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			224 lines
		
	
	
	
		
			6.5 KiB
		
	
	
	
		
			Go
		
	
	
	
	
	
		
		
			
		
	
	
			224 lines
		
	
	
	
		
			6.5 KiB
		
	
	
	
		
			Go
		
	
	
	
	
	
|  | // 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[:]) | ||
|  | } |