// Copyright 2009 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_test import ( "bufio" "bytes" "crypto" "crypto/internal/boring" "crypto/rand" . "crypto/rsa" "crypto/sha1" "crypto/sha256" "crypto/x509" "encoding/pem" "flag" "fmt" "internal/testenv" "math/big" "strings" "testing" ) func TestKeyGeneration(t *testing.T) { for _, size := range []int{128, 1024, 2048, 3072} { priv, err := GenerateKey(rand.Reader, size) if err != nil { t.Errorf("GenerateKey(%d): %v", size, err) } if bits := priv.N.BitLen(); bits != size { t.Errorf("key too short (%d vs %d)", bits, size) } testKeyBasics(t, priv) if testing.Short() { break } } } func Test3PrimeKeyGeneration(t *testing.T) { size := 768 if testing.Short() { size = 256 } priv, err := GenerateMultiPrimeKey(rand.Reader, 3, size) if err != nil { t.Errorf("failed to generate key") } testKeyBasics(t, priv) } func Test4PrimeKeyGeneration(t *testing.T) { size := 768 if testing.Short() { size = 256 } priv, err := GenerateMultiPrimeKey(rand.Reader, 4, size) if err != nil { t.Errorf("failed to generate key") } testKeyBasics(t, priv) } func TestNPrimeKeyGeneration(t *testing.T) { primeSize := 64 maxN := 24 if testing.Short() { primeSize = 16 maxN = 16 } // Test that generation of N-prime keys works for N > 4. for n := 5; n < maxN; n++ { priv, err := GenerateMultiPrimeKey(rand.Reader, n, 64+n*primeSize) if err == nil { testKeyBasics(t, priv) } else { t.Errorf("failed to generate %d-prime key", n) } } } func TestImpossibleKeyGeneration(t *testing.T) { // This test ensures that trying to generate toy RSA keys doesn't enter // an infinite loop. for i := 0; i < 32; i++ { GenerateKey(rand.Reader, i) GenerateMultiPrimeKey(rand.Reader, 3, i) GenerateMultiPrimeKey(rand.Reader, 4, i) GenerateMultiPrimeKey(rand.Reader, 5, i) } } func TestGnuTLSKey(t *testing.T) { // This is a key generated by `certtool --generate-privkey --bits 128`. // It's such that de ≢ 1 mod φ(n), but is congruent mod the order of // the group. priv := parseKey(testingKey(`-----BEGIN RSA TESTING KEY----- MGECAQACEQDar8EuoZuSosYtE9SeXSyPAgMBAAECEBf7XDET8e6jjTcfO7y/sykC CQDozXjCjkBzLQIJAPB6MqNbZaQrAghbZTdQoko5LQIIUp9ZiKDdYjMCCCCpqzmX d8Y7 -----END RSA TESTING KEY-----`)) testKeyBasics(t, priv) } func testKeyBasics(t *testing.T, priv *PrivateKey) { if err := priv.Validate(); err != nil { t.Errorf("Validate() failed: %s", err) } if priv.D.Cmp(priv.N) > 0 { t.Errorf("private exponent too large") } msg := []byte("hi!") enc, err := EncryptPKCS1v15(rand.Reader, &priv.PublicKey, msg) if err != nil { t.Errorf("EncryptPKCS1v15: %v", err) return } dec, err := DecryptPKCS1v15(nil, priv, enc) if err != nil { t.Errorf("DecryptPKCS1v15: %v", err) return } if !bytes.Equal(dec, msg) { t.Errorf("got:%x want:%x (%+v)", dec, msg, priv) } } func TestAllocations(t *testing.T) { if boring.Enabled { t.Skip("skipping allocations test with BoringCrypto") } testenv.SkipIfOptimizationOff(t) m := []byte("Hello Gophers") c, err := EncryptPKCS1v15(rand.Reader, &test2048Key.PublicKey, m) if err != nil { t.Fatal(err) } if allocs := testing.AllocsPerRun(100, func() { p, err := DecryptPKCS1v15(nil, test2048Key, c) if err != nil { t.Fatal(err) } if !bytes.Equal(p, m) { t.Fatalf("unexpected output: %q", p) } }); allocs > 10 { t.Errorf("expected less than 10 allocations, got %0.1f", allocs) } } var allFlag = flag.Bool("all", false, "test all key sizes up to 2048") func TestEverything(t *testing.T) { min := 32 max := 560 // any smaller than this and not all tests will run if testing.Short() { min = max } if *allFlag { max = 2048 } for size := min; size <= max; size++ { size := size t.Run(fmt.Sprintf("%d", size), func(t *testing.T) { t.Parallel() priv, err := GenerateKey(rand.Reader, size) if err != nil { t.Errorf("GenerateKey(%d): %v", size, err) } if bits := priv.N.BitLen(); bits != size { t.Errorf("key too short (%d vs %d)", bits, size) } testEverything(t, priv) }) } } func testEverything(t *testing.T, priv *PrivateKey) { if err := priv.Validate(); err != nil { t.Errorf("Validate() failed: %s", err) } msg := []byte("test") enc, err := EncryptPKCS1v15(rand.Reader, &priv.PublicKey, msg) if err == ErrMessageTooLong { t.Log("key too small for EncryptPKCS1v15") } else if err != nil { t.Errorf("EncryptPKCS1v15: %v", err) } if err == nil { dec, err := DecryptPKCS1v15(nil, priv, enc) if err != nil { t.Errorf("DecryptPKCS1v15: %v", err) } err = DecryptPKCS1v15SessionKey(nil, priv, enc, make([]byte, 4)) if err != nil { t.Errorf("DecryptPKCS1v15SessionKey: %v", err) } if !bytes.Equal(dec, msg) { t.Errorf("got:%x want:%x (%+v)", dec, msg, priv) } } label := []byte("label") enc, err = EncryptOAEP(sha256.New(), rand.Reader, &priv.PublicKey, msg, label) if err == ErrMessageTooLong { t.Log("key too small for EncryptOAEP") } else if err != nil { t.Errorf("EncryptOAEP: %v", err) } if err == nil { dec, err := DecryptOAEP(sha256.New(), nil, priv, enc, label) if err != nil { t.Errorf("DecryptOAEP: %v", err) } if !bytes.Equal(dec, msg) { t.Errorf("got:%x want:%x (%+v)", dec, msg, priv) } } hash := sha256.Sum256(msg) sig, err := SignPKCS1v15(nil, priv, crypto.SHA256, hash[:]) if err == ErrMessageTooLong { t.Log("key too small for SignPKCS1v15") } else if err != nil { t.Errorf("SignPKCS1v15: %v", err) } if err == nil { err = VerifyPKCS1v15(&priv.PublicKey, crypto.SHA256, hash[:], sig) if err != nil { t.Errorf("VerifyPKCS1v15: %v", err) } sig[1] ^= 0x80 err = VerifyPKCS1v15(&priv.PublicKey, crypto.SHA256, hash[:], sig) if err == nil { t.Errorf("VerifyPKCS1v15 success for tampered signature") } sig[1] ^= 0x80 hash[1] ^= 0x80 err = VerifyPKCS1v15(&priv.PublicKey, crypto.SHA256, hash[:], sig) if err == nil { t.Errorf("VerifyPKCS1v15 success for tampered message") } hash[1] ^= 0x80 } opts := &PSSOptions{SaltLength: PSSSaltLengthAuto} sig, err = SignPSS(rand.Reader, priv, crypto.SHA256, hash[:], opts) if err == ErrMessageTooLong { t.Log("key too small for SignPSS with PSSSaltLengthAuto") } else if err != nil { t.Errorf("SignPSS: %v", err) } if err == nil { err = VerifyPSS(&priv.PublicKey, crypto.SHA256, hash[:], sig, opts) if err != nil { t.Errorf("VerifyPSS: %v", err) } sig[1] ^= 0x80 err = VerifyPSS(&priv.PublicKey, crypto.SHA256, hash[:], sig, opts) if err == nil { t.Errorf("VerifyPSS success for tampered signature") } sig[1] ^= 0x80 hash[1] ^= 0x80 err = VerifyPSS(&priv.PublicKey, crypto.SHA256, hash[:], sig, opts) if err == nil { t.Errorf("VerifyPSS success for tampered message") } hash[1] ^= 0x80 } opts.SaltLength = PSSSaltLengthEqualsHash sig, err = SignPSS(rand.Reader, priv, crypto.SHA256, hash[:], opts) if err == ErrMessageTooLong { t.Log("key too small for SignPSS with PSSSaltLengthEqualsHash") } else if err != nil { t.Errorf("SignPSS: %v", err) } if err == nil { err = VerifyPSS(&priv.PublicKey, crypto.SHA256, hash[:], sig, opts) if err != nil { t.Errorf("VerifyPSS: %v", err) } sig[1] ^= 0x80 err = VerifyPSS(&priv.PublicKey, crypto.SHA256, hash[:], sig, opts) if err == nil { t.Errorf("VerifyPSS success for tampered signature") } sig[1] ^= 0x80 hash[1] ^= 0x80 err = VerifyPSS(&priv.PublicKey, crypto.SHA256, hash[:], sig, opts) if err == nil { t.Errorf("VerifyPSS success for tampered message") } hash[1] ^= 0x80 } // Check that an input bigger than the modulus is handled correctly, // whether it is longer than the byte size of the modulus or not. c := bytes.Repeat([]byte{0xff}, priv.Size()) err = VerifyPSS(&priv.PublicKey, crypto.SHA256, hash[:], c, opts) if err == nil { t.Errorf("VerifyPSS accepted a large signature") } _, err = DecryptPKCS1v15(nil, priv, c) if err == nil { t.Errorf("DecryptPKCS1v15 accepted a large ciphertext") } c = append(c, 0xff) err = VerifyPSS(&priv.PublicKey, crypto.SHA256, hash[:], c, opts) if err == nil { t.Errorf("VerifyPSS accepted a long signature") } _, err = DecryptPKCS1v15(nil, priv, c) if err == nil { t.Errorf("DecryptPKCS1v15 accepted a long ciphertext") } } func testingKey(s string) string { return strings.ReplaceAll(s, "TESTING KEY", "PRIVATE KEY") } func parseKey(s string) *PrivateKey { p, _ := pem.Decode([]byte(s)) k, err := x509.ParsePKCS1PrivateKey(p.Bytes) if err != nil { panic(err) } return k } var test2048Key = parseKey(testingKey(`-----BEGIN RSA TESTING KEY----- MIIEnwIBAAKCAQBxY8hCshkKiXCUKydkrtQtQSRke28w4JotocDiVqou4k55DEDJ akvWbXXDcakV4HA8R2tOGgbxvTjFo8EK470w9O9ipapPUSrRRaBsSOlkaaIs6OYh 4FLwZpqMNBVVEtguVUR/C34Y2pS9kRrHs6q+cGhDZolkWT7nGy5eSEvPDHg0EBq1 1hu6HmPmI3r0BInONqJg2rcK3U++wk1lnbD3ysCZsKOqRUms3n/IWKeTqXXmz2XK J2t0NSXwiDmA9q0Gm+w0bXh3lzhtUP4MlzS+lnx9hK5bjzSbCUB5RXwMDG/uNMQq C4MmA4BPceSfMyAIFjdRLGy/K7gbb2viOYRtAgEDAoIBAEuX2tchZgcGSw1yGkMf OB4rbZhSSiCVvB5r1ew5xsnsNFCy1ducMo7zo9ehG2Pq9X2E8jQRWfZ+JdkX1gdC fiCjSkHDxt+LceDZFZ2F8O2bwXNF7sFAN0rvEbLNY44MkB7jgv9c/rs8YykLZy/N HH71mteZsO2Q1JoSHumFh99cwWHFhLxYh64qFeeH6Gqx6AM2YVBWHgs7OuKOvc8y zUbf8xftPht1kMwwDR1XySiEYtBtn74JflK3DcT8oxOuCZBuX6sMJHKbVP41zDj+ FJZBmpAvNfCEYJUr1Hg+DpMLqLUg+D6v5vpliburbk9LxcKFZyyZ9QVe7GoqMLBu eGsCgYEAummUj4MMKWJC2mv5rj/dt2pj2/B2HtP2RLypai4et1/Ru9nNk8cjMLzC 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azHq/qv4lOcIsYZ4eRRTLkybZqbagGREqaXi5XWBGIAoBLaSlyQJw4y2ExlZc2gS j6ahAoIBAQCwzdsL1mumHfMI050X4Kw2L3LNCBoMwCkL7xpHAT1d7fYSg39aL4+3 f9j6pBmzvVjhZbRrRoMc8TH31XO3T5lptCV4+l+AIe8WA5BVmRNXZX2ia0IBhDj6 4whW3eqTvOpQIvrnyfteMgeo1mLPzIdOcPTW0dtmwC/pOr7Obergmvj69NlVfDhL cXBn/diBqDDK/z1yMsDu0nfPE7tby8L4cGeu14s7+jLv3e/CP0mwsFChwOueZfdv h+EfNtoUpnPDBQeZDoXHrA40aP+ILOwpc5bWuzIw+VC6PfgvkBrXgBwcTZFNNh73 h4+Sja3t84it1/k7lAjIAg70O8mthJXvAoIBAQDUUqWxqQN76gY2CPuXrwIvWvfP Z9U2Lv5ZTmY75L20CWRY0os0hAF68vCwxLpfeUMUTSokwa5L/l1gHwA2Zqm1977W 9wV2Iiyqmkz9u3fu5YNOlezSoffOvAf/GUvSQ9HJ/VGqFdy2bC6NE81HRxojxeeY 7ZmNlJrcsupyWmpUTpAd4cRVaCjcZQRoj+uIYCbgtV6/RD5VXHcPTd9wR7pjZPv7 239qVdVU4ahkSZP6ikeN/wOEegWS0i/cKSgYmLBpWFGze3EKvHdEzurqPNCr5zo2 jd7HGMtCpvqFx/7wUl09ac/kHeY+Ob2KduWinSPm5+jI6dPohnGx/wBEVCWh -----END RSA TESTING KEY-----`)) func BenchmarkDecryptPKCS1v15(b *testing.B) { b.Run("2048", func(b *testing.B) { benchmarkDecryptPKCS1v15(b, test2048Key) }) b.Run("3072", func(b *testing.B) { benchmarkDecryptPKCS1v15(b, test3072Key) }) b.Run("4096", func(b *testing.B) { benchmarkDecryptPKCS1v15(b, test4096Key) }) } func benchmarkDecryptPKCS1v15(b *testing.B, k *PrivateKey) { r := bufio.NewReaderSize(rand.Reader, 1<<15) m := []byte("Hello Gophers") c, err := EncryptPKCS1v15(r, &k.PublicKey, m) if err != nil { b.Fatal(err) } b.ResetTimer() var sink byte for i := 0; i < b.N; i++ { p, err := DecryptPKCS1v15(r, k, c) if err != nil { b.Fatal(err) } if !bytes.Equal(p, m) { b.Fatalf("unexpected output: %q", p) } sink ^= p[0] } } func BenchmarkEncryptPKCS1v15(b *testing.B) { b.Run("2048", func(b *testing.B) { r := bufio.NewReaderSize(rand.Reader, 1<<15) m := []byte("Hello Gophers") var sink byte for i := 0; i < b.N; i++ { c, err := EncryptPKCS1v15(r, &test2048Key.PublicKey, m) if err != nil { b.Fatal(err) } sink ^= c[0] } }) } func BenchmarkDecryptOAEP(b *testing.B) { b.Run("2048", func(b *testing.B) { r := bufio.NewReaderSize(rand.Reader, 1<<15) m := []byte("Hello Gophers") c, err := EncryptOAEP(sha256.New(), r, &test2048Key.PublicKey, m, nil) if err != nil { b.Fatal(err) } b.ResetTimer() var sink byte for i := 0; i < b.N; i++ { p, err := DecryptOAEP(sha256.New(), r, test2048Key, c, nil) if err != nil { b.Fatal(err) } if !bytes.Equal(p, m) { b.Fatalf("unexpected output: %q", p) } sink ^= p[0] } }) } func BenchmarkEncryptOAEP(b *testing.B) { b.Run("2048", func(b *testing.B) { r := bufio.NewReaderSize(rand.Reader, 1<<15) m := []byte("Hello Gophers") var sink byte for i := 0; i < b.N; i++ { c, err := EncryptOAEP(sha256.New(), r, &test2048Key.PublicKey, m, nil) if err != nil { b.Fatal(err) } sink ^= c[0] } }) } func BenchmarkSignPKCS1v15(b *testing.B) { b.Run("2048", func(b *testing.B) { hashed := sha256.Sum256([]byte("testing")) var sink byte b.ResetTimer() for i := 0; i < b.N; i++ { s, err := SignPKCS1v15(rand.Reader, test2048Key, crypto.SHA256, hashed[:]) if err != nil { b.Fatal(err) } sink ^= s[0] } }) } func BenchmarkVerifyPKCS1v15(b *testing.B) { b.Run("2048", func(b *testing.B) { hashed := sha256.Sum256([]byte("testing")) s, err := SignPKCS1v15(rand.Reader, test2048Key, crypto.SHA256, hashed[:]) if err != nil { b.Fatal(err) } b.ResetTimer() for i := 0; i < b.N; i++ { err := VerifyPKCS1v15(&test2048Key.PublicKey, crypto.SHA256, hashed[:], s) if err != nil { b.Fatal(err) } } }) } func BenchmarkSignPSS(b *testing.B) { b.Run("2048", func(b *testing.B) { hashed := sha256.Sum256([]byte("testing")) var sink byte b.ResetTimer() for i := 0; i < b.N; i++ { s, err := SignPSS(rand.Reader, test2048Key, crypto.SHA256, hashed[:], nil) if err != nil { b.Fatal(err) } sink ^= s[0] } }) } func BenchmarkVerifyPSS(b *testing.B) { b.Run("2048", func(b *testing.B) { hashed := sha256.Sum256([]byte("testing")) s, err := SignPSS(rand.Reader, test2048Key, crypto.SHA256, hashed[:], nil) if err != nil { b.Fatal(err) } b.ResetTimer() for i := 0; i < b.N; i++ { err := VerifyPSS(&test2048Key.PublicKey, crypto.SHA256, hashed[:], s, nil) if err != nil { b.Fatal(err) } } }) } type testEncryptOAEPMessage struct { in []byte seed []byte out []byte } type testEncryptOAEPStruct struct { modulus string e int d string msgs []testEncryptOAEPMessage } func TestEncryptOAEP(t *testing.T) { sha1 := sha1.New() n := new(big.Int) for i, test := range testEncryptOAEPData { n.SetString(test.modulus, 16) public := PublicKey{N: n, E: test.e} for j, message := range test.msgs { randomSource := bytes.NewReader(message.seed) out, err := EncryptOAEP(sha1, randomSource, &public, message.in, nil) if err != nil { t.Errorf("#%d,%d error: %s", i, j, err) } if !bytes.Equal(out, message.out) { t.Errorf("#%d,%d bad result: %x (want %x)", i, j, out, message.out) } } } } func TestDecryptOAEP(t *testing.T) { random := rand.Reader sha1 := sha1.New() n := new(big.Int) d := new(big.Int) for i, test := range testEncryptOAEPData { n.SetString(test.modulus, 16) d.SetString(test.d, 16) private := new(PrivateKey) private.PublicKey = PublicKey{N: n, E: test.e} private.D = d for j, message := range test.msgs { out, err := DecryptOAEP(sha1, nil, private, message.out, nil) if err != nil { t.Errorf("#%d,%d error: %s", i, j, err) } else if !bytes.Equal(out, message.in) { t.Errorf("#%d,%d bad result: %#v (want %#v)", i, j, out, message.in) } // Decrypt with blinding. out, err = DecryptOAEP(sha1, random, private, message.out, nil) if err != nil { t.Errorf("#%d,%d (blind) error: %s", i, j, err) } else if !bytes.Equal(out, message.in) { t.Errorf("#%d,%d (blind) bad result: %#v (want %#v)", i, j, out, message.in) } } if testing.Short() { break } } } func Test2DecryptOAEP(t *testing.T) { random := rand.Reader msg := []byte{0xed, 0x36, 0x90, 0x8d, 0xbe, 0xfc, 0x35, 0x40, 0x70, 0x4f, 0xf5, 0x9d, 0x6e, 0xc2, 0xeb, 0xf5, 0x27, 0xae, 0x65, 0xb0, 0x59, 0x29, 0x45, 0x25, 0x8c, 0xc1, 0x91, 0x22} in := []byte{0x72, 0x26, 0x84, 0xc9, 0xcf, 0xd6, 0xa8, 0x96, 0x04, 0x3e, 0x34, 0x07, 0x2c, 0x4f, 0xe6, 0x52, 0xbe, 0x46, 0x3c, 0xcf, 0x79, 0x21, 0x09, 0x64, 0xe7, 0x33, 0x66, 0x9b, 0xf8, 0x14, 0x22, 0x43, 0xfe, 0x8e, 0x52, 0x8b, 0xe0, 0x5f, 0x98, 0xef, 0x54, 0xac, 0x6b, 0xc6, 0x26, 0xac, 0x5b, 0x1b, 0x4b, 0x7d, 0x2e, 0xd7, 0x69, 0x28, 0x5a, 0x2f, 0x4a, 0x95, 0x89, 0x6c, 0xc7, 0x53, 0x95, 0xc7, 0xd2, 0x89, 0x04, 0x6f, 0x94, 0x74, 0x9b, 0x09, 0x0d, 0xf4, 0x61, 0x2e, 0xab, 0x48, 0x57, 0x4a, 0xbf, 0x95, 0xcb, 0xff, 0x15, 0xe2, 0xa0, 0x66, 0x58, 0xf7, 0x46, 0xf8, 0xc7, 0x0b, 0xb5, 0x1e, 0xa7, 0xba, 0x36, 0xce, 0xdd, 0x36, 0x41, 0x98, 0x6e, 0x10, 0xf9, 0x3b, 0x70, 0xbb, 0xa1, 0xda, 0x00, 0x40, 0xd5, 0xa5, 0x3f, 0x87, 0x64, 0x32, 0x7c, 0xbc, 0x50, 0x52, 0x0e, 0x4f, 0x21, 0xbd} n := new(big.Int) d := new(big.Int) n.SetString(testEncryptOAEPData[0].modulus, 16) d.SetString(testEncryptOAEPData[0].d, 16) priv := new(PrivateKey) priv.PublicKey = PublicKey{N: n, E: testEncryptOAEPData[0].e} priv.D = d sha1 := crypto.SHA1 sha256 := crypto.SHA256 out, err := priv.Decrypt(random, in, &OAEPOptions{MGFHash: sha1, Hash: sha256}) if err != nil { t.Errorf("error: %s", err) } else if !bytes.Equal(out, msg) { t.Errorf("bad result %#v (want %#v)", out, msg) } } func TestEncryptDecryptOAEP(t *testing.T) { sha256 := sha256.New() n := new(big.Int) d := new(big.Int) for i, test := range testEncryptOAEPData { n.SetString(test.modulus, 16) d.SetString(test.d, 16) priv := new(PrivateKey) priv.PublicKey = PublicKey{N: n, E: test.e} priv.D = d for j, message := range test.msgs { label := []byte(fmt.Sprintf("hi#%d", j)) enc, err := EncryptOAEP(sha256, rand.Reader, &priv.PublicKey, message.in, label) if err != nil { t.Errorf("#%d,%d: EncryptOAEP: %v", i, j, err) continue } dec, err := DecryptOAEP(sha256, rand.Reader, priv, enc, label) if err != nil { t.Errorf("#%d,%d: DecryptOAEP: %v", i, j, err) continue } if !bytes.Equal(dec, message.in) { t.Errorf("#%d,%d: round trip %q -> %q", i, j, message.in, dec) } } } } // testEncryptOAEPData contains a subset of the vectors from RSA's "Test vectors for RSA-OAEP". var testEncryptOAEPData = []testEncryptOAEPStruct{ // Key 1 {"a8b3b284af8eb50b387034a860f146c4919f318763cd6c5598c8ae4811a1e0abc4c7e0b082d693a5e7fced675cf4668512772c0cbc64a742c6c630f533c8cc72f62ae833c40bf25842e984bb78bdbf97c0107d55bdb662f5c4e0fab9845cb5148ef7392dd3aaff93ae1e6b667bb3d4247616d4f5ba10d4cfd226de88d39f16fb", 65537, "53339cfdb79fc8466a655c7316aca85c55fd8f6dd898fdaf119517ef4f52e8fd8e258df93fee180fa0e4ab29693cd83b152a553d4ac4d1812b8b9fa5af0e7f55fe7304df41570926f3311f15c4d65a732c483116ee3d3d2d0af3549ad9bf7cbfb78ad884f84d5beb04724dc7369b31def37d0cf539e9cfcdd3de653729ead5d1", []testEncryptOAEPMessage{ // Example 1.1 { []byte{0x66, 0x28, 0x19, 0x4e, 0x12, 0x07, 0x3d, 0xb0, 0x3b, 0xa9, 0x4c, 0xda, 0x9e, 0xf9, 0x53, 0x23, 0x97, 0xd5, 0x0d, 0xba, 0x79, 0xb9, 0x87, 0x00, 0x4a, 0xfe, 0xfe, 0x34, }, []byte{0x18, 0xb7, 0x76, 0xea, 0x21, 0x06, 0x9d, 0x69, 0x77, 0x6a, 0x33, 0xe9, 0x6b, 0xad, 0x48, 0xe1, 0xdd, 0xa0, 0xa5, 0xef, }, []byte{0x35, 0x4f, 0xe6, 0x7b, 0x4a, 0x12, 0x6d, 0x5d, 0x35, 0xfe, 0x36, 0xc7, 0x77, 0x79, 0x1a, 0x3f, 0x7b, 0xa1, 0x3d, 0xef, 0x48, 0x4e, 0x2d, 0x39, 0x08, 0xaf, 0xf7, 0x22, 0xfa, 0xd4, 0x68, 0xfb, 0x21, 0x69, 0x6d, 0xe9, 0x5d, 0x0b, 0xe9, 0x11, 0xc2, 0xd3, 0x17, 0x4f, 0x8a, 0xfc, 0xc2, 0x01, 0x03, 0x5f, 0x7b, 0x6d, 0x8e, 0x69, 0x40, 0x2d, 0xe5, 0x45, 0x16, 0x18, 0xc2, 0x1a, 0x53, 0x5f, 0xa9, 0xd7, 0xbf, 0xc5, 0xb8, 0xdd, 0x9f, 0xc2, 0x43, 0xf8, 0xcf, 0x92, 0x7d, 0xb3, 0x13, 0x22, 0xd6, 0xe8, 0x81, 0xea, 0xa9, 0x1a, 0x99, 0x61, 0x70, 0xe6, 0x57, 0xa0, 0x5a, 0x26, 0x64, 0x26, 0xd9, 0x8c, 0x88, 0x00, 0x3f, 0x84, 0x77, 0xc1, 0x22, 0x70, 0x94, 0xa0, 0xd9, 0xfa, 0x1e, 0x8c, 0x40, 0x24, 0x30, 0x9c, 0xe1, 0xec, 0xcc, 0xb5, 0x21, 0x00, 0x35, 0xd4, 0x7a, 0xc7, 0x2e, 0x8a, }, }, // Example 1.2 { []byte{0x75, 0x0c, 0x40, 0x47, 0xf5, 0x47, 0xe8, 0xe4, 0x14, 0x11, 0x85, 0x65, 0x23, 0x29, 0x8a, 0xc9, 0xba, 0xe2, 0x45, 0xef, 0xaf, 0x13, 0x97, 0xfb, 0xe5, 0x6f, 0x9d, 0xd5, }, []byte{0x0c, 0xc7, 0x42, 0xce, 0x4a, 0x9b, 0x7f, 0x32, 0xf9, 0x51, 0xbc, 0xb2, 0x51, 0xef, 0xd9, 0x25, 0xfe, 0x4f, 0xe3, 0x5f, }, []byte{0x64, 0x0d, 0xb1, 0xac, 0xc5, 0x8e, 0x05, 0x68, 0xfe, 0x54, 0x07, 0xe5, 0xf9, 0xb7, 0x01, 0xdf, 0xf8, 0xc3, 0xc9, 0x1e, 0x71, 0x6c, 0x53, 0x6f, 0xc7, 0xfc, 0xec, 0x6c, 0xb5, 0xb7, 0x1c, 0x11, 0x65, 0x98, 0x8d, 0x4a, 0x27, 0x9e, 0x15, 0x77, 0xd7, 0x30, 0xfc, 0x7a, 0x29, 0x93, 0x2e, 0x3f, 0x00, 0xc8, 0x15, 0x15, 0x23, 0x6d, 0x8d, 0x8e, 0x31, 0x01, 0x7a, 0x7a, 0x09, 0xdf, 0x43, 0x52, 0xd9, 0x04, 0xcd, 0xeb, 0x79, 0xaa, 0x58, 0x3a, 0xdc, 0xc3, 0x1e, 0xa6, 0x98, 0xa4, 0xc0, 0x52, 0x83, 0xda, 0xba, 0x90, 0x89, 0xbe, 0x54, 0x91, 0xf6, 0x7c, 0x1a, 0x4e, 0xe4, 0x8d, 0xc7, 0x4b, 0xbb, 0xe6, 0x64, 0x3a, 0xef, 0x84, 0x66, 0x79, 0xb4, 0xcb, 0x39, 0x5a, 0x35, 0x2d, 0x5e, 0xd1, 0x15, 0x91, 0x2d, 0xf6, 0x96, 0xff, 0xe0, 0x70, 0x29, 0x32, 0x94, 0x6d, 0x71, 0x49, 0x2b, 0x44, }, }, // Example 1.3 { []byte{0xd9, 0x4a, 0xe0, 0x83, 0x2e, 0x64, 0x45, 0xce, 0x42, 0x33, 0x1c, 0xb0, 0x6d, 0x53, 0x1a, 0x82, 0xb1, 0xdb, 0x4b, 0xaa, 0xd3, 0x0f, 0x74, 0x6d, 0xc9, 0x16, 0xdf, 0x24, 0xd4, 0xe3, 0xc2, 0x45, 0x1f, 0xff, 0x59, 0xa6, 0x42, 0x3e, 0xb0, 0xe1, 0xd0, 0x2d, 0x4f, 0xe6, 0x46, 0xcf, 0x69, 0x9d, 0xfd, 0x81, 0x8c, 0x6e, 0x97, 0xb0, 0x51, }, []byte{0x25, 0x14, 0xdf, 0x46, 0x95, 0x75, 0x5a, 0x67, 0xb2, 0x88, 0xea, 0xf4, 0x90, 0x5c, 0x36, 0xee, 0xc6, 0x6f, 0xd2, 0xfd, }, []byte{0x42, 0x37, 0x36, 0xed, 0x03, 0x5f, 0x60, 0x26, 0xaf, 0x27, 0x6c, 0x35, 0xc0, 0xb3, 0x74, 0x1b, 0x36, 0x5e, 0x5f, 0x76, 0xca, 0x09, 0x1b, 0x4e, 0x8c, 0x29, 0xe2, 0xf0, 0xbe, 0xfe, 0xe6, 0x03, 0x59, 0x5a, 0xa8, 0x32, 0x2d, 0x60, 0x2d, 0x2e, 0x62, 0x5e, 0x95, 0xeb, 0x81, 0xb2, 0xf1, 0xc9, 0x72, 0x4e, 0x82, 0x2e, 0xca, 0x76, 0xdb, 0x86, 0x18, 0xcf, 0x09, 0xc5, 0x34, 0x35, 0x03, 0xa4, 0x36, 0x08, 0x35, 0xb5, 0x90, 0x3b, 0xc6, 0x37, 0xe3, 0x87, 0x9f, 0xb0, 0x5e, 0x0e, 0xf3, 0x26, 0x85, 0xd5, 0xae, 0xc5, 0x06, 0x7c, 0xd7, 0xcc, 0x96, 0xfe, 0x4b, 0x26, 0x70, 0xb6, 0xea, 0xc3, 0x06, 0x6b, 0x1f, 0xcf, 0x56, 0x86, 0xb6, 0x85, 0x89, 0xaa, 0xfb, 0x7d, 0x62, 0x9b, 0x02, 0xd8, 0xf8, 0x62, 0x5c, 0xa3, 0x83, 0x36, 0x24, 0xd4, 0x80, 0x0f, 0xb0, 0x81, 0xb1, 0xcf, 0x94, 0xeb, }, }, }, }, // Key 10 {"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", 65537, "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", []testEncryptOAEPMessage{ // Example 10.1 { []byte{0x8b, 0xba, 0x6b, 0xf8, 0x2a, 0x6c, 0x0f, 0x86, 0xd5, 0xf1, 0x75, 0x6e, 0x97, 0x95, 0x68, 0x70, 0xb0, 0x89, 0x53, 0xb0, 0x6b, 0x4e, 0xb2, 0x05, 0xbc, 0x16, 0x94, 0xee, }, []byte{0x47, 0xe1, 0xab, 0x71, 0x19, 0xfe, 0xe5, 0x6c, 0x95, 0xee, 0x5e, 0xaa, 0xd8, 0x6f, 0x40, 0xd0, 0xaa, 0x63, 0xbd, 0x33, }, []byte{0x53, 0xea, 0x5d, 0xc0, 0x8c, 0xd2, 0x60, 0xfb, 0x3b, 0x85, 0x85, 0x67, 0x28, 0x7f, 0xa9, 0x15, 0x52, 0xc3, 0x0b, 0x2f, 0xeb, 0xfb, 0xa2, 0x13, 0xf0, 0xae, 0x87, 0x70, 0x2d, 0x06, 0x8d, 0x19, 0xba, 0xb0, 0x7f, 0xe5, 0x74, 0x52, 0x3d, 0xfb, 0x42, 0x13, 0x9d, 0x68, 0xc3, 0xc5, 0xaf, 0xee, 0xe0, 0xbf, 0xe4, 0xcb, 0x79, 0x69, 0xcb, 0xf3, 0x82, 0xb8, 0x04, 0xd6, 0xe6, 0x13, 0x96, 0x14, 0x4e, 0x2d, 0x0e, 0x60, 0x74, 0x1f, 0x89, 0x93, 0xc3, 0x01, 0x4b, 0x58, 0xb9, 0xb1, 0x95, 0x7a, 0x8b, 0xab, 0xcd, 0x23, 0xaf, 0x85, 0x4f, 0x4c, 0x35, 0x6f, 0xb1, 0x66, 0x2a, 0xa7, 0x2b, 0xfc, 0xc7, 0xe5, 0x86, 0x55, 0x9d, 0xc4, 0x28, 0x0d, 0x16, 0x0c, 0x12, 0x67, 0x85, 0xa7, 0x23, 0xeb, 0xee, 0xbe, 0xff, 0x71, 0xf1, 0x15, 0x94, 0x44, 0x0a, 0xae, 0xf8, 0x7d, 0x10, 0x79, 0x3a, 0x87, 0x74, 0xa2, 0x39, 0xd4, 0xa0, 0x4c, 0x87, 0xfe, 0x14, 0x67, 0xb9, 0xda, 0xf8, 0x52, 0x08, 0xec, 0x6c, 0x72, 0x55, 0x79, 0x4a, 0x96, 0xcc, 0x29, 0x14, 0x2f, 0x9a, 0x8b, 0xd4, 0x18, 0xe3, 0xc1, 0xfd, 0x67, 0x34, 0x4b, 0x0c, 0xd0, 0x82, 0x9d, 0xf3, 0xb2, 0xbe, 0xc6, 0x02, 0x53, 0x19, 0x62, 0x93, 0xc6, 0xb3, 0x4d, 0x3f, 0x75, 0xd3, 0x2f, 0x21, 0x3d, 0xd4, 0x5c, 0x62, 0x73, 0xd5, 0x05, 0xad, 0xf4, 0xcc, 0xed, 0x10, 0x57, 0xcb, 0x75, 0x8f, 0xc2, 0x6a, 0xee, 0xfa, 0x44, 0x12, 0x55, 0xed, 0x4e, 0x64, 0xc1, 0x99, 0xee, 0x07, 0x5e, 0x7f, 0x16, 0x64, 0x61, 0x82, 0xfd, 0xb4, 0x64, 0x73, 0x9b, 0x68, 0xab, 0x5d, 0xaf, 0xf0, 0xe6, 0x3e, 0x95, 0x52, 0x01, 0x68, 0x24, 0xf0, 0x54, 0xbf, 0x4d, 0x3c, 0x8c, 0x90, 0xa9, 0x7b, 0xb6, 0xb6, 0x55, 0x32, 0x84, 0xeb, 0x42, 0x9f, 0xcc, }, }, }, }, }