rename Cypher -> Ciphertext
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@@ -14,7 +14,7 @@ func (pk *PublicKey) GetNSquare() *big.Int {
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return new(big.Int).Mul(pk.N, pk.N)
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}
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// EncryptWithR encrypts a plaintext into a cypher one with random `r` specified
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// EncryptWithR encrypts a plaintext into a ct one with random `r` specified
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// in the argument. The plain text must be smaller that N and bigger than or
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// equal zero. `r` is the randomness used to encrypt the plaintext. `r` must be
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// a random element from a multiplicative group of integers modulo N.
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@@ -27,7 +27,7 @@ func (pk *PublicKey) GetNSquare() *big.Int {
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// E(m, r) = [(1 + N) r^N] mod N^2
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//
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// See [KL 08] construction 11.32, page 414.
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func (pk *PublicKey) EncryptWithR(m *big.Int, r *big.Int) (*Cypher, error) {
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func (pk *PublicKey) EncryptWithR(m *big.Int, r *big.Int) (*Ciphertext, error) {
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if m.Cmp(ZERO) == -1 || m.Cmp(pk.N) != -1 { // m < 0 || m >= N ?
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return nil, fmt.Errorf(
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"%v is out of allowed plaintext space [0, %v)",
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@@ -44,10 +44,10 @@ func (pk *PublicKey) EncryptWithR(m *big.Int, r *big.Int) (*Cypher, error) {
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g := new(big.Int).Add(pk.N, big.NewInt(1))
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gm := new(big.Int).Exp(g, m, nSquare)
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rn := new(big.Int).Exp(r, pk.N, nSquare)
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return &Cypher{new(big.Int).Mod(new(big.Int).Mul(rn, gm), nSquare)}, nil
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return &Ciphertext{new(big.Int).Mod(new(big.Int).Mul(rn, gm), nSquare)}, nil
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}
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// Encrypt a plaintext into a cypher one. The plain text must be smaller that
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// Encrypt a plaintext into a ct one. The plain text must be smaller that
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// N and bigger than or equal zero. random is usually rand.Reader from the
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// package crypto/rand.
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//
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@@ -57,7 +57,7 @@ func (pk *PublicKey) EncryptWithR(m *big.Int, r *big.Int) (*Cypher, error) {
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// See [KL 08] construction 11.32, page 414.
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//
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// Returns an error if an error has be returned by io.Reader.
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func (pk *PublicKey) Encrypt(m *big.Int, random io.Reader) (*Cypher, error) {
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func (pk *PublicKey) Encrypt(m *big.Int, random io.Reader) (*Ciphertext, error) {
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r, err := GetRandomNumberInMultiplicativeGroup(pk.N, random)
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if err != nil {
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return nil, err
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@@ -74,31 +74,31 @@ func (pk *PublicKey) Encrypt(m *big.Int, random io.Reader) (*Cypher, error) {
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// plaintexts:
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//
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// D( (E(m1) * E(m2) mod n^2) ) = m1 + m2 mod n
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func (pk *PublicKey) Add(cypher ...*Cypher) *Cypher {
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func (pk *PublicKey) Add(ct ...*Ciphertext) *Ciphertext {
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accumulator := big.NewInt(1)
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for _, c := range cypher {
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for _, c := range ct {
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accumulator = new(big.Int).Mod(
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new(big.Int).Mul(accumulator, c.C),
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pk.GetNSquare(),
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)
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}
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return &Cypher{
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return &Ciphertext{
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C: accumulator,
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}
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}
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// Mul returns a product of `cypher` and `scalar` without decrypting `cypher`.
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// Mul returns a product of `ct` and `scalar` without decrypting `ct`.
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//
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// It's possible because Paillier is a homomorphic encryption scheme, where
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// an encrypted plaintext `m` raised to an integer `k` will decrypt to the
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// product of the plaintext `m` and `k`:
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//
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// D( E(m)^k mod N^2 ) = km mod N
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func (pk *PublicKey) Mul(cypher *Cypher, scalar *big.Int) *Cypher {
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return &Cypher{
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C: new(big.Int).Exp(cypher.C, scalar, pk.GetNSquare()),
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func (pk *PublicKey) Mul(ct *Ciphertext, scalar *big.Int) *Ciphertext {
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return &Ciphertext{
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C: new(big.Int).Exp(ct.C, scalar, pk.GetNSquare()),
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}
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}
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@@ -115,18 +115,18 @@ type SecretKey struct {
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// D(c) = [ ((c^lambda) mod N^2) - 1) / N ] lambda^-1 mod N
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//
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// See [KL 08] construction 11.32, page 414.
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func (sk *SecretKey) Decrypt(cypher *Cypher) (msg *big.Int) {
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func (sk *SecretKey) Decrypt(ct *Ciphertext) (msg *big.Int) {
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mu := new(big.Int).ModInverse(sk.Lambda, sk.N)
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tmp := new(big.Int).Exp(cypher.C, sk.Lambda, sk.GetNSquare())
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tmp := new(big.Int).Exp(ct.C, sk.Lambda, sk.GetNSquare())
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msg = new(big.Int).Mod(new(big.Int).Mul(L(tmp, sk.N), mu), sk.N)
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return
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}
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type Cypher struct {
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type Ciphertext struct {
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C *big.Int
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}
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func (this *Cypher) String() string {
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func (this *Ciphertext) String() string {
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return fmt.Sprintf("%x", this.C)
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}
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