Struct LinearizedPoly8b 

pub struct LinearizedPoly8b(/* private fields */);

An F_2-linear map written as sum_j c_j x^(2^j).

Every F_2-linear map on the field has exactly one such form.

Both sides are 64-dimensional over GF(2), and the correspondence is injective.

Held as coefficients rather than as a matrix, because that is the form a protocol states a Frobenius-twisted weight in.

The width in the name is the field’s, since the form is specific to it.

Implementations

impl LinearizedPoly8b

pub const fn new(coefficients: [Rijndael8b; 8]) -> Self

The map with the given coefficients, in order of increasing squaring power.

pub const fn coefficients(&self) -> [Rijndael8b; 8]

The coefficients, in order of increasing squaring power.

pub fn eval(&self, x: Rijndael8b) -> Rijndael8b

The value at one point, summed term by term.

This is the definition, kept for a single point and for checking the tabulated form.

pub const fn to_matrix(&self) -> ByteMatrix

The same map, tabulated for the byte-wise engine.

Algorithm

A linear map is fixed by the images of the eight basis vectors.

Each image is that vector’s own Frobenius orbit summed against the coefficients.

    image(v)  =  sum over j of  c_j * v^(2^j)

Trait Implementations

impl Clone for LinearizedPoly8b

fn clone(&self) -> Self

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for LinearizedPoly8b

impl Debug for LinearizedPoly8b

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Default for LinearizedPoly8b

fn default() -> Self

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for LinearizedPoly8b

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Eq for LinearizedPoly8b

impl Hash for LinearizedPoly8b

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl PartialEq for LinearizedPoly8b

fn eq(&self, other: &Self) -> bool

Equality operator ==.

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=.

impl Serialize for LinearizedPoly8b

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl StructuralPartialEq for LinearizedPoly8b