Struct Cl15k 

pub struct Cl15k<Up, Udk> {
    p: Odd<Up>,
    absolute_value: Udk,
}

A fundamental discriminant as part of the CL15 cryptosystem.

This is constructed as detailed in “Linearly Homomorphic Encryption from DDH” by Guilhem Castagnos and Fabien Laguillaumie (https://eprint.iacr.org/2025/047), corresponding to $\Delta_K$.

Up is the numeric type used to represent the prime p. Udk is the numeric type used to represent the discriminant’s absolute value, the product $q * p$.

Fields

p: Odd<Up>

absolute_value: Udk

Implementations

impl<Up, Udk> Cl15k<Up, Udk>

pub fn p(&self) -> &Up

The prime p from the setup.

Trait Implementations

impl<Up: Clone, Udk: Clone> Clone for Cl15k<Up, Udk>

fn clone(&self) -> Cl15k<Up, Udk>

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<Up, Udk> Discriminant for Cl15k<Up, Udk>

impl<Up, Udk> FundamentalDiscriminant for Cl15k<Up, Udk>

fn inject<E: Element>(&self, element: impl Element, p: &impl Encoding) -> E

where Self: NegativeDiscriminant,

Available on crate feature alloc only.

Take an element of the class group with fundamental discriminant and apply the injection such that it is mapped to an element of the class group with non-fundamental discriminant.

impl<Up, Udk: Encoding> NegativeDiscriminant for Cl15k<Up, Udk>

fn absolute_value(&self) -> impl AsRef<[u8]>

This runs in time variable to the bit-length of the discriminant.

fn upper_bound_on_order(&self) -> u32

An upper bound on the order of the class group with this discriminant.

impl<Up, Udk> OddDiscriminant for Cl15k<Up, Udk>