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- // Copyright 2016 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.
- // In Go 1.13, the ed25519 package was promoted to the standard library as
- // crypto/ed25519, and this package became a wrapper for the standard library one.
- //
- //go:build !go1.13
- // +build !go1.13
- // Package ed25519 implements the Ed25519 signature algorithm. See
- // https://ed25519.cr.yp.to/.
- //
- // These functions are also compatible with the “Ed25519” function defined in
- // RFC 8032. However, unlike RFC 8032's formulation, this package's private key
- // representation includes a public key suffix to make multiple signing
- // operations with the same key more efficient. This package refers to the RFC
- // 8032 private key as the “seed”.
- package ed25519
- // This code is a port of the public domain, “ref10” implementation of ed25519
- // from SUPERCOP.
- import (
- "bytes"
- "crypto"
- cryptorand "crypto/rand"
- "crypto/sha512"
- "errors"
- "io"
- "strconv"
- "golang.org/x/crypto/ed25519/internal/edwards25519"
- )
- const (
- // PublicKeySize is the size, in bytes, of public keys as used in this package.
- PublicKeySize = 32
- // PrivateKeySize is the size, in bytes, of private keys as used in this package.
- PrivateKeySize = 64
- // SignatureSize is the size, in bytes, of signatures generated and verified by this package.
- SignatureSize = 64
- // SeedSize is the size, in bytes, of private key seeds. These are the private key representations used by RFC 8032.
- SeedSize = 32
- )
- // PublicKey is the type of Ed25519 public keys.
- type PublicKey []byte
- // PrivateKey is the type of Ed25519 private keys. It implements crypto.Signer.
- type PrivateKey []byte
- // Public returns the PublicKey corresponding to priv.
- func (priv PrivateKey) Public() crypto.PublicKey {
- publicKey := make([]byte, PublicKeySize)
- copy(publicKey, priv[32:])
- return PublicKey(publicKey)
- }
- // Seed returns the private key seed corresponding to priv. It is provided for
- // interoperability with RFC 8032. RFC 8032's private keys correspond to seeds
- // in this package.
- func (priv PrivateKey) Seed() []byte {
- seed := make([]byte, SeedSize)
- copy(seed, priv[:32])
- return seed
- }
- // Sign signs the given message with priv.
- // Ed25519 performs two passes over messages to be signed and therefore cannot
- // handle pre-hashed messages. Thus opts.HashFunc() must return zero to
- // indicate the message hasn't been hashed. This can be achieved by passing
- // crypto.Hash(0) as the value for opts.
- func (priv PrivateKey) Sign(rand io.Reader, message []byte, opts crypto.SignerOpts) (signature []byte, err error) {
- if opts.HashFunc() != crypto.Hash(0) {
- return nil, errors.New("ed25519: cannot sign hashed message")
- }
- return Sign(priv, message), nil
- }
- // GenerateKey generates a public/private key pair using entropy from rand.
- // If rand is nil, crypto/rand.Reader will be used.
- func GenerateKey(rand io.Reader) (PublicKey, PrivateKey, error) {
- if rand == nil {
- rand = cryptorand.Reader
- }
- seed := make([]byte, SeedSize)
- if _, err := io.ReadFull(rand, seed); err != nil {
- return nil, nil, err
- }
- privateKey := NewKeyFromSeed(seed)
- publicKey := make([]byte, PublicKeySize)
- copy(publicKey, privateKey[32:])
- return publicKey, privateKey, nil
- }
- // NewKeyFromSeed calculates a private key from a seed. It will panic if
- // len(seed) is not SeedSize. This function is provided for interoperability
- // with RFC 8032. RFC 8032's private keys correspond to seeds in this
- // package.
- func NewKeyFromSeed(seed []byte) PrivateKey {
- if l := len(seed); l != SeedSize {
- panic("ed25519: bad seed length: " + strconv.Itoa(l))
- }
- digest := sha512.Sum512(seed)
- digest[0] &= 248
- digest[31] &= 127
- digest[31] |= 64
- var A edwards25519.ExtendedGroupElement
- var hBytes [32]byte
- copy(hBytes[:], digest[:])
- edwards25519.GeScalarMultBase(&A, &hBytes)
- var publicKeyBytes [32]byte
- A.ToBytes(&publicKeyBytes)
- privateKey := make([]byte, PrivateKeySize)
- copy(privateKey, seed)
- copy(privateKey[32:], publicKeyBytes[:])
- return privateKey
- }
- // Sign signs the message with privateKey and returns a signature. It will
- // panic if len(privateKey) is not PrivateKeySize.
- func Sign(privateKey PrivateKey, message []byte) []byte {
- if l := len(privateKey); l != PrivateKeySize {
- panic("ed25519: bad private key length: " + strconv.Itoa(l))
- }
- h := sha512.New()
- h.Write(privateKey[:32])
- var digest1, messageDigest, hramDigest [64]byte
- var expandedSecretKey [32]byte
- h.Sum(digest1[:0])
- copy(expandedSecretKey[:], digest1[:])
- expandedSecretKey[0] &= 248
- expandedSecretKey[31] &= 63
- expandedSecretKey[31] |= 64
- h.Reset()
- h.Write(digest1[32:])
- h.Write(message)
- h.Sum(messageDigest[:0])
- var messageDigestReduced [32]byte
- edwards25519.ScReduce(&messageDigestReduced, &messageDigest)
- var R edwards25519.ExtendedGroupElement
- edwards25519.GeScalarMultBase(&R, &messageDigestReduced)
- var encodedR [32]byte
- R.ToBytes(&encodedR)
- h.Reset()
- h.Write(encodedR[:])
- h.Write(privateKey[32:])
- h.Write(message)
- h.Sum(hramDigest[:0])
- var hramDigestReduced [32]byte
- edwards25519.ScReduce(&hramDigestReduced, &hramDigest)
- var s [32]byte
- edwards25519.ScMulAdd(&s, &hramDigestReduced, &expandedSecretKey, &messageDigestReduced)
- signature := make([]byte, SignatureSize)
- copy(signature[:], encodedR[:])
- copy(signature[32:], s[:])
- return signature
- }
- // Verify reports whether sig is a valid signature of message by publicKey. It
- // will panic if len(publicKey) is not PublicKeySize.
- func Verify(publicKey PublicKey, message, sig []byte) bool {
- if l := len(publicKey); l != PublicKeySize {
- panic("ed25519: bad public key length: " + strconv.Itoa(l))
- }
- if len(sig) != SignatureSize || sig[63]&224 != 0 {
- return false
- }
- var A edwards25519.ExtendedGroupElement
- var publicKeyBytes [32]byte
- copy(publicKeyBytes[:], publicKey)
- if !A.FromBytes(&publicKeyBytes) {
- return false
- }
- edwards25519.FeNeg(&A.X, &A.X)
- edwards25519.FeNeg(&A.T, &A.T)
- h := sha512.New()
- h.Write(sig[:32])
- h.Write(publicKey[:])
- h.Write(message)
- var digest [64]byte
- h.Sum(digest[:0])
- var hReduced [32]byte
- edwards25519.ScReduce(&hReduced, &digest)
- var R edwards25519.ProjectiveGroupElement
- var s [32]byte
- copy(s[:], sig[32:])
- // https://tools.ietf.org/html/rfc8032#section-5.1.7 requires that s be in
- // the range [0, order) in order to prevent signature malleability.
- if !edwards25519.ScMinimal(&s) {
- return false
- }
- edwards25519.GeDoubleScalarMultVartime(&R, &hReduced, &A, &s)
- var checkR [32]byte
- R.ToBytes(&checkR)
- return bytes.Equal(sig[:32], checkR[:])
- }
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