xtrace_sdk.crypto.encryption.paillier

Classes

Paillier

A self implemented paillier encryption scheme

Module Contents

class xtrace_sdk.crypto.encryption.paillier.Paillier(keys)

Bases: xtrace_sdk.crypto.encryption.homomorphic_base.HomomorphicBase[gmpy2.mpz, gmpy2.mpz, xtrace_sdk.utils.xtrace_types.PaillierKeyPair, xtrace_sdk.utils.xtrace_types.PaillierPublicKey]

A self implemented paillier encryption scheme

Parameters:

keys (xtrace_sdk.utils.xtrace_types.PaillierKeyPair)

keys
static key_gen(key_len)

Key generation routine for the Paillier crypto scheme.

Parameters:

key_len (int) – the number of bits in PK SK

Returns:

Paillier PK, SK pair

Return type:

PaillierKeyPair

static generate_random_r(pk)

Helper function for encryption required by Paillier scheme

Parameters:

pk (PaillierPublicKey) – the public key

Returns:

a random r to be used for encryption.

Return type:

gmpy2.mpz

static encrypt(plaintext, pk)

Encryption with PK

Parameters:

  • plaintext (gmpy2.mpz) – the plaintext to be encrypted.

  • pk (PaillierPublicKey) – the public key to be used for encryption

Returns:

Paillier cipher

Return type:

gmpy2.mpz

static decrypt(ciphertext, keys)

Decrypts a cihpher with paillier key pair and returns the plaintext

Parameters:

  • ciphertext (gmpy2.mpz) – cipher to be decrypted

  • keys (PaillierKeyPair) – pk,sk pair where sk is used to encrypt ct.

Returns:

plaintext

Return type:

gmpy2.mpz

static add(ciphertext1, ciphertext2, pk)

Homomorphic addition of Paillier crypto system.

Parameters:

  • ciphertext1 (int) – one the ciphers to be added

  • ciphertext2 (int) – one the ciphers to be added

  • pk (PaillierPublicKey) – Pailier public key

Returns:

ciphertext3 such that decrypt(ct3,sk) = decrypt(ct1,sk) + decrypt(ct2,sk)

Return type:

gmpy2.mpz

static multiply(ciphertext1, ciphertext2, pk)
Abstractmethod:

Parameters:

  • ciphertext1 (gmpy2.mpz)

  • ciphertext2 (gmpy2.mpz)

  • pk (xtrace_sdk.utils.xtrace_types.PaillierPublicKey)

Return type:

gmpy2.mpz

Not supported for Paillier.

static xor(ciphertext1, ciphertext2, pk)
Abstractmethod:

Parameters:

  • ciphertext1 (gmpy2.mpz)

  • ciphertext2 (gmpy2.mpz)

  • pk (xtrace_sdk.utils.xtrace_types.PaillierPublicKey)

Return type:

gmpy2.mpz

Not supported for Paillier.