Files
elgamal/elgamal.go
T

134 lines
2.7 KiB
Go

package elgamal
import (
"crypto/rand"
"encoding/json"
"errors"
"fmt"
"io"
"math/big"
"gopkg.in/mgo.v2/bson"
)
// PublicKey represents an ElGamal public key.
type PublicKey struct {
G, P, Y *big.Int
}
func (pub *PublicKey) Encrypt(msg []byte, random io.Reader) (cypher *Cypher, err error) {
m := new(big.Int).SetBytes(msg)
k, err := rand.Int(random, pub.P)
if err != nil {
return
}
c1 := new(big.Int).Exp(pub.G, k, pub.P)
s := new(big.Int).Exp(pub.Y, k, pub.P)
c2 := s.Mul(s, m)
c2.Mod(c2, pub.P)
cypher = &Cypher{c1, c2, pub.P}
return
}
func (this *PublicKey) GetBSON() (interface{}, error) {
return bson.D{
{"g", fmt.Sprintf("%x", this.G)},
{"p", fmt.Sprintf("%x", this.P)},
{"y", fmt.Sprintf("%x", this.Y)},
}, nil
}
// PrivateKey represents an ElGamal private key.
type PrivateKey struct {
PublicKey
X *big.Int
}
func (this *PrivateKey) GetBSON() (interface{}, error) {
return bson.D{
{"x", fmt.Sprintf("%x", this.X)},
{"g", fmt.Sprintf("%x", this.G)},
{"p", fmt.Sprintf("%x", this.P)},
{"y", fmt.Sprintf("%x", this.Y)},
}, nil
}
func (priv *PrivateKey) Decrypt(cypher *Cypher) (msg []byte) {
s := new(big.Int).Exp(cypher.C1, priv.X, priv.P)
s.ModInverse(s, priv.P)
s.Mul(s, cypher.C2)
s.Mod(s, priv.P)
em := s.Bytes()
return em
}
type Cypher struct {
C1, C2, P *big.Int
}
func (this *Cypher) GetBSON() (interface{}, error) {
return bson.D{
{"c1", fmt.Sprintf("%x", this.C1)},
{"c2", fmt.Sprintf("%x", this.C2)},
{"p", fmt.Sprintf("%x", this.P)},
}, nil
}
func (this *Cypher) Mul(cypher1, cypher2 *Cypher) *Cypher {
this.C1 = new(big.Int).Mod(new(big.Int).Mul(cypher1.C1, cypher2.C1), cypher1.P)
this.C2 = new(big.Int).Mod(new(big.Int).Mul(cypher1.C2, cypher2.C2), cypher1.P)
this.P = cypher1.P
return this
}
func (this *Cypher) ToJSON() map[string]string {
return map[string]string{
"C1": fmt.Sprintf("%x", this.C1),
"C2": fmt.Sprintf("%x", this.C2),
"P": fmt.Sprintf("%x", this.P),
}
}
func (this *Cypher) MarshalJSON() ([]byte, error) {
return json.Marshal(this.ToJSON())
}
func (this *Cypher) UnmarshalJSON(bytes []byte) error {
m := make(map[string]string)
err := json.Unmarshal(bytes, &m)
if err != nil {
return err
}
this.FromJSON(m)
return nil
}
func (this *Cypher) FromJSON(json map[string]string) (*Cypher, error) {
var err error
this.C1, err = fromHex(json["C1"])
if err != nil {
return nil, err
}
this.C2, err = fromHex(json["C2"])
if err != nil {
return nil, err
}
this.P, err = fromHex(json["P"])
if err != nil {
return nil, err
}
return this, err
}
func fromHex(hex string) (*big.Int, error) {
n, err := new(big.Int).SetString(hex, 16)
if !err {
msg := fmt.Sprintf("Cannot convert %s to int as hexadecimal", hex)
return nil, errors.New(msg)
}
return n, nil
}