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325 lines
11 KiB
325 lines
11 KiB
// Copyright 2009 The Go Authors. All rights reserved. |
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// Use of this source code is governed by a BSD-style |
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// license that can be found in the LICENSE file. |
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package rsa |
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import ( |
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"crypto" |
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"crypto/subtle" |
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"errors" |
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"io" |
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"math/big" |
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) |
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// This file implements encryption and decryption using PKCS#1 v1.5 padding. |
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// PKCS1v15DecrypterOpts is for passing options to PKCS#1 v1.5 decryption using |
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// the crypto.Decrypter interface. |
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type PKCS1v15DecryptOptions struct { |
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// SessionKeyLen is the length of the session key that is being |
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// decrypted. If not zero, then a padding error during decryption will |
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// cause a random plaintext of this length to be returned rather than |
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// an error. These alternatives happen in constant time. |
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SessionKeyLen int |
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} |
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// EncryptPKCS1v15 encrypts the given message with RSA and the padding scheme from PKCS#1 v1.5. |
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// The message must be no longer than the length of the public modulus minus 11 bytes. |
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// |
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// The rand parameter is used as a source of entropy to ensure that encrypting |
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// the same message twice doesn't result in the same ciphertext. |
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// |
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// WARNING: use of this function to encrypt plaintexts other than session keys |
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// is dangerous. Use RSA OAEP in new protocols. |
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func EncryptPKCS1v15(rand io.Reader, pub *PublicKey, msg []byte) (out []byte, err error) { |
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if err := checkPub(pub); err != nil { |
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return nil, err |
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} |
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k := (pub.N.BitLen() + 7) / 8 |
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if len(msg) > k-11 { |
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err = ErrMessageTooLong |
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return |
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} |
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// EM = 0x00 || 0x02 || PS || 0x00 || M |
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em := make([]byte, k) |
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em[1] = 2 |
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ps, mm := em[2:len(em)-len(msg)-1], em[len(em)-len(msg):] |
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err = nonZeroRandomBytes(ps, rand) |
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if err != nil { |
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return |
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} |
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em[len(em)-len(msg)-1] = 0 |
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copy(mm, msg) |
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m := new(big.Int).SetBytes(em) |
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c := encrypt(new(big.Int), pub, m) |
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copyWithLeftPad(em, c.Bytes()) |
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out = em |
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return |
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} |
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// DecryptPKCS1v15 decrypts a plaintext using RSA and the padding scheme from PKCS#1 v1.5. |
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// If rand != nil, it uses RSA blinding to avoid timing side-channel attacks. |
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// |
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// Note that whether this function returns an error or not discloses secret |
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// information. If an attacker can cause this function to run repeatedly and |
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// learn whether each instance returned an error then they can decrypt and |
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// forge signatures as if they had the private key. See |
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// DecryptPKCS1v15SessionKey for a way of solving this problem. |
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func DecryptPKCS1v15(rand io.Reader, priv *PrivateKey, ciphertext []byte) (out []byte, err error) { |
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if err := checkPub(&priv.PublicKey); err != nil { |
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return nil, err |
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} |
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valid, out, index, err := decryptPKCS1v15(rand, priv, ciphertext) |
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if err != nil { |
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return |
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} |
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if valid == 0 { |
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return nil, ErrDecryption |
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} |
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out = out[index:] |
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return |
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} |
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// DecryptPKCS1v15SessionKey decrypts a session key using RSA and the padding scheme from PKCS#1 v1.5. |
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// If rand != nil, it uses RSA blinding to avoid timing side-channel attacks. |
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// It returns an error if the ciphertext is the wrong length or if the |
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// ciphertext is greater than the public modulus. Otherwise, no error is |
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// returned. If the padding is valid, the resulting plaintext message is copied |
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// into key. Otherwise, key is unchanged. These alternatives occur in constant |
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// time. It is intended that the user of this function generate a random |
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// session key beforehand and continue the protocol with the resulting value. |
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// This will remove any possibility that an attacker can learn any information |
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// about the plaintext. |
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// See ``Chosen Ciphertext Attacks Against Protocols Based on the RSA |
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// Encryption Standard PKCS #1'', Daniel Bleichenbacher, Advances in Cryptology |
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// (Crypto '98). |
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// |
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// Note that if the session key is too small then it may be possible for an |
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// attacker to brute-force it. If they can do that then they can learn whether |
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// a random value was used (because it'll be different for the same ciphertext) |
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// and thus whether the padding was correct. This defeats the point of this |
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// function. Using at least a 16-byte key will protect against this attack. |
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func DecryptPKCS1v15SessionKey(rand io.Reader, priv *PrivateKey, ciphertext []byte, key []byte) (err error) { |
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if err := checkPub(&priv.PublicKey); err != nil { |
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return err |
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} |
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k := (priv.N.BitLen() + 7) / 8 |
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if k-(len(key)+3+8) < 0 { |
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return ErrDecryption |
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} |
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valid, em, index, err := decryptPKCS1v15(rand, priv, ciphertext) |
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if err != nil { |
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return |
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} |
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if len(em) != k { |
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// This should be impossible because decryptPKCS1v15 always |
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// returns the full slice. |
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return ErrDecryption |
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} |
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valid &= subtle.ConstantTimeEq(int32(len(em)-index), int32(len(key))) |
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subtle.ConstantTimeCopy(valid, key, em[len(em)-len(key):]) |
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return |
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} |
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// decryptPKCS1v15 decrypts ciphertext using priv and blinds the operation if |
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// rand is not nil. It returns one or zero in valid that indicates whether the |
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// plaintext was correctly structured. In either case, the plaintext is |
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// returned in em so that it may be read independently of whether it was valid |
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// in order to maintain constant memory access patterns. If the plaintext was |
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// valid then index contains the index of the original message in em. |
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func decryptPKCS1v15(rand io.Reader, priv *PrivateKey, ciphertext []byte) (valid int, em []byte, index int, err error) { |
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k := (priv.N.BitLen() + 7) / 8 |
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if k < 11 { |
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err = ErrDecryption |
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return |
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} |
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c := new(big.Int).SetBytes(ciphertext) |
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m, err := decrypt(rand, priv, c) |
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if err != nil { |
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return |
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} |
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em = leftPad(m.Bytes(), k) |
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firstByteIsZero := subtle.ConstantTimeByteEq(em[0], 0) |
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secondByteIsTwo := subtle.ConstantTimeByteEq(em[1], 2) |
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// The remainder of the plaintext must be a string of non-zero random |
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// octets, followed by a 0, followed by the message. |
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// lookingForIndex: 1 iff we are still looking for the zero. |
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// index: the offset of the first zero byte. |
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lookingForIndex := 1 |
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for i := 2; i < len(em); i++ { |
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equals0 := subtle.ConstantTimeByteEq(em[i], 0) |
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index = subtle.ConstantTimeSelect(lookingForIndex&equals0, i, index) |
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lookingForIndex = subtle.ConstantTimeSelect(equals0, 0, lookingForIndex) |
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} |
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// The PS padding must be at least 8 bytes long, and it starts two |
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// bytes into em. |
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validPS := subtle.ConstantTimeLessOrEq(2+8, index) |
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valid = firstByteIsZero & secondByteIsTwo & (^lookingForIndex & 1) & validPS |
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index = subtle.ConstantTimeSelect(valid, index+1, 0) |
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return valid, em, index, nil |
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} |
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// nonZeroRandomBytes fills the given slice with non-zero random octets. |
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func nonZeroRandomBytes(s []byte, rand io.Reader) (err error) { |
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_, err = io.ReadFull(rand, s) |
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if err != nil { |
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return |
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} |
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for i := 0; i < len(s); i++ { |
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for s[i] == 0 { |
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_, err = io.ReadFull(rand, s[i:i+1]) |
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if err != nil { |
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return |
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} |
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// In tests, the PRNG may return all zeros so we do |
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// this to break the loop. |
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s[i] ^= 0x42 |
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} |
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} |
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return |
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} |
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// These are ASN1 DER structures: |
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// DigestInfo ::= SEQUENCE { |
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// digestAlgorithm AlgorithmIdentifier, |
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// digest OCTET STRING |
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// } |
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// For performance, we don't use the generic ASN1 encoder. Rather, we |
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// precompute a prefix of the digest value that makes a valid ASN1 DER string |
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// with the correct contents. |
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var hashPrefixes = map[crypto.Hash][]byte{ |
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crypto.MD5: {0x30, 0x20, 0x30, 0x0c, 0x06, 0x08, 0x2a, 0x86, 0x48, 0x86, 0xf7, 0x0d, 0x02, 0x05, 0x05, 0x00, 0x04, 0x10}, |
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crypto.SHA1: {0x30, 0x21, 0x30, 0x09, 0x06, 0x05, 0x2b, 0x0e, 0x03, 0x02, 0x1a, 0x05, 0x00, 0x04, 0x14}, |
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crypto.SHA224: {0x30, 0x2d, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x04, 0x05, 0x00, 0x04, 0x1c}, |
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crypto.SHA256: {0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20}, |
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crypto.SHA384: {0x30, 0x41, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x02, 0x05, 0x00, 0x04, 0x30}, |
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crypto.SHA512: {0x30, 0x51, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x03, 0x05, 0x00, 0x04, 0x40}, |
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crypto.MD5SHA1: {}, // A special TLS case which doesn't use an ASN1 prefix. |
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crypto.RIPEMD160: {0x30, 0x20, 0x30, 0x08, 0x06, 0x06, 0x28, 0xcf, 0x06, 0x03, 0x00, 0x31, 0x04, 0x14}, |
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} |
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// SignPKCS1v15 calculates the signature of hashed using RSASSA-PKCS1-V1_5-SIGN from RSA PKCS#1 v1.5. |
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// Note that hashed must be the result of hashing the input message using the |
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// given hash function. If hash is zero, hashed is signed directly. This isn't |
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// advisable except for interoperability. |
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// |
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// If rand is not nil then RSA blinding will be used to avoid timing side-channel attacks. |
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// |
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// This function is deterministic. Thus, if the set of possible messages is |
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// small, an attacker may be able to build a map from messages to signatures |
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// and identify the signed messages. As ever, signatures provide authenticity, |
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// not confidentiality. |
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func SignPKCS1v15(rand io.Reader, priv *PrivateKey, hash crypto.Hash, hashed []byte) (s []byte, err error) { |
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hashLen, prefix, err := pkcs1v15HashInfo(hash, len(hashed)) |
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if err != nil { |
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return |
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} |
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tLen := len(prefix) + hashLen |
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k := (priv.N.BitLen() + 7) / 8 |
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if k < tLen+11 { |
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return nil, ErrMessageTooLong |
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} |
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// EM = 0x00 || 0x01 || PS || 0x00 || T |
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em := make([]byte, k) |
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em[1] = 1 |
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for i := 2; i < k-tLen-1; i++ { |
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em[i] = 0xff |
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} |
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copy(em[k-tLen:k-hashLen], prefix) |
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copy(em[k-hashLen:k], hashed) |
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m := new(big.Int).SetBytes(em) |
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c, err := decryptAndCheck(rand, priv, m) |
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if err != nil { |
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return |
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} |
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copyWithLeftPad(em, c.Bytes()) |
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s = em |
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return |
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} |
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// VerifyPKCS1v15 verifies an RSA PKCS#1 v1.5 signature. |
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// hashed is the result of hashing the input message using the given hash |
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// function and sig is the signature. A valid signature is indicated by |
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// returning a nil error. If hash is zero then hashed is used directly. This |
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// isn't advisable except for interoperability. |
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func VerifyPKCS1v15(pub *PublicKey, hash crypto.Hash, hashed []byte, sig []byte) (err error) { |
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hashLen, prefix, err := pkcs1v15HashInfo(hash, len(hashed)) |
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if err != nil { |
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return |
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} |
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tLen := len(prefix) + hashLen |
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k := (pub.N.BitLen() + 7) / 8 |
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if k < tLen+11 { |
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err = ErrVerification |
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return |
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} |
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c := new(big.Int).SetBytes(sig) |
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m := encrypt(new(big.Int), pub, c) |
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em := leftPad(m.Bytes(), k) |
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// EM = 0x00 || 0x01 || PS || 0x00 || T |
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ok := subtle.ConstantTimeByteEq(em[0], 0) |
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ok &= subtle.ConstantTimeByteEq(em[1], 1) |
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ok &= subtle.ConstantTimeCompare(em[k-hashLen:k], hashed) |
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ok &= subtle.ConstantTimeCompare(em[k-tLen:k-hashLen], prefix) |
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ok &= subtle.ConstantTimeByteEq(em[k-tLen-1], 0) |
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for i := 2; i < k-tLen-1; i++ { |
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ok &= subtle.ConstantTimeByteEq(em[i], 0xff) |
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} |
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if ok != 1 { |
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return ErrVerification |
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} |
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return nil |
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} |
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func pkcs1v15HashInfo(hash crypto.Hash, inLen int) (hashLen int, prefix []byte, err error) { |
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// Special case: crypto.Hash(0) is used to indicate that the data is |
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// signed directly. |
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if hash == 0 { |
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return inLen, nil, nil |
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} |
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hashLen = hash.Size() |
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if inLen != hashLen { |
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return 0, nil, errors.New("crypto/rsa: input must be hashed message") |
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} |
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prefix, ok := hashPrefixes[hash] |
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if !ok { |
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return 0, nil, errors.New("crypto/rsa: unsupported hash function") |
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} |
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return |
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} |
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// copyWithLeftPad copies src to the end of dest, padding with zero bytes as |
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// needed. |
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func copyWithLeftPad(dest, src []byte) { |
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numPaddingBytes := len(dest) - len(src) |
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for i := 0; i < numPaddingBytes; i++ { |
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dest[i] = 0 |
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} |
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copy(dest[numPaddingBytes:], src) |
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}
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