| // 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)) |
| if p.Type == "PRIVATE KEY" { |
| k, err := x509.ParsePKCS8PrivateKey(p.Bytes) |
| if err != nil { |
| panic(err) |
| } |
| return k.(*PrivateKey) |
| } |
| k, err := x509.ParsePKCS1PrivateKey(p.Bytes) |
| if err != nil { |
| panic(err) |
| } |
| return k |
| } |
| |
| var test2048Key = parseKey(testingKey(`-----BEGIN TESTING KEY----- |
| MIIEvQIBADANBgkqhkiG9w0BAQEFAASCBKcwggSjAgEAAoIBAQDNoyFUYeDuqw+k |
| iyv47iBy/udbWmQdpbUZ8JobHv8uQrvL7sQN6l83teHgNJsXqtiLF3MC+K+XI6Dq |
| hxUWfQwLip8WEnv7Jx/+53S8yp/CS4Jw86Q1bQHbZjFDpcoqSuwAxlegw18HNZCY |
| fpipYnA1lYCm+MTjtgXJQbjA0dwUGCf4BDMqt+76Jk3XZF5975rftbkGoT9eu8Jt |
| Xs5F5Xkwd8q3fkQz+fpLW4u9jrfFyQ61RRFkYrCjlhtGjYIzBHGgQM4n/sNXhiy5 |
| h0tA7Xa6NyYrN/OXe/Y1K8Rz/tzlvbMoxgZgtBuKo1N3m8ckFi7hUVK2eNv7GoAb |
| teTTPrg/AgMBAAECggEAAnfsVpmsL3R0Bh4gXRpPeM63H6e1a8B8kyVwiO9o0cXX |
| gKp9+P39izfB0Kt6lyCj/Wg+wOQT7rg5qy1yIw7fBHGmcjquxh3uN0s3YZ+Vcym6 |
| SAY5f0vh/OyJN9r3Uv8+Pc4jtb7So7QDzdWeZurssBmUB0avAMRdGNFGP5SyILcz |
| l3Q59hTxQ4czRHKjZ06L1/sA+tFVbO1j39FN8nMOU/ovLF4lAmZTkQ6AP6n6XPHP |
| B8Nq7jSYz6RDO200jzp6UsdrnjjkJRbzOxN/fn+ckCP+WYuq+y/d05ET9PdVa4qI |
| Jyr80D9QgHmfztcecvYwoskGnkb2F4Tmp0WnAj/xVQKBgQD4TrMLyyHdbAr5hoSi |
| p+r7qBQxnHxPe2FKO7aqagi4iPEHauEDgwPIcsOYota1ACiSs3BaESdJAClbqPYd |
| HDI4c2DZ6opux6WYkSju+tVXYW6qarR3fzrP3fUCdz2c2NfruWOqq8YmjzAhTNPm |
| YzvtzTdwheNYV0Vi71t1SfZmfQKBgQDUAgSUcrgXdGDnSbaNe6KwjY5oZWOQfZe2 |
| DUhqfN/JRFZj+EMfIIh6OQXnZqkp0FeRdfRAFl8Yz8ESHEs4j+TikLJEeOdfmYLS |
| TWxlMPDTUGbUvSf4g358NJ8TlfYA7dYpSTNPXMRSLtsz1palmaDBTE/V2xKtTH6p |
| VglRNRUKawKBgCPqBh2TkN9czC2RFkgMb4FcqycN0jEQ0F6TSnVVhtNiAzKmc8s1 |
| POvWJZJDIzjkv/mP+JUeXAdD/bdjNc26EU126rA6KzGgsMPjYv9FymusDPybGGUc |
| Qt5j5RcpNgEkn/5ZPyAlXjCfjz+RxChTfAyGHRmqU9qoLMIFir3pJ7llAoGBAMNH |
| sIxENwlzqyafoUUlEq/pU7kZWuJmrO2FwqRDraYoCiM/NCRhxRQ/ng6NY1gejepw |
| abD2alXiV4alBSxubne6rFmhvA00y2mG40c6Ezmxn2ZpbX3dMQ6bMcPKp7QnXtLc |
| mCSL4FGK02ImUNDsd0RVVFw51DRId4rmsuJYMK9NAoGAKlYdc4784ixTD2ZICIOC |
| ZWPxPAyQUEA7EkuUhAX1bVNG6UJTYA8kmGcUCG4jPTgWzi00IyUUr8jK7efyU/zs |
| qiJuVs1bia+flYIQpysMl1VzZh8gW1nkB4SVPm5l2wBvVJDIr9Mc6rueC/oVNkh2 |
| fLVGuFoTVIu2bF0cWAjNNMg= |
| -----END TESTING KEY-----`)) |
| |
| var test3072Key = parseKey(testingKey(`-----BEGIN TESTING KEY----- |
| MIIG/gIBADANBgkqhkiG9w0BAQEFAASCBugwggbkAgEAAoIBgQDJrvevql7G07LM |
| xQAwAA1Oo8qUAkWfmpgrpxIUZE1QTyMCDaspQJGBBR2+iStrzi2NnWvyBz3jJWFZ |
| LepnsMUFSXj5Ez6bEt2x9YbLAAVGhI6USrGAKqRdJ77+F7yIVCJWcV4vtTyN86IO |
| UaHObwCR8GX7MUwJiRxDUZtYxJcwTMHSs4OWxNnqc+A8yRKn85CsCx0X9I1DULq+ |
| 5BL8gF3MUXvb2zYzIOGI1s3lXOo9tHVcRVB1eV7dZHDyYGxZ4Exj9eKhiOL52hE6 |
| ZPTWCCKbQnyBV3HYe+t8DscOG/IzaAzLrx1s6xnqKEe5lUQ03Ty9QN3tpqqLsC4b |
| CUkdk6Ma43KXGkCmoPaGCkssSc9qOrwHrqoMkOnZDWOJ5mKHhINKWV/U7p54T7tx |
| FWI3PFvvYevoPf7cQdJcChbIBvQ+LEuVZvmljhONUjIGKBaqBz5Sjv7Fd5BNnBGz |
| 8NwH6tYdT9kdTkCZdfrazbuhLxN0mhhXp2sePRV2KZsB7i7cUJMCAwEAAQKCAYAT |
| fqunbxmehhu237tUaHTg1e6WHvVu54kaUxm+ydvlTY5N5ldV801Sl4AtXjdJwjy0 |
| qcj430qpTarawsLxMezhcB2BlKLNEjucC5EeHIrmAEMt7LMP90868prAweJHRTv/ |
| zLvfcwPURClf0Uk0L0Dyr7Y+hnXZ8scTb2x2M06FQdjMY+4Yy+oKgm05mEVgNv1p |
| e+DcjhbSMRf+rVoeeSQCmhprATCnLDWmE1QEqIC7OoR2SPxC1rAHnhatfwo00nwz |
| rciN5YSOqoGa1WMNv6ut0HJWZnu5nR1OuZpaf+zrxlthMxPwhhPq0211J4fZviTO |
| WLnubXD3/G9TN1TszeFuO7Ty8HYYkTJ3RLRrTRrfwhOtOJ4tkuwSJol3QIs1asab |
| wYabuqyTv4+6JeoMBSLnMoA8rXSW9ti4gvJ1h8xMqmMF6e91Z0Fn7fvP5MCn/t8H |
| 8cIPhYLOhdPH5JMqxozb/a1s+JKvRTLnAXxNjlmyXzNvC+3Ixp4q9O8dWJ8Gt+EC |
| gcEA+12m6iMXU3tBw1cYDcs/Jc0hOVgMAMgtnWZ4+p8RSucO/74bq82kdyAOJxao |
| spAcK03NnpRBDcYsSyuQrE6AXQYel1Gj98mMtOirwt2T9vH5fHT6oKsqEu03hYIB |
| 5cggeie4wqKAOb9tVdShJk7YBJUgIXnAcqqmkD4oeUGzUV0QseQtspEHUJSqBQ9n |
| yR4DmyMECgLm47S9LwPMtgRh9ADLBaZeuIRdBEKCDPgNkdya/dLb8u8kE8Ox3T3R |
| +r2hAoHBAM1m1ZNqP9bEa74jZkpMxDN+vUdN7rZcxcpHu1nyii8OzXEopB+jByFA |
| lmMqnKt8z5DRD0dmHXzOggnKJGO2j63/XFaVmsaXcM2B8wlRCqwm4mBE/bYCEKJl |
| xqkDveICzwb1paWSgmFkjc6DN2g1jUd3ptOORuU38onrSphPHFxgyNlNTcOcXvxb |
| GW4R8iPinvpkY3shluWqRQTvai1+gNQlmKMdqXvreUjKqJFCOhoRUVG/MDv8IdP2 |
| tXq43+UZswKBwQDSErOzi74r25/bVAdbR9gvjF7O4OGvKZzNpd1HfvbhxXcIjuXr |
| UEK5+AU777ju+ndATZahiD9R9qP/8pnHFxg6JiocxnMlW8EHVEhv4+SMBjA+Ljlj |
| W4kfJjc3ka5qTjWuQVIs/8fv+yayC7DeJhhsxACFWY5Xhn0LoZcLt7fYMNIKCauT |
| R5d4ZbYt4nEXaMkUt0/h2gkCloNhLmjAWatPU/ZYc3FH/f8K11Z+5jPZCihSJw4A |
| 2pEpH2yffNHnHuECgcEAmxIWEHNYuwYT6brEETgfsFjxAZI+tIMZ+HtrYJ8R4DEm |
| vVXXguMMEPi4ESosmfNiqYyMInVfscgeuNFZ48YCd3Sg++V6so/G5ABFwjTi/9Fj |
| exbbDLxGXrTD5PokMyu3rSNr6bLQqELIJK8/93bmsJwO4Q07TPaOL73p1U90s/GF |
| 8TjBivrVY2RLsKPv0VPYfmWoDV/wkneYH/+4g5xMGt4/fHZ6bEn8iQ4ncXM0dlW4 |
| tSTIf6D80RAjNwG4VzitAoHAA8GLh22w+Cx8RPsj6xdrUiVFE+nNMMgeY8Mdjsrq |
| Fh4jJb+4zwSML9R6iJu/LH5B7Fre2Te8QrYP+k/jIHPYJtGesVt/WlAtpDCNsC3j |
| 8CBzxwL6zkN+46pph35jPKUSaQQ2r8euNMp/sirkYcP8PpbdtifXCjN08QQIKsqj |
| 17IGHe9jZX/EVnSshCkXOBHG31buV10k5GSkeKcoDrkpp25wQ6FjW9L3Q68y6Y8r |
| 8h02sdAMB9Yc2A4EgzOySWoD |
| -----END TESTING KEY-----`)) |
| |
| var test4096Key = parseKey(testingKey(`-----BEGIN TESTING KEY----- |
| MIIJQQIBADANBgkqhkiG9w0BAQEFAASCCSswggknAgEAAoICAQCmH55T2e8fdUaL |
| iWVL2yI7d/wOu/sxI4nVGoiRMiSMlMZlOEZ4oJY6l2y9N/b8ftwoIpjYO8CBk5au |
| x2Odgpuz+FJyHppvKakUIeAn4940zoNkRe/iptybIuH5tCBygjs0y1617TlR/c5+ |
| FF5YRkzsEJrGcLqXzj0hDyrwdplBOv1xz2oHYlvKWWcVMR/qgwoRuj65Ef262t/Q |
| ELH3+fFLzIIstFTk2co2WaALquOsOB6xGOJSAAr8cIAWe+3MqWM8DOcgBuhABA42 |
| 9IhbBBw0uqTXUv/TGi6tcF29H2buSxAx/Wm6h2PstLd6IJAbWHAa6oTz87H0S6XZ |
| v42cYoFhHma1OJw4id1oOZMFDTPDbHxgUnr2puSU+Fpxrj9+FWwViKE4j0YatbG9 |
| cNVpx9xo4NdvOkejWUrqziRorMZTk/zWKz0AkGQzTN3PrX0yy61BoWfznH/NXZ+o |
| j3PqVtkUs6schoIYvrUcdhTCrlLwGSHhU1VKNGAUlLbNrIYTQNgt2gqvjLEsn4/i |
| PgS1IsuDHIc7nGjzvKcuR0UeYCDkmBQqKrdhGbdJ1BRohzLdm+woRpjrqmUCbMa5 |
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| Axreud3rJ0rekUp6rI1joG717Wls |
| -----END 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, |
| }, |
| }, |
| }, |
| }, |
| } |
