File: //opt/golang/1.22.0/src/crypto/rsa/rsa_test.go
// 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-----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-----END TESTING KEY-----`))
var test3072Key = parseKey(testingKey(`-----BEGIN TESTING KEY-----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-----END TESTING KEY-----`))
var test4096Key = parseKey(testingKey(`-----BEGIN TESTING KEY-----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-----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,
},
},
},
},
}