// Copyright 2024 The Go Authors. All rights reserved. // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. package rsa import ( "bytes" "crypto/internal/fips140" "crypto/internal/fips140/bigmod" _ "crypto/internal/fips140/check" "errors" "sync" ) func testPrivateKey() *PrivateKey { // https://www.rfc-editor.org/rfc/rfc9500.html#section-2.1 N, _ := bigmod.NewModulus([]byte{ 0xB0, 0xF9, 0xE8, 0x19, 0x43, 0xA7, 0xAE, 0x98, 0x92, 0xAA, 0xDE, 0x17, 0xCA, 0x7C, 0x40, 0xF8, 0x74, 0x4F, 0xED, 0x2F, 0x81, 0x48, 0xE6, 0xC8, 0xEA, 0xA2, 0x7B, 0x7D, 0x00, 0x15, 0x48, 0xFB, 0x51, 0x92, 0xAB, 0x28, 0xB5, 0x6C, 0x50, 0x60, 0xB1, 0x18, 0xCC, 0xD1, 0x31, 0xE5, 0x94, 0x87, 0x4C, 0x6C, 0xA9, 0x89, 0xB5, 0x6C, 0x27, 0x29, 0x6F, 0x09, 0xFB, 0x93, 0xA0, 0x34, 0xDF, 0x32, 0xE9, 0x7C, 0x6F, 0xF0, 0x99, 0x8C, 0xFD, 0x8E, 0x6F, 0x42, 0xDD, 0xA5, 0x8A, 0xCD, 0x1F, 0xA9, 0x79, 0x86, 0xF1, 0x44, 0xF3, 0xD1, 0x54, 0xD6, 0x76, 0x50, 0x17, 0x5E, 0x68, 0x54, 0xB3, 0xA9, 0x52, 0x00, 0x3B, 0xC0, 0x68, 0x87, 0xB8, 0x45, 0x5A, 0xC2, 0xB1, 0x9F, 0x7B, 0x2F, 0x76, 0x50, 0x4E, 0xBC, 0x98, 0xEC, 0x94, 0x55, 0x71, 0xB0, 0x78, 0x92, 0x15, 0x0D, 0xDC, 0x6A, 0x74, 0xCA, 0x0F, 0xBC, 0xD3, 0x54, 0x97, 0xCE, 0x81, 0x53, 0x4D, 0xAF, 0x94, 0x18, 0x84, 0x4B, 0x13, 0xAE, 0xA3, 0x1F, 0x9D, 0x5A, 0x6B, 0x95, 0x57, 0xBB, 0xDF, 0x61, 0x9E, 0xFD, 0x4E, 0x88, 0x7F, 0x2D, 0x42, 0xB8, 0xDD, 0x8B, 0xC9, 0x87, 0xEA, 0xE1, 0xBF, 0x89, 0xCA, 0xB8, 0x5E, 0xE2, 0x1E, 0x35, 0x63, 0x05, 0xDF, 0x6C, 0x07, 0xA8, 0x83, 0x8E, 0x3E, 0xF4, 0x1C, 0x59, 0x5D, 0xCC, 0xE4, 0x3D, 0xAF, 0xC4, 0x91, 0x23, 0xEF, 0x4D, 0x8A, 0xBB, 0xA9, 0x3D, 0x39, 0x05, 0xE4, 0x02, 0x8D, 0x7B, 0xA9, 0x14, 0x84, 0xA2, 0x75, 0x96, 0xE0, 0x7B, 0x4B, 0x6E, 0xD9, 0x92, 0xF0, 0x77, 0xB5, 0x24, 0xD3, 0xDC, 0xFE, 0x7D, 0xDD, 0x55, 0x49, 0xBE, 0x7C, 0xCE, 0x8D, 0xA0, 0x35, 0xCF, 0xA0, 0xB3, 0xFB, 0x8F, 0x9E, 0x46, 0xF7, 0x32, 0xB2, 0xA8, 0x6B, 0x46, 0x01, 0x65, 0xC0, 0x8F, 0x53, 0x13}) d, _ := bigmod.NewNat().SetBytes([]byte{ 0x41, 0x18, 0x8B, 0x20, 0xCF, 0xDB, 0xDB, 0xC2, 0xCF, 0x1F, 0xFE, 0x75, 0x2D, 0xCB, 0xAA, 0x72, 0x39, 0x06, 0x35, 0x2E, 0x26, 0x15, 0xD4, 0x9D, 0xCE, 0x80, 0x59, 0x7F, 0xCF, 0x0A, 0x05, 0x40, 0x3B, 0xEF, 0x00, 0xFA, 0x06, 0x51, 0x82, 0xF7, 0x2D, 0xEC, 0xFB, 0x59, 0x6F, 0x4B, 0x0C, 0xE8, 0xFF, 0x59, 0x70, 0xBA, 0xF0, 0x7A, 0x89, 0xA5, 0x19, 0xEC, 0xC8, 0x16, 0xB2, 0xF4, 0xFF, 0xAC, 0x50, 0x69, 0xAF, 0x1B, 0x06, 0xBF, 0xEF, 0x7B, 0xF6, 0xBC, 0xD7, 0x9E, 0x4E, 0x81, 0xC8, 0xC5, 0xA3, 0xA7, 0xD9, 0x13, 0x0D, 0xC3, 0xCF, 0xBA, 0xDA, 0xE5, 0xF6, 0xD2, 0x88, 0xF9, 0xAE, 0xE3, 0xF6, 0xFF, 0x92, 0xFA, 0xE0, 0xF8, 0x1A, 0xF5, 0x97, 0xBE, 0xC9, 0x6A, 0xE9, 0xFA, 0xB9, 0x40, 0x2C, 0xD5, 0xFE, 0x41, 0xF7, 0x05, 0xBE, 0xBD, 0xB4, 0x7B, 0xB7, 0x36, 0xD3, 0xFE, 0x6C, 0x5A, 0x51, 0xE0, 0xE2, 0x07, 0x32, 0xA9, 0x7B, 0x5E, 0x46, 0xC1, 0xCB, 0xDB, 0x26, 0xD7, 0x48, 0x54, 0xC6, 0xB6, 0x60, 0x4A, 0xED, 0x46, 0x37, 0x35, 0xFF, 0x90, 0x76, 0x04, 0x65, 0x57, 0xCA, 0xF9, 0x49, 0xBF, 0x44, 0x88, 0x95, 0xC2, 0x04, 0x32, 0xC1, 0xE0, 0x9C, 0x01, 0x4E, 0xA7, 0x56, 0x60, 0x43, 0x4F, 0x1A, 0x0F, 0x3B, 0xE2, 0x94, 0xBA, 0xBC, 0x5D, 0x53, 0x0E, 0x6A, 0x10, 0x21, 0x3F, 0x53, 0xB6, 0x03, 0x75, 0xFC, 0x84, 0xA7, 0x57, 0x3F, 0x2A, 0xF1, 0x21, 0x55, 0x84, 0xF5, 0xB4, 0xBD, 0xA6, 0xD4, 0xE8, 0xF9, 0xE1, 0x7A, 0x78, 0xD9, 0x7E, 0x77, 0xB8, 0x6D, 0xA4, 0xA1, 0x84, 0x64, 0x75, 0x31, 0x8A, 0x7A, 0x10, 0xA5, 0x61, 0x01, 0x4E, 0xFF, 0xA2, 0x3A, 0x81, 0xEC, 0x56, 0xE9, 0xE4, 0x10, 0x9D, 0xEF, 0x8C, 0xB3, 0xF7, 0x97, 0x22, 0x3F, 0x7D, 0x8D, 0x0D, 0x43, 0x51}, N) p, _ := bigmod.NewModulus([]byte{ 0xDD, 0x10, 0x57, 0x02, 0x38, 0x2F, 0x23, 0x2B, 0x36, 0x81, 0xF5, 0x37, 0x91, 0xE2, 0x26, 0x17, 0xC7, 0xBF, 0x4E, 0x9A, 0xCB, 0x81, 0xED, 0x48, 0xDA, 0xF6, 0xD6, 0x99, 0x5D, 0xA3, 0xEA, 0xB6, 0x42, 0x83, 0x9A, 0xFF, 0x01, 0x2D, 0x2E, 0xA6, 0x28, 0xB9, 0x0A, 0xF2, 0x79, 0xFD, 0x3E, 0x6F, 0x7C, 0x93, 0xCD, 0x80, 0xF0, 0x72, 0xF0, 0x1F, 0xF2, 0x44, 0x3B, 0x3E, 0xE8, 0xF2, 0x4E, 0xD4, 0x69, 0xA7, 0x96, 0x13, 0xA4, 0x1B, 0xD2, 0x40, 0x20, 0xF9, 0x2F, 0xD1, 0x10, 0x59, 0xBD, 0x1D, 0x0F, 0x30, 0x1B, 0x5B, 0xA7, 0xA9, 0xD3, 0x63, 0x7C, 0xA8, 0xD6, 0x5C, 0x1A, 0x98, 0x15, 0x41, 0x7D, 0x8E, 0xAB, 0x73, 0x4B, 0x0B, 0x4F, 0x3A, 0x2C, 0x66, 0x1D, 0x9A, 0x1A, 0x82, 0xF3, 0xAC, 0x73, 0x4C, 0x40, 0x53, 0x06, 0x69, 0xAB, 0x8E, 0x47, 0x30, 0x45, 0xA5, 0x8E, 0x65, 0x53, 0x9D}) q, _ := bigmod.NewModulus([]byte{ 0xCC, 0xF1, 0xE5, 0xBB, 0x90, 0xC8, 0xE9, 0x78, 0x1E, 0xA7, 0x5B, 0xEB, 0xF1, 0x0B, 0xC2, 0x52, 0xE1, 0x1E, 0xB0, 0x23, 0xA0, 0x26, 0x0F, 0x18, 0x87, 0x55, 0x2A, 0x56, 0x86, 0x3F, 0x4A, 0x64, 0x21, 0xE8, 0xC6, 0x00, 0xBF, 0x52, 0x3D, 0x6C, 0xB1, 0xB0, 0xAD, 0xBD, 0xD6, 0x5B, 0xFE, 0xE4, 0xA8, 0x8A, 0x03, 0x7E, 0x3D, 0x1A, 0x41, 0x5E, 0x5B, 0xB9, 0x56, 0x48, 0xDA, 0x5A, 0x0C, 0xA2, 0x6B, 0x54, 0xF4, 0xA6, 0x39, 0x48, 0x52, 0x2C, 0x3D, 0x5F, 0x89, 0xB9, 0x4A, 0x72, 0xEF, 0xFF, 0x95, 0x13, 0x4D, 0x59, 0x40, 0xCE, 0x45, 0x75, 0x8F, 0x30, 0x89, 0x80, 0x90, 0x89, 0x56, 0x58, 0x8E, 0xEF, 0x57, 0x5B, 0x3E, 0x4B, 0xC4, 0xC3, 0x68, 0xCF, 0xE8, 0x13, 0xEE, 0x9C, 0x25, 0x2C, 0x2B, 0x02, 0xE0, 0xDF, 0x91, 0xF1, 0xAA, 0x01, 0x93, 0x8D, 0x38, 0x68, 0x5D, 0x60, 0xBA, 0x6F}) qInv, _ := bigmod.NewNat().SetBytes([]byte{ 0x0A, 0x81, 0xD8, 0xA6, 0x18, 0x31, 0x4A, 0x80, 0x3A, 0xF6, 0x1C, 0x06, 0x71, 0x1F, 0x2C, 0x39, 0xB2, 0x66, 0xFF, 0x41, 0x4D, 0x53, 0x47, 0x6D, 0x1D, 0xA5, 0x2A, 0x43, 0x18, 0xAA, 0xFE, 0x4B, 0x96, 0xF0, 0xDA, 0x07, 0x15, 0x5F, 0x8A, 0x51, 0x34, 0xDA, 0xB8, 0x8E, 0xE2, 0x9E, 0x81, 0x68, 0x07, 0x6F, 0xCD, 0x78, 0xCA, 0x79, 0x1A, 0xC6, 0x34, 0x42, 0xA8, 0x1C, 0xD0, 0x69, 0x39, 0x27, 0xD8, 0x08, 0xE3, 0x35, 0xE8, 0xD8, 0xCB, 0xF2, 0x12, 0x19, 0x07, 0x50, 0x9A, 0x57, 0x75, 0x9B, 0x4F, 0x9A, 0x18, 0xFA, 0x3A, 0x7B, 0x33, 0x37, 0x79, 0xED, 0xDE, 0x7A, 0x45, 0x93, 0x84, 0xF8, 0x44, 0x4A, 0xDA, 0xEC, 0xFF, 0xEC, 0x95, 0xFD, 0x55, 0x2B, 0x0C, 0xFC, 0xB6, 0xC7, 0xF6, 0x92, 0x62, 0x6D, 0xDE, 0x1E, 0xF2, 0x68, 0xA4, 0x0D, 0x2F, 0x67, 0xB5, 0xC8, 0xAA, 0x38, 0x7F, 0xF7}, p) dP := []byte{ 0x09, 0xED, 0x54, 0xEA, 0xED, 0x98, 0xF8, 0x4C, 0x55, 0x7B, 0x4A, 0x86, 0xBF, 0x4F, 0x57, 0x84, 0x93, 0xDC, 0xBC, 0x6B, 0xE9, 0x1D, 0xA1, 0x89, 0x37, 0x04, 0x04, 0xA9, 0x08, 0x72, 0x76, 0xF4, 0xCE, 0x51, 0xD8, 0xA1, 0x00, 0xED, 0x85, 0x7D, 0xC2, 0xB0, 0x64, 0x94, 0x74, 0xF3, 0xF1, 0x5C, 0xD2, 0x4C, 0x54, 0xDB, 0x28, 0x71, 0x10, 0xE5, 0x6E, 0x5C, 0xB0, 0x08, 0x68, 0x2F, 0x91, 0x68, 0xAA, 0x81, 0xF3, 0x14, 0x58, 0xB7, 0x43, 0x1E, 0xCC, 0x1C, 0x44, 0x90, 0x6F, 0xDA, 0x87, 0xCA, 0x89, 0x47, 0x10, 0xC3, 0x71, 0xE9, 0x07, 0x6C, 0x1D, 0x49, 0xFB, 0xAE, 0x51, 0x27, 0x69, 0x34, 0xF2, 0xAD, 0x78, 0x77, 0x89, 0xF4, 0x2D, 0x0F, 0xA0, 0xB4, 0xC9, 0x39, 0x85, 0x5D, 0x42, 0x12, 0x09, 0x6F, 0x70, 0x28, 0x0A, 0x4E, 0xAE, 0x7C, 0x8A, 0x27, 0xD9, 0xC8, 0xD0, 0x77, 0x2E, 0x65} dQ := []byte{ 0x8C, 0xB6, 0x85, 0x7A, 0x7B, 0xD5, 0x46, 0x5F, 0x80, 0x04, 0x7E, 0x9B, 0x87, 0xBC, 0x00, 0x27, 0x31, 0x84, 0x05, 0x81, 0xE0, 0x62, 0x61, 0x39, 0x01, 0x2A, 0x5B, 0x50, 0x5F, 0x0A, 0x33, 0x84, 0x7E, 0xB7, 0xB8, 0xC3, 0x28, 0x99, 0x49, 0xAD, 0x48, 0x6F, 0x3B, 0x4B, 0x3D, 0x53, 0x9A, 0xB5, 0xDA, 0x76, 0x30, 0x21, 0xCB, 0xC8, 0x2C, 0x1B, 0xA2, 0x34, 0xA5, 0x66, 0x8D, 0xED, 0x08, 0x01, 0xB8, 0x59, 0xF3, 0x43, 0xF1, 0xCE, 0x93, 0x04, 0xE6, 0xFA, 0xA2, 0xB0, 0x02, 0xCA, 0xD9, 0xB7, 0x8C, 0xDE, 0x5C, 0xDC, 0x2C, 0x1F, 0xB4, 0x17, 0x1C, 0x42, 0x42, 0x16, 0x70, 0xA6, 0xAB, 0x0F, 0x50, 0xCC, 0x4A, 0x19, 0x4E, 0xB3, 0x6D, 0x1C, 0x91, 0xE9, 0x35, 0xBA, 0x01, 0xB9, 0x59, 0xD8, 0x72, 0x8B, 0x9E, 0x64, 0x42, 0x6B, 0x3F, 0xC3, 0xA7, 0x50, 0x6D, 0xEB, 0x52, 0x39, 0xA8, 0xA7} return &PrivateKey{ pub: PublicKey{ N: N, E: 65537, }, d: d, p: p, q: q, qInv: qInv, dP: dP, dQ: dQ, } } var fipsSelfTest = sync.OnceFunc(func() { fips140.CAST("RSASSA-PKCS-v1.5 2048-bit sign and verify", func() error { k := testPrivateKey() hash := []byte{ 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f, 0x20, } want := []byte{ 0x16, 0x98, 0x33, 0xc7, 0x30, 0x2c, 0x0a, 0xdc, 0x0a, 0x8d, 0x02, 0x58, 0xeb, 0xf9, 0x7d, 0xb6, 0x2a, 0xad, 0xee, 0x63, 0x72, 0xaa, 0x37, 0x2c, 0xb3, 0x06, 0x04, 0xdf, 0xdb, 0x2b, 0xbc, 0xb1, 0x76, 0x3e, 0xeb, 0x87, 0xef, 0x91, 0xef, 0x74, 0x69, 0x62, 0x27, 0xf3, 0x24, 0xf8, 0xe7, 0x0e, 0xb2, 0x15, 0x3f, 0xa2, 0x4d, 0xe2, 0x0c, 0xd4, 0xdc, 0x2d, 0xc1, 0x1a, 0x84, 0x7c, 0x88, 0x80, 0xb9, 0xa9, 0x23, 0x67, 0x39, 0x2e, 0x86, 0xc0, 0x53, 0x9b, 0xc1, 0x35, 0xb3, 0x17, 0x5e, 0x62, 0x95, 0xd6, 0xbc, 0x2a, 0xa6, 0xb1, 0xcf, 0x8f, 0x99, 0x43, 0x1f, 0x3d, 0xd2, 0x70, 0x3f, 0x01, 0x37, 0x2b, 0xdd, 0x69, 0x1a, 0x5c, 0x2b, 0x04, 0x70, 0x92, 0xea, 0x2d, 0x86, 0x00, 0xcb, 0x79, 0xca, 0xaf, 0xa4, 0x1c, 0xd9, 0x61, 0x21, 0x3b, 0x1e, 0xc5, 0x88, 0xfb, 0xff, 0xbd, 0xc7, 0x3c, 0x36, 0xa1, 0xc6, 0x85, 0x03, 0xaf, 0x47, 0x4f, 0x42, 0x9e, 0x23, 0x65, 0x24, 0x69, 0x17, 0xdb, 0xe7, 0xb7, 0xdc, 0x51, 0xc6, 0x30, 0x40, 0x32, 0x4f, 0x71, 0xf1, 0x62, 0x2d, 0xaa, 0x98, 0xdb, 0x11, 0x14, 0xf9, 0x9c, 0x35, 0xc3, 0x16, 0xe1, 0x1a, 0xd1, 0x8c, 0x4d, 0x8c, 0xad, 0x06, 0x34, 0xd2, 0x84, 0x97, 0xa4, 0x0b, 0x6e, 0x6d, 0x19, 0x9f, 0xa7, 0x40, 0x1e, 0xb5, 0xfc, 0x4e, 0x12, 0x08, 0xec, 0xf4, 0x07, 0x13, 0xdc, 0x5a, 0x8c, 0xd5, 0x2a, 0xd6, 0x5a, 0x2c, 0xc9, 0x54, 0x84, 0x78, 0x34, 0x8f, 0x11, 0xfb, 0x6e, 0xd4, 0x27, 0x45, 0xd9, 0xfa, 0x90, 0x82, 0x83, 0x73, 0x22, 0x15, 0xab, 0x96, 0x13, 0x0d, 0x52, 0x1c, 0xdc, 0x17, 0xde, 0x12, 0x6f, 0x84, 0x46, 0xbb, 0xec, 0xe3, 0xb1, 0xa1, 0x5d, 0x8b, 0xeb, 0xe6, 0xae, 0x02, 0xb8, 0x76, 0x47, 0x76, 0x11, 0x61, 0x2b, } sig, err := signPKCS1v15(k, "SHA-256", hash) if err != nil { return err } if err := verifyPKCS1v15(k.PublicKey(), "SHA-256", hash, sig); err != nil { return err } if !bytes.Equal(sig, want) { return errors.New("unexpected result") } return nil }) })