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Added signature/verification for pub/priv
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rrrokhtar committed Apr 1, 2022
1 parent 504d2f5 commit 3d8d953
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Showing 4 changed files with 387 additions and 15 deletions.
143 changes: 139 additions & 4 deletions cry/crypto.go
Original file line number Diff line number Diff line change
Expand Up @@ -88,6 +88,141 @@ func SignByPublic(rand io.Reader, pub *rsa.PublicKey, hash crypto.Hash, hashed [
return c.FillBytes(em), nil
}

func SignPSSByPublic(rand io.Reader, pub *rsa.PublicKey, hash crypto.Hash, digest []byte, opts *PSSOptions) ([]byte, error) {
if opts != nil && opts.Hash != 0 {
hash = opts.Hash
}

saltLength := opts.saltLength()
switch saltLength {
case PSSSaltLengthAuto:
saltLength = pub.Size() - 2 - hash.Size()
case PSSSaltLengthEqualsHash:
saltLength = hash.Size()
}

salt := make([]byte, saltLength)
if rand != nil {
if _, err := io.ReadFull(rand, salt); err != nil {
return nil, err
}
}
return signPSSWithSaltByPublic(rand, pub, hash, digest, salt)
}

// signPSSWithSaltByPublic calculates the signature of hashed using PSS with specified salt.
// Note that hashed must be the result of hashing the input message using the
// given hash function. salt is a random sequence of bytes whose length will be
// later used to verify the signature.
func signPSSWithSaltByPublic(rand io.Reader, pub *rsa.PublicKey, hash crypto.Hash, hashed, salt []byte) ([]byte, error) {
emBits := pub.N.BitLen() - 1
em, err := emsaPSSEncode(hashed, emBits, salt, hash.New())
if err != nil {
return nil, err
}
m := new(big.Int).SetBytes(em)
c, err := decryptAndCheckByPublic(rand, pub, m)
if err != nil {
return nil, err
}
s := make([]byte, pub.Size())
return c.FillBytes(s), nil
}

// signPSSWithSaltByPublic calculates the signature of hashed using PSS with specified salt.
// Note that hashed must be the result of hashing the input message using the
// given hash function. salt is a random sequence of bytes whose length will be
// later used to verify the signature.
func signPSSWithSalt(rand io.Reader, priv *rsa.PrivateKey, hash crypto.Hash, hashed, salt []byte) ([]byte, error) {
emBits := priv.N.BitLen() - 1
em, err := emsaPSSEncode(hashed, emBits, salt, hash.New())
if err != nil {
return nil, err
}
m := new(big.Int).SetBytes(em)
c, err := decryptAndCheck(rand, priv, m)
if err != nil {
return nil, err
}
s := make([]byte, priv.Size())
return c.FillBytes(s), nil
}

func emsaPSSEncode(mHash []byte, emBits int, salt []byte, hash hash.Hash) ([]byte, error) {
// See RFC 8017, Section 9.1.1.

hLen := hash.Size()
sLen := len(salt)
emLen := (emBits + 7) / 8

// 1. If the length of M is greater than the input limitation for the
// hash function (2^61 - 1 octets for SHA-1), output "message too
// long" and stop.
//
// 2. Let mHash = Hash(M), an octet string of length hLen.

if len(mHash) != hLen {
return nil, errors.New("crypto/rsa: input must be hashed with given hash")
}

// 3. If emLen < hLen + sLen + 2, output "encoding error" and stop.

if emLen < hLen+sLen+2 {
return nil, errors.New("crypto/rsa: key size too small for PSS signature")
}

em := make([]byte, emLen)
psLen := emLen - sLen - hLen - 2
db := em[:psLen+1+sLen]
h := em[psLen+1+sLen : emLen-1]

// 4. Generate a random octet string salt of length sLen; if sLen = 0,
// then salt is the empty string.
//
// 5. Let
// M' = (0x)00 00 00 00 00 00 00 00 || mHash || salt;
//
// M' is an octet string of length 8 + hLen + sLen with eight
// initial zero octets.
//
// 6. Let H = Hash(M'), an octet string of length hLen.

var prefix [8]byte

hash.Write(prefix[:])
hash.Write(mHash)
hash.Write(salt)

h = hash.Sum(h[:0])
hash.Reset()

// 7. Generate an octet string PS consisting of emLen - sLen - hLen - 2
// zero octets. The length of PS may be 0.
//
// 8. Let DB = PS || 0x01 || salt; DB is an octet string of length
// emLen - hLen - 1.

db[psLen] = 0x01
copy(db[psLen+1:], salt)

// 9. Let dbMask = MGF(H, emLen - hLen - 1).
//
// 10. Let maskedDB = DB \xor dbMask.

mgf1XOR(db, hash, h)

// 11. Set the leftmost 8 * emLen - emBits bits of the leftmost octet in
// maskedDB to zero.

db[0] &= 0xff >> (8*emLen - emBits)

// 12. Let EM = maskedDB || H || 0xbc.
em[emLen-1] = 0xbc

// 13. Output EM.
return em, nil
}

func pkcs1v15HashInfo(hash crypto.Hash, inLen int) (hashLen int, prefix []byte, err error) {
// Special case: crypto.Hash(0) is used to indicate that the data is
// signed directly.
Expand Down Expand Up @@ -160,10 +295,10 @@ func EncryptOAEPM(hash hash.Hash, random io.Reader, priv *rsa.PrivateKey, msg []
db[len(db)-len(msg)-1] = 1
copy(db[len(db)-len(msg):], msg)
if random != nil {
_, err := io.ReadFull(random, seed)
if err != nil {
return nil, err
}
_, err := io.ReadFull(random, seed)
if err != nil {
return nil, err
}
}

mgf1XOR(db, hash, seed)
Expand Down
231 changes: 231 additions & 0 deletions cry/pss.go
Original file line number Diff line number Diff line change
@@ -0,0 +1,231 @@
// Copyright 2013 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 cry

// This file implements the RSASSA-PSS signature scheme according to RFC 8017.

import (
"bytes"
"crypto"
"crypto/rsa"
"errors"
"hash"
"io"
"math/big"
)

// Per RFC 8017, Section 9.1
//
// EM = MGF1 xor DB || H( 8*0x00 || mHash || salt ) || 0xbc
//
// where
//
// DB = PS || 0x01 || salt
//
// and PS can be empty so
//
// emLen = dbLen + hLen + 1 = psLen + sLen + hLen + 2
//

func emsaPSSVerify(mHash, em []byte, emBits, sLen int, hash hash.Hash) error {
// See RFC 8017, Section 9.1.2.

hLen := hash.Size()
if sLen == PSSSaltLengthEqualsHash {
sLen = hLen
}
emLen := (emBits + 7) / 8
if emLen != len(em) {
return errors.New("rsa: internal error: inconsistent length")
}

// 1. If the length of M is greater than the input limitation for the
// hash function (2^61 - 1 octets for SHA-1), output "inconsistent"
// and stop.
//
// 2. Let mHash = Hash(M), an octet string of length hLen.
if hLen != len(mHash) {
return rsa.ErrVerification
}

// 3. If emLen < hLen + sLen + 2, output "inconsistent" and stop.
if emLen < hLen+sLen+2 {
return rsa.ErrVerification
}

// 4. If the rightmost octet of EM does not have hexadecimal value
// 0xbc, output "inconsistent" and stop.
if em[emLen-1] != 0xbc {
return rsa.ErrVerification
}

// 5. Let maskedDB be the leftmost emLen - hLen - 1 octets of EM, and
// let H be the next hLen octets.
db := em[:emLen-hLen-1]
h := em[emLen-hLen-1 : emLen-1]

// 6. If the leftmost 8 * emLen - emBits bits of the leftmost octet in
// maskedDB are not all equal to zero, output "inconsistent" and
// stop.
var bitMask byte = 0xff >> (8*emLen - emBits)
if em[0] & ^bitMask != 0 {
return rsa.ErrVerification
}

// 7. Let dbMask = MGF(H, emLen - hLen - 1).
//
// 8. Let DB = maskedDB \xor dbMask.
mgf1XOR(db, hash, h)

// 9. Set the leftmost 8 * emLen - emBits bits of the leftmost octet in DB
// to zero.
db[0] &= bitMask

// If we don't know the salt length, look for the 0x01 delimiter.
if sLen == PSSSaltLengthAuto {
psLen := bytes.IndexByte(db, 0x01)
if psLen < 0 {
return rsa.ErrVerification
}
sLen = len(db) - psLen - 1
}

// 10. If the emLen - hLen - sLen - 2 leftmost octets of DB are not zero
// or if the octet at position emLen - hLen - sLen - 1 (the leftmost
// position is "position 1") does not have hexadecimal value 0x01,
// output "inconsistent" and stop.
psLen := emLen - hLen - sLen - 2
for _, e := range db[:psLen] {
if e != 0x00 {
return rsa.ErrVerification
}
}
if db[psLen] != 0x01 {
return rsa.ErrVerification
}

// 11. Let salt be the last sLen octets of DB.
salt := db[len(db)-sLen:]

// 12. Let
// M' = (0x)00 00 00 00 00 00 00 00 || mHash || salt ;
// M' is an octet string of length 8 + hLen + sLen with eight
// initial zero octets.
//
// 13. Let H' = Hash(M'), an octet string of length hLen.
var prefix [8]byte
hash.Write(prefix[:])
hash.Write(mHash)
hash.Write(salt)

h0 := hash.Sum(nil)

// 14. If H = H', output "consistent." Otherwise, output "inconsistent."
if !bytes.Equal(h0, h) { // TODO: constant time?
return rsa.ErrVerification
}
return nil
}

const (
// PSSSaltLengthAuto causes the salt in a PSS signature to be as large
// as possible when signing, and to be auto-detected when verifying.
PSSSaltLengthAuto = 0
// PSSSaltLengthEqualsHash causes the salt length to equal the length
// of the hash used in the signature.
PSSSaltLengthEqualsHash = -1
)

// PSSOptions contains options for creating and verifying PSS signatures.
type PSSOptions struct {
// SaltLength controls the length of the salt used in the PSS
// signature. It can either be a number of bytes, or one of the special
// PSSSaltLength constants.
SaltLength int

// Hash is the hash function used to generate the message digest. If not
// zero, it overrides the hash function passed to SignPSS. It's required
// when using PrivateKey.Sign.
Hash crypto.Hash
}

// HashFunc returns opts.Hash so that PSSOptions implements crypto.SignerOpts.
func (opts *PSSOptions) HashFunc() crypto.Hash {
return opts.Hash
}

func (opts *PSSOptions) saltLength() int {
if opts == nil {
return PSSSaltLengthAuto
}
return opts.SaltLength
}

// SignPSS calculates the signature of digest using PSS.
//
// digest must be the result of hashing the input message using the given hash
// function. The opts argument may be nil, in which case sensible defaults are
// used. If opts.Hash is set, it overrides hash.
func SignPSS(rand io.Reader, priv *rsa.PrivateKey, hash crypto.Hash, digest []byte, opts *PSSOptions) ([]byte, error) {
if opts != nil && opts.Hash != 0 {
hash = opts.Hash
}

saltLength := opts.saltLength()
switch saltLength {
case PSSSaltLengthAuto:
saltLength = priv.Size() - 2 - hash.Size()
case PSSSaltLengthEqualsHash:
saltLength = hash.Size()
}

salt := make([]byte, saltLength)
if _, err := io.ReadFull(rand, salt); err != nil {
return nil, err
}
return signPSSWithSalt(rand, priv, hash, digest, salt)
}

// VerifyPSS verifies a PSS signature.
//
// A valid signature is indicated by returning a nil error. digest must be the
// result of hashing the input message using the given hash function. The opts
// argument may be nil, in which case sensible defaults are used. opts.Hash is
// ignored.
func VerifyPSS(pub *rsa.PublicKey, hash crypto.Hash, digest []byte, sig []byte, opts *PSSOptions) error {
if len(sig) != pub.Size() {
return rsa.ErrVerification
}
s := new(big.Int).SetBytes(sig)
m := encrypt(new(big.Int), pub, s)
emBits := pub.N.BitLen() - 1
emLen := (emBits + 7) / 8
if m.BitLen() > emLen*8 {
return rsa.ErrVerification
}
em := m.FillBytes(make([]byte, emLen))
return emsaPSSVerify(digest, em, emBits, opts.saltLength(), hash.New())
}

// VerifyPSS verifies a PSS signature.
//
// A valid signature is indicated by returning a nil error. digest must be the
// result of hashing the input message using the given hash function. The opts
// argument may be nil, in which case sensible defaults are used. opts.Hash is
// ignored.
func VerifyPSSByPrivate(priv *rsa.PrivateKey, hash crypto.Hash, digest []byte, sig []byte, opts *PSSOptions) error {
if len(sig) != priv.Size() {
return rsa.ErrVerification
}
s := new(big.Int).SetBytes(sig)
m := encryptByPrivateKey(new(big.Int), priv, s)
emBits := priv.N.BitLen() - 1
emLen := (emBits + 7) / 8
if m.BitLen() > emLen*8 {
return rsa.ErrVerification
}
em := m.FillBytes(make([]byte, emLen))
return emsaPSSVerify(digest, em, emBits, opts.saltLength(), hash.New())
}
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