// 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
import (
"big";
"crypto/subtle";
"io";
"os";
)
// This file implements encryption and decryption using PKCS#1 v1.5 padding.
// EncryptPKCS1v15 encrypts the given message with RSA and the padding scheme from PKCS#1 v1.5.
// The message must be no longer than the length of the public modulus minus 11 bytes.
// WARNING: use of this function to encrypt plaintexts other than session keys
// is dangerous. Use RSA OAEP in new protocols.
func EncryptPKCS1v15(rand io.Reader, pub *PublicKey, msg []byte) (out []byte, err os.Error) {
k := (pub.N.Len() + 7) / 8;
if len(msg) > k-11 {
err = MessageTooLongError{};
return;
}
// EM = 0x02 || PS || 0x00 || M
em := make([]byte, k-1);
em[0] = 2;
ps, mm := em[1:len(em)-len(msg)-1], em[len(em)-len(msg):];
err = nonZeroRandomBytes(ps, rand);
if err != nil {
return
}
em[len(em)-len(msg)-1] = 0;
copy(mm, msg);
m := new(big.Int).SetBytes(em);
c := encrypt(new(big.Int), pub, m);
out = c.Bytes();
return;
}
// DecryptPKCS1v15 decrypts a plaintext using RSA and the padding scheme from PKCS#1 v1.5.
// If rand != nil, it uses RSA blinding to avoid timing side-channel attacks.
func DecryptPKCS1v15(rand io.Reader, priv *PrivateKey, ciphertext []byte) (out []byte, err os.Error) {
valid, out, err := decryptPKCS1v15(rand, priv, ciphertext);
if err == nil && valid == 0 {
err = DecryptionError{}
}
return;
}
// DecryptPKCS1v15SessionKey decrypts a session key using RSA and the padding scheme from PKCS#1 v1.5.
// If rand != nil, it uses RSA blinding to avoid timing side-channel attacks.
// It returns an error if the ciphertext is the wrong length or if the
// ciphertext is greater than the public modulus. Otherwise, no error is
// returned. If the padding is valid, the resulting plaintext message is copied
// into key. Otherwise, key is unchanged. These alternatives occur in constant
// time. It is intended that the user of this function generate a random
// session key beforehand and continue the protocol with the resulting value.
// This will remove any possibility that an attacker can learn any information
// about the plaintext.
// See ``Chosen Ciphertext Attacks Against Protocols Based on the RSA
// Encryption Standard PKCS #1'', Daniel Bleichenbacher, Advances in Cryptology
// (Crypto '98),
func DecryptPKCS1v15SessionKey(rand io.Reader, priv *PrivateKey, ciphertext []byte, key []byte) (err os.Error) {
k := (priv.N.Len() + 7) / 8;
if k-(len(key)+3+8) < 0 {
err = DecryptionError{};
return;
}
valid, msg, err := decryptPKCS1v15(rand, priv, ciphertext);
if err != nil {
return
}
valid &= subtle.ConstantTimeEq(int32(len(msg)), int32(len(key)));
subtle.ConstantTimeCopy(valid, key, msg);
return;
}
func decryptPKCS1v15(rand io.Reader, priv *PrivateKey, ciphertext []byte) (valid int, msg []byte, err os.Error) {
k := (priv.N.Len() + 7) / 8;
if k < 11 {
err = DecryptionError{};
return;
}
c := new(big.Int).SetBytes(ciphertext);
m, err := decrypt(rand, priv, c);
if err != nil {
return
}
em := leftPad(m.Bytes(), k);
firstByteIsZero := subtle.ConstantTimeByteEq(em[0], 0);
secondByteIsTwo := subtle.ConstantTimeByteEq(em[1], 2);
// The remainder of the plaintext must be a string of non-zero random
// octets, followed by a 0, followed by the message.
// lookingForIndex: 1 iff we are still looking for the zero.
// index: the offset of the first zero byte.
var lookingForIndex, index int;
lookingForIndex = 1;
for i := 2; i < len(em); i++ {
equals0 := subtle.ConstantTimeByteEq(em[i], 0);
index = subtle.ConstantTimeSelect(lookingForIndex&equals0, i, index);
lookingForIndex = subtle.ConstantTimeSelect(equals0, 0, lookingForIndex);
}
valid = firstByteIsZero & secondByteIsTwo & (^lookingForIndex & 1);
msg = em[index+1:];
return;
}
// nonZeroRandomBytes fills the given slice with non-zero random octets.
func nonZeroRandomBytes(s []byte, rand io.Reader) (err os.Error) {
_, err = io.ReadFull(rand, s);
if err != nil {
return
}
for i := 0; i < len(s); i++ {
for s[i] == 0 {
_, err = rand.Read(s[i : i+1]);
if err != nil {
return
}
}
}
return;
}
// Due to the design of PKCS#1 v1.5, we need to know the exact hash function in
// use. A generic hash.Hash will not do.
type PKCS1v15Hash int
const (
HashMD5 PKCS1v15Hash = iota;
HashSHA1;
HashSHA256;
HashSHA384;
HashSHA512;
)
// These are ASN1 DER structures:
// DigestInfo ::= SEQUENCE {
// digestAlgorithm AlgorithmIdentifier,
// digest OCTET STRING
// }
// For performance, we don't use the generic ASN1 encoding. Rather, we
// precompute a prefix of the digest value that makes a valid ASN1 DER string
// with the correct contents.
var hashPrefixes = [][]byte{
// HashMD5
[]byte{0x30, 0x20, 0x30, 0x0c, 0x06, 0x08, 0x2a, 0x86, 0x48, 0x86, 0xf7, 0x0d, 0x02, 0x05, 0x05, 0x00, 0x04, 0x10},
// HashSHA1
[]byte{0x30, 0x21, 0x30, 0x09, 0x06, 0x05, 0x2b, 0x0e, 0x03, 0x02, 0x1a, 0x05, 0x00, 0x04, 0x14},
// HashSHA256
[]byte{0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20},
// HashSHA384
[]byte{0x30, 0x41, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x02, 0x05, 0x00, 0x04, 0x30},
// HashSHA512
[]byte{0x30, 0x51, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x03, 0x05, 0x00, 0x04, 0x40},
}
// SignPKCS1v15 calcuates the signature of hashed using RSASSA-PSS-SIGN from RSA PKCS#1 v1.5.
// Note that hashed must be the result of hashing the input message using the
// given hash function.
func SignPKCS1v15(rand io.Reader, priv *PrivateKey, hash PKCS1v15Hash, hashed []byte) (s []byte, err os.Error) {
hashLen, prefix, err := pkcs1v15HashInfo(hash, len(hashed));
if err != nil {
return
}
tLen := len(prefix) + hashLen;
k := (priv.N.Len() + 7) / 8;
if k < tLen+11 {
return nil, MessageTooLongError{}
}
// EM = 0x00 || 0x01 || PS || 0x00 || T
em := make([]byte, k);
em[1] = 1;
for i := 2; i < k-tLen-1; i++ {
em[i] = 0xff
}
copy(em[k-tLen:k-hashLen], prefix);
copy(em[k-hashLen:k], hashed);
m := new(big.Int).SetBytes(em);
c, err := decrypt(rand, priv, m);
if err == nil {
s = c.Bytes()
}
return;
}
// VerifyPKCS1v15 verifies an RSA PKCS#1 v1.5 signature.
// hashed is the result of hashing the input message using the given hash
// function and sig is the signature. A valid signature is indicated by
// returning a nil error.
func VerifyPKCS1v15(pub *PublicKey, hash PKCS1v15Hash, hashed []byte, sig []byte) (err os.Error) {
hashLen, prefix, err := pkcs1v15HashInfo(hash, len(hashed));
if err != nil {
return
}
tLen := len(prefix) + hashLen;
k := (pub.N.Len() + 7) / 8;
if k < tLen+11 {
err = VerificationError{};
return;
}
c := new(big.Int).SetBytes(sig);
m := encrypt(new(big.Int), pub, c);
em := leftPad(m.Bytes(), k);
// EM = 0x00 || 0x01 || PS || 0x00 || T
ok := subtle.ConstantTimeByteEq(em[0], 0);
ok &= subtle.ConstantTimeByteEq(em[1], 1);
ok &= subtle.ConstantTimeCompare(em[k-hashLen:k], hashed);
ok &= subtle.ConstantTimeCompare(em[k-tLen:k-hashLen], prefix);
ok &= subtle.ConstantTimeByteEq(em[k-tLen-1], 0);
for i := 2; i < k-tLen-1; i++ {
ok &= subtle.ConstantTimeByteEq(em[i], 0xff)
}
if ok != 1 {
return VerificationError{}
}
return nil;
}
func pkcs1v15HashInfo(hash PKCS1v15Hash, inLen int) (hashLen int, prefix []byte, err os.Error) {
switch hash {
case HashMD5:
hashLen = 16
case HashSHA1:
hashLen = 20
case HashSHA256:
hashLen = 32
case HashSHA384:
hashLen = 48
case HashSHA512:
hashLen = 64
default:
return 0, nil, os.ErrorString("unknown hash function")
}
if inLen != hashLen {
return 0, nil, os.ErrorString("input must be hashed message")
}
prefix = hashPrefixes[int(hash)];
return;
}
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