x76, 0x2e, 0x06, 0x1d, 0x02, 0x81, 0x80, 0x43, 0x44, 0x3d, 0x8a, + 0x58, 0xae, 0x80, 0xbe, 0x11, 0x0c, 0x69, 0x96, 0x40, 0xe8, 0x7b, 0x80, + 0xae, 0xf5, 0xdf, 0x7a, 0x8b, 0x23, 0x1d, 0x77, 0xae, 0x78, 0xce, 0xd1, + 0x47, 0x4f, 0x44, 0xe9, 0x93, 0x3b, 0x9f, 0x12, 0xe7, 0x61, 0xb1, 0x05, + 0xd3, 0x8f, 0x60, 0x59, 0x6b, 0x59, 0x72, 0xfa, 0xe4, 0x29, 0xf8, 0x07, + 0xcf, 0xe0, 0xf7, 0xf7, 0xd0, 0xbb, 0x71, 0x66, 0xff, 0x40, 0x9c, 0xc1, + 0xdc, 0x71, 0x30, 0x1c, 0x4c, 0xcd, 0xde, 0x84, 0xbf, 0x8f, 0x1e, 0xb4, + 0x55, 0xd1, 0x68, 0x31, 0xd7, 0x75, 0x93, 0x88, 0x8a, 0x94, 0x30, 0x90, + 0x15, 0xcf, 0xe9, 0xb2, 0x06, 0x99, 0xbf, 0xb8, 0x4a, 0x8c, 0x30, 0xdf, + 0x8d, 0xe8, 0x0d, 0xf5, 0x2d, 0xb2, 0xde, 0x12, 0x0f, 0xdd, 0x1b, 0xb6, + 0x5f, 0x76, 0x94, 0xa7, 0x21, 0x5b, 0xa9, 0xc0, 0xe1, 0xf0, 0x53, 0x58, + 0xec, 0x9d, 0xd9, 0x61}; +static const size_t kCarmichaelZeroShortDerLen = 1216; +static const uint8_t kDualZeroShortDer[] = { + 0x30, 0x82, 0x04, 0xbc, 0x02, 0x01, 0x00, 0x30, 0x0d, 0x06, 0x09, 0x2a, + 0x86, 0x48, 0x86, 0xf7, 0x0d, 0x01, 0x01, 0x01, 0x05, 0x00, 0x04, 0x82, + 0x04, 0xa6, 0x30, 0x82, 0x04, 0xa2, 0x02, 0x01, 0x00, 0x02, 0x82, 0x01, + 0x01, 0x00, 0xc5, 0xf1, 0x21, 0x88, 0xb7, 0xbf, 0xa8, 0xe8, 0x13, 0x6e, + 0xb4, 0x76, 0xcc, 0x21, 0x4e, 0x2f, 0xc6, 0x28, 0x22, 0xbc, 0x26, 0x30, + 0x3e, 0x0b, 0x1b, 0xb3, 0x91, 0x75, 0x18, 0x62, 0x2e, 0x6b, 0x1a, 0x33, + 0x83, 0x36, 0x85, 0x23, 0xa7, 0x05, 0xf5, 0x4c, 0xa6, 0xdf, 0x5a, 0xc6, + 0x56, 0xab, 0xee, 0x77, 0x21, 0xb6, 0x71, 0x13, 0x50, 0xde, 0xda, 0x22, + 0x64, 0xad, 0x2e, 0xd2, 0xa2, 0x3f, 0x76, 0xba, 0x76, 0x4c, 0xd3, 0x6a, + 0xea, 0x44, 0xa9, 0xa7, 0x9d, 0x8c, 0x3b, 0x01, 0x22, 0x0b, 0xe7, 0x42, + 0x4d, 0xdd, 0x16, 0x85, 0x94, 0x54, 0xfd, 0x34, 0x8e, 0x97, 0xfa, 0x52, + 0xab, 0x77, 0x17, 0x26, 0xb3, 0x1b, 0xc6, 0x0e, 0x24, 0x2c, 0x46, 0x89, + 0xbd, 0x45, 0x09, 0x3e, 0x3e, 0xf4, 0xff, 0x80, 0x0b, 0x7c, 0xc8, 0xfe, + 0x20, 0x17, 0x0a, 0xc3, 0x8f, 0x25, 0x1b, 0x95, 0x61, 0x81, 0x9a, 0x60, + 0x3c, 0x76, 0x8d, 0x66, 0x24, 0xb6, 0xed, 0xf6, 0x74, 0x03, 0x26, 0x1b, + 0xcd, 0x3d, 0xbe, 0x56, 0x69, 0xae, 0xfd, 0xd7, 0xb2, 0x60, 0x41, 0x00, + 0xf4, 0x87, 0x9b, 0xa6, 0x81, 0xdf, 0x76, 0xfc, 0x61, 0xbb, 0x27, 0x24, + 0x35, 0x8e, 0x63, 0x8b, 0xd4, 0x04, 0xc2, 0x7c, 0xef, 0xd0, 0xc5, 0x3b, + 0xc8, 0x93, 0x30, 0x07, 0xf3, 0x3d, 0x7f, 0x6f, 0x0d, 0xcf, 0xf9, 0x14, + 0xa9, 0x3d, 0x7d, 0x25, 0x00, 0x2a, 0xa0, 0x14, 0xb0, 0xbd, 0x8e, 0x29, + 0xb4, 0x53, 0xf0, 0x61, 0x3f, 0x99, 0x0f, 0x4f, 0x2c, 0x77, 0xde, 0x0a, + 0xf5, 0x4a, 0x9a, 0x79, 0xe0, 0x11, 0x22, 0xc4, 0x1c, 0x0b, 0x17, 0x7f, + 0xec, 0x1c, 0x88, 0x0c, 0x14, 0x67, 0x87, 0x54, 0x41, 0x11, 0x2d, 0x60, + 0xcb, 0x69, 0xbd, 0x4f, 0x23, 0x77, 0x47, 0x0a, 0x37, 0x77, 0x02, 0x29, + 0x56, 0x58, 0xc0, 0xee, 0x48, 0xf9, 0x02, 0x03, 0x01, 0x00, 0x01, 0x02, + 0x81, 0xff, 0x4e, 0xdd, 0xc4, 0x7e, 0xb4, 0xb7, 0xa8, 0x94, 0xcf, 0x29, + 0x4c, 0xbe, 0x08, 0x97, 0x3c, 0x8f, 0xcc, 0x64, 0x31, 0x72, 0xc5, 0xc4, + 0x72, 0xf3, 0xfa, 0x15, 0x91, 0xdf, 0x15, 0xd8, 0x08, 0xa6, 0xa3, 0xc9, + 0xe2, 0x7d, 0xd6, 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0x67, 0x9e, 0x3c, + 0x7e, 0xf5, 0xc8, 0x06, 0x6f, 0x54, 0xe3, 0xa7, 0xb5, 0x13, 0x14, 0x83, + 0x93, 0xdd, 0xa2, 0x83, 0xf0, 0x1e, 0x9b, 0xe4, 0x4d, 0x21, 0x49, 0x8d, + 0xe7, 0x92, 0x9f, 0x86, 0x30, 0x0e, 0xc7, 0x73, 0x9a, 0x64, 0xc3, 0xd0, + 0x63, 0x24, 0x3c, 0x64, 0x90, 0x56, 0xb6, 0xe1, 0xbb, 0xef, 0xa2, 0x0b, + 0xb8, 0xe8, 0x6d, 0x71, 0x59, 0x02, 0x81, 0x81, 0x00, 0xe5, 0x27, 0x9b, + 0xf3, 0xc3, 0x79, 0x97, 0x43, 0x5a, 0xd1, 0x5d, 0x59, 0x1a, 0x9a, 0x3e, + 0xb0, 0x59, 0x6e, 0x93, 0xb9, 0xe6, 0x37, 0x9a, 0xd3, 0xc2, 0x76, 0xbe, + 0x63, 0x94, 0xa8, 0xec, 0xad, 0xa3, 0xda, 0xa8, 0xc3, 0x5e, 0xad, 0x19, + 0x7a, 0xb3, 0x56, 0xdb, 0x4d, 0x2d, 0x9f, 0xa7, 0x0e, 0xae, 0x31, 0x57, + 0xee, 0xda, 0x60, 0x46, 0x65, 0x6e, 0x16, 0x61, 0x29, 0xe6, 0xbf, 0x88, + 0xad, 0xb7, 0xcd, 0x90, 0x0f, 0xd7, 0x92, 0x76, 0xac, 0x89, 0x10, 0xef, + 0x38, 0x14, 0xae, 0x62, 0xfd, 0x3e, 0xa6, 0x49, 0x78, 0x93, 0x30, 0xce, + 0x79, 0x29, 0x6e, 0xe1, 0x92, 0x0a, 0x28, 0x9f, 0xb0, 0x50, 0x87, 0x89, + 0xc9, 0x99, 0xcc, 0xad, 0x76, 0x4e, 0x81, 0x19, 0xd7, 0xd7, 0xde, 0x9d, + 0xcc, 0x2f, 0x4a, 0xe4, 0x5b, 0x12, 0x0a, 0x5d, 0xf0, 0xb4, 0xa5, 0x13, + 0x92, 0xd0, 0xb9, 0x8a, 0x83, 0x02, 0x81, 0x81, 0x00, 0xdd, 0x21, 0x71, + 0xb9, 0x1a, 0xf0, 0x61, 0x74, 0xc6, 0x0f, 0x93, 0xcf, 0xe2, 0x0d, 0x51, + 0xc7, 0x89, 0x97, 0x20, 0x04, 0x79, 0xed, 0x85, 0x84, 0x6f, 0xd2, 0xd5, + 0x24, 0x07, 0xe0, 0x42, 0x2d, 0x34, 0xe0, 0x50, 0x5e, 0xbf, 0xe7, 0xc6, + 0x76, 0x01, 0xc3, 0x58, 0xc4, 0x1b, 0x23, 0x51, 0xd9, 0x9b, 0x35, 0x91, + 0x1a, 0xe3, 0xd7, 0x54, 0xa3, 0x06, 0xf8, 0x8c, 0x7d, 0xa2, 0x71, 0x67, + 0xc6, 0x33, 0x6d, 0x08, 0x9d, 0xf8, 0xa0, 0x4d, 0x59, 0x44, 0xbe, 0x21, + 0x7a, 0x88, 0xe9, 0x88, 0xe3, 0xc9, 0x29, 0xe6, 0x2f, 0x83, 0x19, 0xc1, + 0x79, 0x10, 0xb6, 0xbb, 0xa5, 0xe1, 0x5c, 0xf7, 0x47, 0xbb, 0x36, 0xa5, + 0xc5, 0x0e, 0xa1, 0xc2, 0x58, 0x35, 0x09, 0x68, 0xde, 0x0e, 0xb6, 0x80, + 0x8c, 0xee, 0x8e, 0xc9, 0xd2, 0xb9, 0x77, 0x31, 0xd3, 0x2f, 0x71, 0xcc, + 0xed, 0xb8, 0x1c, 0x35, 0xd3, 0x02, 0x81, 0x81, 0x00, 0xc0, 0x03, 0x9f, + 0x9e, 0xf3, 0x85, 0xb8, 0x24, 0xfd, 0x3d, 0x7f, 0xed, 0xc0, 0xe7, 0xcc, + 0x6d, 0xb2, 0x92, 0x80, 0x80, 0x7e, 0x12, 0xcb, 0xce, 0x73, 0x1d, 0x52, + 0xcd, 0x58, 0x6c, 0xef, 0xdd, 0x53, 0xf6, 0x4e, 0x01, 0x5f, 0x1c, 0xc6, + 0xc3, 0xd4, 0xf0, 0x8b, 0xd4, 0x30, 0xcd, 0x9d, 0x8b, 0x24, 0x95, 0x3e, + 0x2c, 0x6b, 0x99, 0xce, 0x83, 0x01, 0x6b, 0x09, 0x41, 0xb6, 0x13, 0x7a, + 0x30, 0xae, 0x5a, 0x36, 0x43, 0xc0, 0x0b, 0xff, 0x1a, 0xf5, 0xc3, 0x55, + 0xdf, 0xf5, 0x1c, 0x66, 0xdf, 0xf3, 0x16, 0x1d, 0x6c, 0x46, 0x51, 0xd8, + 0x41, 0x18, 0x61, 0xcb, 0xeb, 0xb6, 0x4d, 0x71, 0xf9, 0xa8, 0x90, 0xd9, + 0xf9, 0x2e, 0xc1, 0x9d, 0xfc, 0x0b, 0x2e, 0x0c, 0x7c, 0x9b, 0x6a, 0xf3, + 0x68, 0x7b, 0x9c, 0x52, 0x9a, 0xa9, 0x14, 0x3c, 0xc1, 0x0c, 0x6d, 0x62, + 0x68, 0x5c, 0x33, 0x8c, 0x87, 0x02, 0x81, 0x80, 0x0e, 0xd2, 0x94, 0x15, + 0xed, 0x59, 0x59, 0x9f, 0x03, 0x3b, 0xbe, 0x13, 0xbc, 0x3a, 0x5a, 0x55, + 0xfe, 0xc2, 0x13, 0x92, 0x59, 0x3d, 0xf3, 0xaa, 0x39, 0xf8, 0xae, 0xf2, + 0xd8, 0x58, 0x4e, 0xf7, 0x4a, 0xc9, 0x12, 0x7a, 0x17, 0x71, 0x08, 0xdb, + 0x96, 0x28, 0xab, 0x05, 0x92, 0x30, 0x1e, 0xe7, 0x70, 0x40, 0xf9, 0xf6, + 0x0c, 0x79, 0xbd, 0xa1, 0xa3, 0xf0, 0xfb, 0x31, 0xdc, 0xb6, 0xaf, 0x57, + 0x18, 0xd1, 0x61, 0x37, 0x7d, 0x97, 0xf9, 0x37, 0x57, 0xa5, 0x4b, 0x07, + 0x34, 0xb0, 0x3a, 0xcd, 0xd2, 0x09, 0x2d, 0xf5, 0xd7, 0x5a, 0xdd, 0x9e, + 0x28, 0xe1, 0xa6, 0xd8, 0x6a, 0xaf, 0xd9, 0x9f, 0x84, 0x4c, 0x18, 0x76, + 0x8a, 0x11, 0x8b, 0xbe, 0x6f, 0xe7, 0xae, 0x90, 0xdb, 0xf9, 0x9d, 0xca, + 0x54, 0x9f, 0x5b, 0xa5, 0xf5, 0x6a, 0xa8, 0xfb, 0x57, 0xfd, 0xcf, 0xd7, + 0xcb, 0x74, 0x90, 0xa3, 0x02, 0x81, 0x81, 0x00, 0xd2, 0xcf, 0xd6, 0x40, + 0x11, 0xea, 0xbb, 0x4c, 0x4d, 0x14, 0x7c, 0xcc, 0x20, 0x3c, 0xc9, 0x4c, + 0x6a, 0xb7, 0x4d, 0x32, 0x68, 0xf5, 0xab, 0xe5, 0x71, 0x9f, 0x51, 0xc8, + 0x8d, 0xb8, 0x39, 0xe4, 0x9f, 0x06, 0xb2, 0xf1, 0x5d, 0x43, 0x5d, 0x1e, + 0xcb, 0x15, 0x40, 0xa3, 0xe4, 0xb4, 0xbf, 0xd4, 0xa7, 0x75, 0x60, 0x28, + 0x46, 0x6a, 0xd3, 0x42, 0x27, 0x39, 0x0f, 0x7b, 0x26, 0x49, 0x77, 0xd0, + 0x98, 0x3e, 0x0a, 0x20, 0xfa, 0xa5, 0x01, 0x22, 0xb0, 0xa0, 0x66, 0x9c, + 0x4d, 0x38, 0xb3, 0x31, 0xcb, 0x8f, 0xd8, 0x92, 0x50, 0x90, 0x79, 0x43, + 0xbb, 0x8c, 0x3d, 0x28, 0x58, 0x0b, 0xd5, 0xfc, 0x04, 0x99, 0xc4, 0x6a, + 0x3a, 0x75, 0x8a, 0xc4, 0x74, 0xe6, 0x91, 0x08, 0x58, 0xc0, 0x2a, 0x4a, + 0xdd, 0x66, 0x64, 0xb4, 0x38, 0xa5, 0x79, 0xef, 0x1d, 0xdd, 0x51, 0x58, + 0x64, 0x0c, 0xfb, 0xe6}; +static const size_t kDualZeroShortDerLen = 1216; + +#endif // CDM_OEC_TEST_DATA_H_ diff --git a/oemcrypto/test/oemcrypto_test.cpp b/oemcrypto/test/oemcrypto_test.cpp index 1d1c427..cb823e3 100644 --- a/oemcrypto/test/oemcrypto_test.cpp +++ b/oemcrypto/test/oemcrypto_test.cpp @@ -50,6 +50,7 @@ #include "log.h" #include "oec_decrypt_fallback_chain.h" #include "oec_device_features.h" +#include "oec_extra_test_keys.h" #include "oec_session_util.h" #include "oec_test_data.h" #include "oemcrypto_session_tests_helper.h" @@ -4984,47 +4985,77 @@ TEST_F( TestHugeLengthDoesNotCrashAPI(oemcrypto_function, !kCheckStatus); } -// Test a 3072 bit RSA key certificate. -TEST_F(OEMCryptoLoadsCertificate, TestLargeRSAKey3072) { - encoded_rsa_key_.assign(kTestRSAPKCS8PrivateKeyInfo3_3072, - kTestRSAPKCS8PrivateKeyInfo3_3072 + - sizeof(kTestRSAPKCS8PrivateKeyInfo3_3072)); - ASSERT_NO_FATAL_FAILURE(CreateWrappedRSAKey()); - Session s; - ASSERT_NO_FATAL_FAILURE(s.open()); - ASSERT_NO_FATAL_FAILURE( - s.PreparePublicKey(encoded_rsa_key_.data(), encoded_rsa_key_.size())); - ASSERT_NO_FATAL_FAILURE(s.InstallRSASessionTestKey(wrapped_rsa_key_)); +class OEMCryptoLoadsCertVariousKeys : public OEMCryptoLoadsCertificate { + public: + void TestKey(const uint8_t* key, size_t key_length) { + encoded_rsa_key_.assign(key, key + key_length); + ASSERT_NO_FATAL_FAILURE(CreateWrappedRSAKey()); + Session s; + ASSERT_NO_FATAL_FAILURE(s.open()); + ASSERT_NO_FATAL_FAILURE( + s.PreparePublicKey(encoded_rsa_key_.data(), encoded_rsa_key_.size())); + ASSERT_NO_FATAL_FAILURE(s.InstallRSASessionTestKey(wrapped_rsa_key_)); - LicenseRoundTrip license_messages(&s); - ASSERT_NO_FATAL_FAILURE(s.GenerateNonce()); - ASSERT_NO_FATAL_FAILURE(license_messages.SignAndVerifyRequest()); - ASSERT_NO_FATAL_FAILURE(license_messages.CreateDefaultResponse()); - ASSERT_NO_FATAL_FAILURE(license_messages.EncryptAndSignResponse()); - ASSERT_EQ(OEMCrypto_SUCCESS, license_messages.LoadResponse()); - ASSERT_NO_FATAL_FAILURE(s.TestDecryptCTR()); + LicenseRoundTrip license_messages(&s); + ASSERT_NO_FATAL_FAILURE(s.GenerateNonce()); + ASSERT_NO_FATAL_FAILURE(license_messages.SignAndVerifyRequest()); + ASSERT_NO_FATAL_FAILURE(license_messages.CreateDefaultResponse()); + ASSERT_NO_FATAL_FAILURE(license_messages.EncryptAndSignResponse()); + ASSERT_EQ(OEMCrypto_SUCCESS, license_messages.LoadResponse()); + ASSERT_NO_FATAL_FAILURE(s.TestDecryptCTR()); + } +}; + +// Test a 3072 bit RSA key certificate. +TEST_F(OEMCryptoLoadsCertVariousKeys, TestLargeRSAKey3072) { + TestKey(kTestRSAPKCS8PrivateKeyInfo3_3072, + sizeof(kTestRSAPKCS8PrivateKeyInfo3_3072)); } // Test an RSA key certificate which has a private key generated using the // Carmichael totient. -TEST_F(OEMCryptoLoadsCertificate, TestCarmichaelRSAKey) { - encoded_rsa_key_.assign( - kTestKeyRSACarmichael_2048, - kTestKeyRSACarmichael_2048 + sizeof(kTestKeyRSACarmichael_2048)); - ASSERT_NO_FATAL_FAILURE(CreateWrappedRSAKey()); - Session s; - ASSERT_NO_FATAL_FAILURE(s.open()); - ASSERT_NO_FATAL_FAILURE( - s.PreparePublicKey(encoded_rsa_key_.data(), encoded_rsa_key_.size())); - ASSERT_NO_FATAL_FAILURE(s.InstallRSASessionTestKey(wrapped_rsa_key_)); +TEST_F(OEMCryptoLoadsCertVariousKeys, TestCarmichaelRSAKey) { + TestKey(kTestKeyRSACarmichael_2048, sizeof(kTestKeyRSACarmichael_2048)); +} - LicenseRoundTrip license_messages(&s); - ASSERT_NO_FATAL_FAILURE(s.GenerateNonce()); - ASSERT_NO_FATAL_FAILURE(license_messages.SignAndVerifyRequest()); - ASSERT_NO_FATAL_FAILURE(license_messages.CreateDefaultResponse()); - ASSERT_NO_FATAL_FAILURE(license_messages.EncryptAndSignResponse()); - ASSERT_EQ(OEMCrypto_SUCCESS, license_messages.LoadResponse()); - ASSERT_NO_FATAL_FAILURE(s.TestDecryptCTR()); +TEST_F(OEMCryptoLoadsCertVariousKeys, TestCarmichaelNonZeroNormalDer) { + TestKey(kCarmichaelNonZeroNormalDer, kCarmichaelNonZeroNormalDerLen); +} + +TEST_F(OEMCryptoLoadsCertVariousKeys, TestCarmichaelNonZeroShortDer) { + TestKey(kCarmichaelNonZeroShortDer, kCarmichaelNonZeroShortDerLen); +} + +TEST_F(OEMCryptoLoadsCertVariousKeys, TestCarmichaelZeroNormalDer) { + TestKey(kCarmichaelZeroNormalDer, kCarmichaelZeroNormalDerLen); +} + +TEST_F(OEMCryptoLoadsCertVariousKeys, TestCarmichaelZeroShortDer) { + TestKey(kCarmichaelZeroShortDer, kCarmichaelZeroShortDerLen); +} + +TEST_F(OEMCryptoLoadsCertVariousKeys, TestDualNonZeroNormalDer) { + TestKey(kDualNonZeroNormalDer, kDualNonZeroNormalDerLen); +} + +TEST_F(OEMCryptoLoadsCertVariousKeys, TestDualNonZeroShortDer) { + TestKey(kDualNonZeroShortDer, kDualNonZeroShortDerLen); +} + +TEST_F(OEMCryptoLoadsCertVariousKeys, TestDualZeroNormalDer) { + TestKey(kDualZeroNormalDer, kDualZeroNormalDerLen); +} + +TEST_F(OEMCryptoLoadsCertVariousKeys, TestDualZeroShortDer) { + TestKey(kDualZeroShortDer, kDualZeroShortDerLen); +} + +TEST_F(OEMCryptoLoadsCertVariousKeys, TestEulerNonZeroNormalDer) { + TestKey(kEulerNonZeroNormalDer, kEulerNonZeroNormalDerLen); +} + +TEST_F(OEMCryptoLoadsCertVariousKeys, TestEulerZeroNormalDer) { + TestKey(kEulerZeroNormalDer, kEulerZeroNormalDerLen); } // This tests that two sessions can use different RSA keys simultaneously.