// Copyright 2024 Sumner Evans. // // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. // Package ed25519 implements the Ed25519 signature algorithm. See // https://ed25519.cr.yp.to/. // // This package stores the private key in the NaCl format, which is a different // format than that used by the [crypto/ed25519] package in the standard // library. // // This picture will help with the rest of the explanation: // https://blog.mozilla.org/warner/files/2011/11/key-formats.png // // The private key in the [crypto/ed25519] package is a 64-byte value where the // first 32-bytes are the seed and the last 32-bytes are the public key. // // The private key in this package is stored in the NaCl format. That is, the // left 32-bytes are the private scalar A and the right 32-bytes are the right // half of the SHA512 result. // // The contents of this package are mostly copied from the standard library, // and as such the source code is licensed under the BSD license of the // standard library implementation. // // Other notable changes from the standard library include: // // - The Seed function of the standard library is not implemented in this // package because there is no way to recover the seed after hashing it. package ed25519 import ( "crypto" "crypto/ed25519" cryptorand "crypto/rand" "crypto/sha512" "crypto/subtle" "errors" "io" "strconv" "filippo.io/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 // Any methods implemented on PublicKey might need to also be implemented on // PrivateKey, as the latter embeds the former and will expose its methods. // Equal reports whether pub and x have the same value. func (pub PublicKey) Equal(x crypto.PublicKey) bool { switch x := x.(type) { case PublicKey: return subtle.ConstantTimeCompare(pub, x) == 1 case ed25519.PublicKey: return subtle.ConstantTimeCompare(pub, x) == 1 default: return false } } // PrivateKey is the type of Ed25519 private keys. It implements [crypto.Signer]. type PrivateKey []byte // Public returns the [PublicKey] corresponding to priv. // // This method differs from the standard library because it calculates the // public key instead of returning the right half of the private key (which // contains the public key in the standard library). func (priv PrivateKey) Public() crypto.PublicKey { s, err := edwards25519.NewScalar().SetBytesWithClamping(priv[:32]) if err != nil { panic("ed25519: internal error: setting scalar failed") } return (&edwards25519.Point{}).ScalarBaseMult(s).Bytes() } // Equal reports whether priv and x have the same value. func (priv PrivateKey) Equal(x crypto.PrivateKey) bool { // TODO do we have any need to check equality with standard library ed25519 // private keys? xx, ok := x.(PrivateKey) if !ok { return false } return subtle.ConstantTimeCompare(priv, xx) == 1 } // Sign signs the given message with priv. rand is ignored and can be nil. // // If opts.HashFunc() is [crypto.SHA512], the pre-hashed variant Ed25519ph is used // and message is expected to be a SHA-512 hash, otherwise opts.HashFunc() must // be [crypto.Hash](0) and the message must not be hashed, as Ed25519 performs two // passes over messages to be signed. // // A value of type [Options] can be used as opts, or crypto.Hash(0) or // crypto.SHA512 directly to select plain Ed25519 or Ed25519ph, respectively. func (priv PrivateKey) Sign(rand io.Reader, message []byte, opts crypto.SignerOpts) (signature []byte, err error) { hash := opts.HashFunc() context := "" if opts, ok := opts.(*Options); ok { context = opts.Context } switch { case hash == crypto.SHA512: // Ed25519ph if l := len(message); l != sha512.Size { return nil, errors.New("ed25519: bad Ed25519ph message hash length: " + strconv.Itoa(l)) } if l := len(context); l > 255 { return nil, errors.New("ed25519: bad Ed25519ph context length: " + strconv.Itoa(l)) } signature := make([]byte, SignatureSize) sign(signature, priv, message, domPrefixPh, context) return signature, nil case hash == crypto.Hash(0) && context != "": // Ed25519ctx if l := len(context); l > 255 { return nil, errors.New("ed25519: bad Ed25519ctx context length: " + strconv.Itoa(l)) } signature := make([]byte, SignatureSize) sign(signature, priv, message, domPrefixCtx, context) return signature, nil case hash == crypto.Hash(0): // Ed25519 return Sign(priv, message), nil default: return nil, errors.New("ed25519: expected opts.HashFunc() zero (unhashed message, for standard Ed25519) or SHA-512 (for Ed25519ph)") } } // Options can be used with [PrivateKey.Sign] or [VerifyWithOptions] // to select Ed25519 variants. type Options struct { // Hash can be zero for regular Ed25519, or crypto.SHA512 for Ed25519ph. Hash crypto.Hash // Context, if not empty, selects Ed25519ctx or provides the context string // for Ed25519ph. It can be at most 255 bytes in length. Context string } // HashFunc returns o.Hash. func (o *Options) HashFunc() crypto.Hash { return o.Hash } // GenerateKey generates a public/private key pair using entropy from rand. // If rand is nil, [crypto/rand.Reader] will be used. // // The output of this function is deterministic, and equivalent to reading // [SeedSize] bytes from rand, and passing them to [NewKeyFromSeed]. 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) return PublicKey(privateKey.Public().([]byte)), 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 { // Outline the function body so that the returned key can be stack-allocated. privateKey := make([]byte, PrivateKeySize) newKeyFromSeed(privateKey, seed) return privateKey } func newKeyFromSeed(privateKey, seed []byte) { if l := len(seed); l != SeedSize { panic("ed25519: bad seed length: " + strconv.Itoa(l)) } h := sha512.Sum512(seed) // Apply clamping to get A in the left half, and leave the right half // as-is. This gets the private key into the NaCl format. h[0] &= 248 h[31] &= 63 h[31] |= 64 copy(privateKey, h[:]) } // 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 { // Outline the function body so that the returned signature can be // stack-allocated. signature := make([]byte, SignatureSize) sign(signature, privateKey, message, domPrefixPure, "") return signature } // Domain separation prefixes used to disambiguate Ed25519/Ed25519ph/Ed25519ctx. // See RFC 8032, Section 2 and Section 5.1. const ( // domPrefixPure is empty for pure Ed25519. domPrefixPure = "" // domPrefixPh is dom2(phflag=1) for Ed25519ph. It must be followed by the // uint8-length prefixed context. domPrefixPh = "SigEd25519 no Ed25519 collisions\x01" // domPrefixCtx is dom2(phflag=0) for Ed25519ctx. It must be followed by the // uint8-length prefixed context. domPrefixCtx = "SigEd25519 no Ed25519 collisions\x00" ) func sign(signature []byte, privateKey PrivateKey, message []byte, domPrefix, context string) { if l := len(privateKey); l != PrivateKeySize { panic("ed25519: bad private key length: " + strconv.Itoa(l)) } // We have to extract the public key from the private key. publicKey := privateKey.Public().([]byte) // The private key is already the hashed value of the seed. h := privateKey s, err := edwards25519.NewScalar().SetBytesWithClamping(h[:32]) if err != nil { panic("ed25519: internal error: setting scalar failed") } prefix := h[32:] mh := sha512.New() if domPrefix != domPrefixPure { mh.Write([]byte(domPrefix)) mh.Write([]byte{byte(len(context))}) mh.Write([]byte(context)) } mh.Write(prefix) mh.Write(message) messageDigest := make([]byte, 0, sha512.Size) messageDigest = mh.Sum(messageDigest) r, err := edwards25519.NewScalar().SetUniformBytes(messageDigest) if err != nil { panic("ed25519: internal error: setting scalar failed") } R := (&edwards25519.Point{}).ScalarBaseMult(r) kh := sha512.New() if domPrefix != domPrefixPure { kh.Write([]byte(domPrefix)) kh.Write([]byte{byte(len(context))}) kh.Write([]byte(context)) } kh.Write(R.Bytes()) kh.Write(publicKey) kh.Write(message) hramDigest := make([]byte, 0, sha512.Size) hramDigest = kh.Sum(hramDigest) k, err := edwards25519.NewScalar().SetUniformBytes(hramDigest) if err != nil { panic("ed25519: internal error: setting scalar failed") } S := edwards25519.NewScalar().MultiplyAdd(k, s, r) copy(signature[:32], R.Bytes()) copy(signature[32:], S.Bytes()) } // Verify reports whether sig is a valid signature of message by publicKey. It // will panic if len(publicKey) is not [PublicKeySize]. // // This is just a wrapper around [ed25519.Verify] from the standard library. func Verify(publicKey PublicKey, message, sig []byte) bool { return ed25519.Verify(ed25519.PublicKey(publicKey), message, sig) } // VerifyWithOptions reports whether sig is a valid signature of message by // publicKey. A valid signature is indicated by returning a nil error. It will // panic if len(publicKey) is not [PublicKeySize]. // // If opts.Hash is [crypto.SHA512], the pre-hashed variant Ed25519ph is used and // message is expected to be a SHA-512 hash, otherwise opts.Hash must be // [crypto.Hash](0) and the message must not be hashed, as Ed25519 performs two // passes over messages to be signed. // // This is just a wrapper around [ed25519.VerifyWithOptions] from the standard // library. func VerifyWithOptions(publicKey PublicKey, message, sig []byte, opts *Options) error { return ed25519.VerifyWithOptions(ed25519.PublicKey(publicKey), message, sig, &ed25519.Options{ Hash: opts.Hash, Context: opts.Context, }) }