vsss_rust::utils

Struct Polynomial

Source 
pub struct Polynomial {
    pub coefficients: Vec<BigUint>,
}
Expand description

Represents a polynomial with coefficients in BigUint. This struct is used for operations such as Shamir’s Secret Sharing.

Fields§

§coefficients: Vec<BigUint>

The coefficients of the polynomial.

Implementations§

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impl Polynomial

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pub fn new(degree: usize, max_bit_size: usize) -> Self

Creates a new polynomial with random coefficients.

§Arguments
  • degree - The degree of the polynomial.
  • max_bit_size - The maximum bit size for the random coefficients.
§Returns

A Polynomial instance with randomly generated coefficients.

Source

pub fn new_for_shamir( threshold: usize, secret_bits: usize, secret: &BigUint, ) -> Self

Creates a new polynomial specifically designed for Shamir’s Secret Sharing (SSS). In SSS, the secret is embedded as the constant term (the 0th coefficient) of the polynomial, and the remaining coefficients are generated randomly. This method ensures that the polynomial is initialized accordingly, with the provided secret as the constant term and random coefficients for the other terms, up to the specified threshold.

§Arguments
  • threshold: The threshold number of shares needed to reconstruct the secret. This also determines the degree of the polynomial, which will be threshold - 1.
  • secret_bits: The number of bits of the secret. This is used to determine the range of random coefficients generated for the polynomial’s terms, ensuring they are of a similar magnitude to the secret.
  • secret: A reference to the BigUint representing the secret to be shared. This value will be used as the constant term of the polynomial.
§Returns

A Polynomial instance with the specified secret embedded as the constant term, and random coefficients for the other terms, making it suitable for use in Shamir’s Secret Sharing.

Source

pub fn evaluate(&self, x: &BigUint) -> BigUint

Evaluates the polynomial at a given point x.

§Arguments
  • x - The point at which to evaluate the polynomial.
§Returns

The value of the polynomial at point x.

Source

pub fn to_string(&self) -> String

Returns a string representation of the polynomial.

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