distributed_keygen.utils module

Useful functions for the distributed keygen module.

class distributed_keygen.utils.Shares(p=<factory>, q=<factory>, n=<factory>, biprime=<factory>, v=<factory>, lambda_=<factory>, beta=<factory>, secret_key=<factory>)

Bases: object

Shares contains all shares of this party. Every subclass contains an object for that element, such as \(p\) or \(q\). These objects contain up to two entries: “additive” and “shares”, in “additive”, the local additive share of that element is stored, in “shares”, the shamir shares of the local additive share are stored.

class Beta(additive=0, shares=<factory>)

Bases: object

Shares of \(\beta\).

additive: int = 0

shares: Dict[int, int]

class Biprime(additive=0, shares=<factory>)

Bases: object

Shares of the used biprime.

additive: int = 0

shares: Dict[int, int]

class Lambda(additive=0, shares=<factory>)

Bases: object

Shares of \(\lambda\).

additive: int = 0

shares: Dict[int, int]

class N(shares=<factory>)

Bases: object

Shares of \(n\).

shares: Dict[int, int]

class P(additive=0, shares=<factory>)

Bases: object

Shares of \(p\).

additive: int = 0

shares: Dict[int, int]

class Q(additive=0, shares=<factory>)

Bases: object

Shares of \(q\).

additive: int = 0

shares: Dict[int, int]

class SecretKey(additive=0, shares=<factory>)

Bases: object

Shares of the secret key.

additive: int = 0

shares: Dict[int, int]

class V(additive=0, shares=<factory>)

Bases: object

Shares of \(v\).

additive: int = 0

shares: Dict[int, int]

beta: Beta

biprime: Biprime

lambda_: Lambda

n: N

p: P

q: Q

secret_key: SecretKey

v: V

distributed_keygen.utils.mult_list(list_, modulus=None)

Utility function to multiply a list of numbers in a modular group

Parameters:

• list – list of elements

• modulus (Optional[int]) – modulus to be applied

Return type:

int

Returns:

product of the elements in the list modulo the modulus