Documentation ¶
Overview ¶
Package secp256k1 implements support for the elliptic curves needed for decred.
Decred uses elliptic curve cryptography using koblitz curves (specifically secp256k1) for cryptographic functions. See http://www.secg.org/collateral/sec2_final.pdf for details on the standard.
This package provides the data structures and functions implementing the crypto/elliptic Curve interface in order to permit using these curves with the standard crypto/ecdsa package provided with go. Helper functionality is provided to parse signatures and public keys from standard formats. It was designed for use with dcrd, but should be general enough for other uses of elliptic curve crypto. It was originally based on some initial work by ThePiachu, but has significantly diverged since then.
Example (DecryptMessage) ¶
This example demonstrates decrypting a message using a private key that is first parsed from raw bytes.
package main import ( "encoding/hex" "fmt" "github.com/decred/dcrd/dcrec/secp256k1" ) func main() { // Decode the hex-encoded private key. pkBytes, err := hex.DecodeString("a11b0a4e1a132305652ee7a8eb7848f6ad" + "5ea381e3ce20a2c086a2e388230811") if err != nil { fmt.Println(err) return } privKey, _ := secp256k1.PrivKeyFromBytes(secp256k1.S256(), pkBytes) ciphertext, err := hex.DecodeString("35f644fbfb208bc71e57684c3c8b437402ca" + "002047a2f1b38aa1a8f1d5121778378414f708fe13ebf7b4a7bb74407288c1958969" + "00207cf4ac6057406e40f79961c973309a892732ae7a74ee96cd89823913b8b8d650" + "a44166dc61ea1c419d47077b748a9c06b8d57af72deb2819d98a9d503efc59fc8307" + "d14174f8b83354fac3ff56075162") // Try decrypting the message. plaintext, err := secp256k1.Decrypt(privKey, ciphertext) if err != nil { fmt.Println(err) return } fmt.Println(string(plaintext)) }
Output: test message
Example (EncryptMessage) ¶
This example demonstrates encrypting a message for a public key that is first parsed from raw bytes, then decrypting it using the corresponding private key.
package main import ( "encoding/hex" "fmt" "github.com/decred/dcrd/dcrec/secp256k1" ) func main() { // Decode the hex-encoded pubkey of the recipient. pubKeyBytes, err := hex.DecodeString("04115c42e757b2efb7671c578530ec191a1" + "359381e6a71127a9d37c486fd30dae57e76dc58f693bd7e7010358ce6b165e483a29" + "21010db67ac11b1b51b651953d2") // uncompressed pubkey if err != nil { fmt.Println(err) return } pubKey, err := secp256k1.ParsePubKey(pubKeyBytes, secp256k1.S256()) if err != nil { fmt.Println(err) return } // Encrypt a message decryptable by the private key corresponding to pubKey message := "test message" ciphertext, err := secp256k1.Encrypt(pubKey, []byte(message)) if err != nil { fmt.Println(err) return } // Decode the hex-encoded private key. pkBytes, err := hex.DecodeString("a11b0a4e1a132305652ee7a8eb7848f6ad" + "5ea381e3ce20a2c086a2e388230811") if err != nil { fmt.Println(err) return } // note that we already have corresponding pubKey privKey, _ := secp256k1.PrivKeyFromBytes(secp256k1.S256(), pkBytes) // Try decrypting and verify if it's the same message. plaintext, err := secp256k1.Decrypt(privKey, ciphertext) if err != nil { fmt.Println(err) return } fmt.Println(string(plaintext)) }
Output: test message
Example (SignMessage) ¶
This example demonstrates signing a message with a secp256k1 private key that is first parsed form raw bytes and serializing the generated signature.
package main import ( "encoding/hex" "fmt" "github.com/decred/dcrd/chaincfg/chainhash" "github.com/decred/dcrd/dcrec/secp256k1" ) func main() { // Decode a hex-encoded private key. pkBytes, err := hex.DecodeString("22a47fa09a223f2aa079edf85a7c2d4f87" + "20ee63e502ee2869afab7de234b80c") if err != nil { fmt.Println(err) return } privKey, pubKey := secp256k1.PrivKeyFromBytes(secp256k1.S256(), pkBytes) // Sign a message using the private key. message := "test message" messageHash := chainhash.HashFuncB([]byte(message)) signature, err := privKey.Sign(messageHash) if err != nil { fmt.Println(err) return } // Serialize and display the signature. fmt.Printf("Serialized Signature: %x\n", signature.Serialize()) // Verify the signature for the message using the public key. verified := signature.Verify(messageHash, pubKey) fmt.Printf("Signature Verified? %v\n", verified) }
Output: Serialized Signature: 3045022100fcc0a8768cfbcefcf2cadd7cfb0fb18ed08dd2e2ae84bef1a474a3d351b26f0302200fc1a350b45f46fa00101391302818d748c2b22615511a3ffd5bb638bd777207 Signature Verified? true
Example (VerifySignature) ¶
This example demonstrates verifying a secp256k1 signature against a public key that is first parsed from raw bytes. The signature is also parsed from raw bytes.
package main import ( "encoding/hex" "fmt" "github.com/decred/dcrd/chaincfg/chainhash" "github.com/decred/dcrd/dcrec/secp256k1" ) func main() { // Decode hex-encoded serialized public key. pubKeyBytes, err := hex.DecodeString("02a673638cb9587cb68ea08dbef685c" + "6f2d2a751a8b3c6f2a7e9a4999e6e4bfaf5") if err != nil { fmt.Println(err) return } pubKey, err := secp256k1.ParsePubKey(pubKeyBytes, secp256k1.S256()) if err != nil { fmt.Println(err) return } // Decode hex-encoded serialized signature. sigBytes, err := hex.DecodeString("3045022100fcc0a8768cfbcefcf2cadd7cfb0" + "fb18ed08dd2e2ae84bef1a474a3d351b26f0302200fc1a350b45f46fa0010139130" + "2818d748c2b22615511a3ffd5bb638bd777207") if err != nil { fmt.Println(err) return } signature, err := secp256k1.ParseSignature(sigBytes, secp256k1.S256()) if err != nil { fmt.Println(err) return } // Verify the signature for the message using the public key. message := "test message" messageHash := chainhash.HashFuncB([]byte(message)) verified := signature.Verify(messageHash, pubKey) fmt.Println("Signature Verified?", verified) }
Output: Signature Verified? true
Index ¶
- Constants
- Variables
- func DecompressPoint(curve *KoblitzCurve, x *big.Int, ybit bool) (*big.Int, error)
- func Decrypt(priv *PrivateKey, in []byte) ([]byte, error)
- func Encrypt(pubkey *PublicKey, in []byte) ([]byte, error)
- func GenerateKey(curve *KoblitzCurve, rand io.Reader) (priv []byte, x, y *big.Int, err error)
- func GenerateSharedSecret(privkey *PrivateKey, pubkey *PublicKey) []byte
- func NAF(k []byte) ([]byte, []byte)
- func NonceRFC6979(privkey *big.Int, hash []byte, extra []byte, version []byte) *big.Int
- func PrivKeyFromBytes(curve *KoblitzCurve, pk []byte) (*PrivateKey, *PublicKey)
- func PrivKeyFromScalar(curve *KoblitzCurve, s []byte) (*PrivateKey, *PublicKey)
- func SignCompact(curve *KoblitzCurve, key *PrivateKey, hash []byte, isCompressedKey bool) ([]byte, error)
- type FieldVal
- func (f *FieldVal) Add(val *FieldVal) *FieldVal
- func (f *FieldVal) Add2(val *FieldVal, val2 *FieldVal) *FieldVal
- func (f *FieldVal) AddInt(ui uint) *FieldVal
- func (f *FieldVal) Bytes() *[32]byte
- func (f *FieldVal) Equals(val *FieldVal) bool
- func (f *FieldVal) Inverse() *FieldVal
- func (f *FieldVal) IsOdd() bool
- func (f *FieldVal) IsZero() bool
- func (f *FieldVal) Mul(val *FieldVal) *FieldVal
- func (f *FieldVal) Mul2(val *FieldVal, val2 *FieldVal) *FieldVal
- func (f *FieldVal) MulInt(val uint) *FieldVal
- func (f *FieldVal) Negate(magnitude uint32) *FieldVal
- func (f *FieldVal) NegateVal(val *FieldVal, magnitude uint32) *FieldVal
- func (f *FieldVal) Normalize() *FieldVal
- func (f *FieldVal) PutBytes(b *[32]byte)
- func (f *FieldVal) Set(val *FieldVal) *FieldVal
- func (f *FieldVal) SetByteSlice(b []byte) *FieldVal
- func (f *FieldVal) SetBytes(b *[32]byte) *FieldVal
- func (f *FieldVal) SetHex(hexString string) *FieldVal
- func (f *FieldVal) SetInt(ui uint) *FieldVal
- func (f *FieldVal) Square() *FieldVal
- func (f *FieldVal) SquareVal(val *FieldVal) *FieldVal
- func (f FieldVal) String() string
- func (f *FieldVal) Zero()
- type KoblitzCurve
- func (curve *KoblitzCurve) Add(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int)
- func (curve *KoblitzCurve) AddJacobian(x1, y1, z1, x2, y2, z2, x3, y3, z3 *FieldVal)
- func (curve *KoblitzCurve) BigAffineToField(x, y *big.Int) (*FieldVal, *FieldVal)
- func (curve *KoblitzCurve) Double(x1, y1 *big.Int) (*big.Int, *big.Int)
- func (curve *KoblitzCurve) FieldJacobianToBigAffine(x, y, z *FieldVal) (*big.Int, *big.Int)
- func (curve *KoblitzCurve) IsOnCurve(x, y *big.Int) bool
- func (curve *KoblitzCurve) Params() *elliptic.CurveParams
- func (curve *KoblitzCurve) QPlus1Div4() *big.Int
- func (curve *KoblitzCurve) ScalarBaseMult(k []byte) (*big.Int, *big.Int)
- func (curve *KoblitzCurve) ScalarMult(Bx, By *big.Int, k []byte) (*big.Int, *big.Int)
- type PrivateKey
- func (p PrivateKey) GetD() *big.Int
- func (p PrivateKey) GetType() int
- func (p PrivateKey) Public() (*big.Int, *big.Int)
- func (p PrivateKey) Serialize() []byte
- func (p PrivateKey) SerializeSecret() []byte
- func (p *PrivateKey) Sign(hash []byte) (*Signature, error)
- func (p *PrivateKey) ToECDSA() *ecdsa.PrivateKey
- type PublicKey
- func (p PublicKey) GetCurve() interface{}
- func (p PublicKey) GetType() int
- func (p PublicKey) GetX() *big.Int
- func (p PublicKey) GetY() *big.Int
- func (p PublicKey) Serialize() []byte
- func (p PublicKey) SerializeCompressed() []byte
- func (p PublicKey) SerializeHybrid() []byte
- func (p PublicKey) SerializeUncompressed() []byte
- func (p PublicKey) ToECDSA() *ecdsa.PublicKey
- type Signature
Examples ¶
Constants ¶
const ( PubKeyBytesLenCompressed = 33 PubKeyBytesLenUncompressed = 65 PubKeyBytesLenHybrid = 65 )
These constants define the lengths of serialized public keys.
const PrivKeyBytesLen = 32
PrivKeyBytesLen defines the length in bytes of a serialized private key.
Variables ¶
var ( // ErrInvalidMAC occurs when Message Authentication Check (MAC) fails // during decryption. This happens because of either invalid private key or // corrupt ciphertext. ErrInvalidMAC = errors.New("invalid mac hash") )
var ( // FieldOne is simply the integer 1 in field representation. It is // used to avoid needing to create it multiple times during the internal // arithmetic. FieldOne = new(FieldVal).SetInt(1) )
Functions ¶
func DecompressPoint ¶
DecompressPoint decompresses a point on the given curve given the X point and the solution to use.
func Decrypt ¶
func Decrypt(priv *PrivateKey, in []byte) ([]byte, error)
Decrypt decrypts data that was encrypted using the Encrypt function.
func Encrypt ¶
Encrypt encrypts data for the target public key using AES-256-CBC. It also generates a private key (the pubkey of which is also in the output). The only supported curve is secp256k1. The `structure' that it encodes everything into is:
struct { // Initialization Vector used for AES-256-CBC IV [16]byte // Public Key: curve(2) + len_of_pubkeyX(2) + pubkeyX + // len_of_pubkeyY(2) + pubkeyY (curve = 714) PublicKey [70]byte // Cipher text Data []byte // HMAC-SHA-256 Message Authentication Code HMAC [32]byte }
The primary aim is to ensure byte compatibility with Pyelliptic. Additionaly, refer to section 5.8.1 of ANSI X9.63 for rationale on this format.
func GenerateKey ¶
GenerateKey generates a key using a random number generator, returning the private scalar and the corresponding public key points.
func GenerateSharedSecret ¶
func GenerateSharedSecret(privkey *PrivateKey, pubkey *PublicKey) []byte
GenerateSharedSecret generates a shared secret based on a private key and a private key using Diffie-Hellman key exchange (ECDH) (RFC 4753). RFC5903 Section 9 states we should only return x.
func NAF ¶
NAF takes a positive integer k and returns the Non-Adjacent Form (NAF) as two byte slices. The first is where 1s will be. The second is where -1s will be. NAF is convenient in that on average, only 1/3rd of its values are non-zero. This is algorithm 3.30 from [GECC].
Essentially, this makes it possible to minimize the number of operations since the resulting ints returned will be at least 50% 0s.
func NonceRFC6979 ¶
NonceRFC6979 generates an ECDSA nonce (`k`) deterministically according to RFC 6979. It takes a 32-byte hash as an input and returns 32-byte nonce to be used in ECDSA algorithm.
func PrivKeyFromBytes ¶
func PrivKeyFromBytes(curve *KoblitzCurve, pk []byte) (*PrivateKey, *PublicKey)
PrivKeyFromBytes returns a private and public key for `curve' based on the private key passed as an argument as a byte slice.
func PrivKeyFromScalar ¶
func PrivKeyFromScalar(curve *KoblitzCurve, s []byte) (*PrivateKey, *PublicKey)
PrivKeyFromScalar is the same as PrivKeyFromBytes in secp256k1.
func SignCompact ¶
func SignCompact(curve *KoblitzCurve, key *PrivateKey, hash []byte, isCompressedKey bool) ([]byte, error)
SignCompact produces a compact signature of the data in hash with the given private key on the given koblitz curve. The isCompressed parameter should be used to detail if the given signature should reference a compressed public key or not. If successful the bytes of the compact signature will be returned in the format: <(byte of 27+public key solution)+4 if compressed >< padded bytes for signature R><padded bytes for signature S> where the R and S parameters are padde up to the bitlengh of the curve.
Types ¶
type FieldVal ¶
type FieldVal struct {
// contains filtered or unexported fields
}
FieldVal implements optimized fixed-precision arithmetic over the secp256k1 finite field. This means all arithmetic is performed modulo 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f. It represents each 256-bit value as 10 32-bit integers in base 2^26. This provides 6 bits of overflow in each word (10 bits in the most significant word) for a total of 64 bits of overflow (9*6 + 10 = 64). It only implements the arithmetic needed for elliptic curve operations.
The following depicts the internal representation:
----------------------------------------------------------------- | n[9] | n[8] | ... | n[0] | | 32 bits available | 32 bits available | ... | 32 bits available | | 22 bits for value | 26 bits for value | ... | 26 bits for value | | 10 bits overflow | 6 bits overflow | ... | 6 bits overflow | | Mult: 2^(26*9) | Mult: 2^(26*8) | ... | Mult: 2^(26*0) | -----------------------------------------------------------------
For example, consider the number 2^49 + 1. It would be represented as:
n[0] = 1 n[1] = 2^23 n[2..9] = 0
The full 256-bit value is then calculated by looping i from 9..0 and doing sum(n[i] * 2^(26i)) like so:
n[9] * 2^(26*9) = 0 * 2^234 = 0 n[8] * 2^(26*8) = 0 * 2^208 = 0 ... n[1] * 2^(26*1) = 2^23 * 2^26 = 2^49 n[0] * 2^(26*0) = 1 * 2^0 = 1 Sum: 0 + 0 + ... + 2^49 + 1 = 2^49 + 1
func (*FieldVal) Add ¶
Add adds the passed value to the existing field value and stores the result in f.
The field value is returned to support chaining. This enables syntax like: f.Add(f2).AddInt(1) so that f = f + f2 + 1.
func (*FieldVal) Add2 ¶
Add2 adds the passed two field values together and stores the result in f.
The field value is returned to support chaining. This enables syntax like: f3.Add2(f, f2).AddInt(1) so that f3 = f + f2 + 1.
func (*FieldVal) AddInt ¶
AddInt adds the passed integer to the existing field value and stores the result in f. This is a convenience function since it is fairly common to perform some arithemetic with small native integers.
The field value is returned to support chaining. This enables syntax like: f.AddInt(1).Add(f2) so that f = f + 1 + f2.
func (*FieldVal) Bytes ¶
Bytes unpacks the field value to a 32-byte big-endian value. See PutBytes for a variant that allows the a buffer to be passed which can be useful to to cut down on the number of allocations by allowing the caller to reuse a buffer.
The field value must be normalized for this function to return correct result.
func (*FieldVal) Equals ¶
Equals returns whether or not the two field values are the same. Both field values being compared must be normalized for this function to return the correct result.
func (*FieldVal) Inverse ¶
Inverse finds the modular multiplicative inverse of the field value. The existing field value is modified.
The field value is returned to support chaining. This enables syntax like: f.Inverse().Mul(f2) so that f = f^-1 * f2.
func (*FieldVal) IsOdd ¶
IsOdd returns whether or not the field value is an odd number.
The field value must be normalized for this function to return correct result.
func (*FieldVal) Mul ¶
Mul multiplies the passed value to the existing field value and stores the result in f. Note that this function can overflow if multiplying any of the individual words exceeds a max uint32. In practice, this means the magnitude of either value involved in the multiplication must be a max of 8.
The field value is returned to support chaining. This enables syntax like: f.Mul(f2).AddInt(1) so that f = (f * f2) + 1.
func (*FieldVal) Mul2 ¶
Mul2 multiplies the passed two field values together and stores the result result in f. Note that this function can overflow if multiplying any of the individual words exceeds a max uint32. In practice, this means the magnitude of either value involved in the multiplication must be a max of 8.
The field value is returned to support chaining. This enables syntax like: f3.Mul2(f, f2).AddInt(1) so that f3 = (f * f2) + 1.
func (*FieldVal) MulInt ¶
MulInt multiplies the field value by the passed int and stores the result in f. Note that this function can overflow if multiplying the value by any of the individual words exceeds a max uint32. Therefore it is important that the caller ensures no overflows will occur before using this function.
The field value is returned to support chaining. This enables syntax like: f.MulInt(2).Add(f2) so that f = 2 * f + f2.
func (*FieldVal) Negate ¶
Negate negates the field value. The existing field value is modified. The caller must provide the magnitude of the field value for a correct result.
The field value is returned to support chaining. This enables syntax like: f.Negate().AddInt(1) so that f = -f + 1.
func (*FieldVal) NegateVal ¶
NegateVal negates the passed value and stores the result in f. The caller must provide the magnitude of the passed value for a correct result.
The field value is returned to support chaining. This enables syntax like: f.NegateVal(f2).AddInt(1) so that f = -f2 + 1.
func (*FieldVal) Normalize ¶
Normalize normalizes the internal field words into the desired range and performs fast modular reduction over the secp256k1 prime by making use of the special form of the prime.
func (*FieldVal) PutBytes ¶
PutBytes unpacks the field value to a 32-byte big-endian value using the passed byte array. There is a similar function, Bytes, which unpacks the field value into a new array and returns that. This version is provided since it can be useful to cut down on the number of allocations by allowing the caller to reuse a buffer.
The field value must be normalized for this function to return the correct result.
func (*FieldVal) Set ¶
Set sets the field value equal to the passed value.
The field value is returned to support chaining. This enables syntax like: f := new(FieldVal).Set(f2).Add(1) so that f = f2 + 1 where f2 is not modified.
func (*FieldVal) SetByteSlice ¶
SetByteSlice packs the passed big-endian value into the internal field value representation. Only the first 32-bytes are used. As a result, it is up to the caller to ensure numbers of the appropriate size are used or the value will be truncated.
The field value is returned to support chaining. This enables syntax like: f := new(FieldVal).SetByteSlice(byteSlice)
func (*FieldVal) SetBytes ¶
SetBytes packs the passed 32-byte big-endian value into the internal field value representation.
The field value is returned to support chaining. This enables syntax like: f := new(FieldVal).SetBytes(byteArray).Mul(f2) so that f = ba * f2.
func (*FieldVal) SetHex ¶
SetHex decodes the passed big-endian hex string into the internal field value representation. Only the first 32-bytes are used.
The field value is returned to support chaining. This enables syntax like: f := new(FieldVal).SetHex("0abc").Add(1) so that f = 0x0abc + 1
func (*FieldVal) SetInt ¶
SetInt sets the field value to the passed integer. This is a convenience function since it is fairly common to perform some arithemetic with small native integers.
The field value is returned to support chaining. This enables syntax such as f := new(FieldVal).SetInt(2).Mul(f2) so that f = 2 * f2.
func (*FieldVal) Square ¶
Square squares the field value. The existing field value is modified. Note that this function can overflow if multiplying any of the individual words exceeds a max uint32. In practice, this means the magnitude of the field must be a max of 8 to prevent overflow.
The field value is returned to support chaining. This enables syntax like: f.Square().Mul(f2) so that f = f^2 * f2.
func (*FieldVal) SquareVal ¶
SquareVal squares the passed value and stores the result in f. Note that this function can overflow if multiplying any of the individual words exceeds a max uint32. In practice, this means the magnitude of the field being squred must be a max of 8 to prevent overflow.
The field value is returned to support chaining. This enables syntax like: f3.SquareVal(f).Mul(f) so that f3 = f^2 * f = f^3.
type KoblitzCurve ¶
type KoblitzCurve struct { *elliptic.CurveParams H int // cofactor of the curve. // contains filtered or unexported fields }
KoblitzCurve supports a koblitz curve implementation that fits the ECC Curve interface from crypto/elliptic.
func (*KoblitzCurve) Add ¶
Add returns the sum of (x1,y1) and (x2,y2). Part of the elliptic.Curve interface.
func (*KoblitzCurve) AddJacobian ¶
func (curve *KoblitzCurve) AddJacobian(x1, y1, z1, x2, y2, z2, x3, y3, z3 *FieldVal)
AddJacobian adds the passed Jacobian points (x1, y1, z1) and (x2, y2, z2) together and stores the result in (x3, y3, z3).
func (*KoblitzCurve) BigAffineToField ¶
func (curve *KoblitzCurve) BigAffineToField(x, y *big.Int) (*FieldVal, *FieldVal)
BigAffineToField takes an affine point (x, y) as big integers and converts it to an affine point as field values.
func (*KoblitzCurve) FieldJacobianToBigAffine ¶
FieldJacobianToBigAffine takes a Jacobian point (x, y, z) as field values and converts it to an affine point as big integers.
func (*KoblitzCurve) IsOnCurve ¶
func (curve *KoblitzCurve) IsOnCurve(x, y *big.Int) bool
IsOnCurve returns boolean if the point (x,y) is on the curve. Part of the elliptic.Curve interface. This function differs from the crypto/elliptic algorithm since a = 0 not -3.
func (*KoblitzCurve) Params ¶
func (curve *KoblitzCurve) Params() *elliptic.CurveParams
Params returns the parameters for the curve.
func (*KoblitzCurve) QPlus1Div4 ¶
func (curve *KoblitzCurve) QPlus1Div4() *big.Int
QPlus1Div4 returns the Q+1/4 constant for the curve for use in calculating square roots via exponention.
func (*KoblitzCurve) ScalarBaseMult ¶
ScalarBaseMult returns k*G where G is the base point of the group and k is a big endian integer. Part of the elliptic.Curve interface.
func (*KoblitzCurve) ScalarMult ¶
ScalarMult returns k*(Bx, By) where k is a big endian integer. Part of the elliptic.Curve interface.
type PrivateKey ¶
type PrivateKey ecdsa.PrivateKey
PrivateKey wraps an ecdsa.PrivateKey as a convenience mainly for signing things with the the private key without having to directly import the ecdsa package.
func GeneratePrivateKey ¶
func GeneratePrivateKey(curve *KoblitzCurve) (*PrivateKey, error)
GeneratePrivateKey is a wrapper for ecdsa.GenerateKey that returns a PrivateKey instead of the normal ecdsa.PrivateKey.
func NewPrivateKey ¶
func NewPrivateKey(curve *KoblitzCurve, d *big.Int) *PrivateKey
NewPrivateKey instantiates a new private key from a scalar encoded as a big integer.
func (PrivateKey) GetD ¶
func (p PrivateKey) GetD() *big.Int
GetD satisfies the chainec PrivateKey interface.
func (PrivateKey) GetType ¶
func (p PrivateKey) GetType() int
GetType satisfies the chainec PrivateKey interface.
func (PrivateKey) Public ¶
func (p PrivateKey) Public() (*big.Int, *big.Int)
Public returns the PublicKey corresponding to this private key.
func (PrivateKey) Serialize ¶
func (p PrivateKey) Serialize() []byte
Serialize returns the private key number d as a big-endian binary-encoded number, padded to a length of 32 bytes.
func (PrivateKey) SerializeSecret ¶
func (p PrivateKey) SerializeSecret() []byte
SerializeSecret satisfies the chainec PrivateKey interface.
func (*PrivateKey) Sign ¶
func (p *PrivateKey) Sign(hash []byte) (*Signature, error)
Sign generates an ECDSA signature for the provided hash (which should be the result of hashing a larger message) using the private key. Produced signature is deterministic (same message and same key yield the same signature) and canonical in accordance with RFC6979 and BIP0062.
func (*PrivateKey) ToECDSA ¶
func (p *PrivateKey) ToECDSA() *ecdsa.PrivateKey
ToECDSA returns the private key as a *ecdsa.PrivateKey.
type PublicKey ¶
PublicKey is an ecdsa.PublicKey with additional functions to serialize in uncompressed, compressed, and hybrid formats.
func NewPublicKey ¶
NewPublicKey instantiates a new public key with the given X,Y coordinates.
func ParsePubKey ¶
func ParsePubKey(pubKeyStr []byte, curve *KoblitzCurve) (key *PublicKey, err error)
ParsePubKey parses a public key for a koblitz curve from a bytestring into a ecdsa.Publickey, verifying that it is valid. It supports compressed, uncompressed and hybrid signature formats.
func RecoverCompact ¶
func RecoverCompact(curve *KoblitzCurve, signature, hash []byte) (*PublicKey, bool, error)
RecoverCompact verifies the compact signature "signature" of "hash" for the Koblitz curve in "curve". If the signature matches then the recovered public key will be returned as well as a boolen if the original key was compressed or not, else an error will be returned.
func (PublicKey) GetCurve ¶
func (p PublicKey) GetCurve() interface{}
GetCurve satisfies the chainec PublicKey interface.
func (PublicKey) Serialize ¶
Serialize serializes a public key in a 33-byte compressed format. It is the default serialization method.
func (PublicKey) SerializeCompressed ¶
SerializeCompressed serializes a public key in a 33-byte compressed format.
func (PublicKey) SerializeHybrid ¶
SerializeHybrid serializes a public key in a 65-byte hybrid format.
func (PublicKey) SerializeUncompressed ¶
SerializeUncompressed serializes a public key in a 65-byte uncompressed format.
type Signature ¶
Signature is a type representing an ecdsa signature.
func NewSignature ¶
NewSignature instantiates a new signature given some R,S values.
func ParseDERSignature ¶
ParseDERSignature parses a signature in DER format for the curve type `curve` into a Signature type. If parsing according to the less strict BER format is needed, use ParseSignature.
func ParseSignature ¶
ParseSignature parses a signature in BER format for the curve type `curve' into a Signature type, perfoming some basic sanity checks. If parsing according to the more strict DER format is needed, use ParseDERSignature.
func (*Signature) Serialize ¶
Serialize returns the ECDSA signature in the more strict DER format. Note that the serialized bytes returned do not include the appended hash type used in Decred signature scripts.
encoding/asn1 is broken so we hand roll this output:
0x30 <length> 0x02 <length r> r 0x02 <length s> s