Struct P521 

pub struct P521;

The P-521 curve.

Trait Implementations

impl Clone for P521

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 P521

impl Curve for P521

const FIELD_BYTES: usize = 66

521 bits rounds up to 66 bytes, with the top seven bits of the first byte always zero.

const ORDER_BITS: usize = 521

521, not 528. The seven-bit gap is what makes RFC 6979’s bits2int shift here where it does not for the other curves.

const B: Fp

b = 0x0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef1 09e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00

fn sqrt(x: &Fp) -> Fp

(p + 1) / 4 = 2^519, so the square root is a chain of squarings.

The other curves compute the exponent from the modulus and run square-and-multiply. Here the exponent is a power of two, so every multiply in that loop would be by one.

const NAME: &'static str = "P-521"

Display name, e.g. "P-256".

const SCALAR_BYTES: usize = 66

Width of an encoded scalar.

const GX: Fp

The base point x-coordinate.

const GY: Fp

The base point y-coordinate.

type Field = Fp

The coordinate field, GF(p).

type Scalar = Fn

The scalar ring, Z/nZ.

fn field_from_slice(bytes: &[u8]) -> Option<Fp>

Decode a field element from exactly Self::FIELD_BYTES bytes.

fn scalar_from_slice(bytes: &[u8]) -> Option<Fn>

Decode a scalar from exactly Self::SCALAR_BYTES bytes, rejecting a non-canonical encoding.

fn scalar_reduce_slice(bytes: &[u8]) -> Fn

Decode a scalar, reducing rather than rejecting.

impl Debug for P521

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

Formats the value using the given formatter.

impl EcdsaCurve for P521

const SIGNATURE_ID: &'static str = "ecdsa-p521-sha512"

The ontology identifier of this signature scheme.

type Digest = Sha512

The message digest, at the curve’s security level.

type Hmac = Hmac<Sha512>

HMAC over the same digest, for RFC 6979.

impl HasGeneratorTable for P521

fn mul_generator(scalar: &<Self as Curve>::Scalar) -> Point<Self>

scalar * G.