Struct Decaf448 

pub struct Decaf448;

Decaf448 curve.

Trait Implementations

impl Clone for Decaf448

fn clone(&self) -> Decaf448

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Curve for Decaf448

const ORDER: Odd<U448> = ORDER

Order of this curve’s prime order subgroup, i.e. number of elements in the scalar field.

type FieldBytesSize = UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B1>, B1>, B0>, B0>, B0>

Size of a serialized field element in bytes (base field or scalar).

type Uint = Uint<crypto_bigint::::uint::U448::{constant#0}>

Integer type used to represent field elements of this elliptic curve.

const FIELD_ENDIANNESS: ByteOrder = ByteOrder::BigEndian

Endianness used for serializing field elements of this curve.

impl CurveArithmetic for Decaf448

type AffinePoint = AffinePoint

Elliptic curve point in affine coordinates.

type ProjectivePoint = DecafPoint

Elliptic curve point in projective coordinates.

type Scalar = Scalar<Decaf448>

Scalar field modulo this curve’s order.

impl CurveWithScalar for Decaf448

type ReprSize = UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B1>, B1>, B0>, B0>, B0>

fn from_bytes_mod_order_wide( input: &Array<u8, Prod<<Self as CurveWithScalar>::ReprSize, U2>>, ) -> Scalar<Self>

fn from_canonical_bytes( bytes: &Array<u8, <Self as CurveWithScalar>::ReprSize>, ) -> CtOption<Scalar<Self>>

fn to_repr( scalar: &Scalar<Self>, ) -> Array<u8, <Self as CurveWithScalar>::ReprSize>

impl Debug for Decaf448

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

Formats the value using the given formatter.

impl Default for Decaf448

fn default() -> Decaf448

Returns the “default value” for a type.

impl GroupDigest for Decaf448

const HASH_TO_CURVE_ID: &[u8] = b"decaf448_XOF:SHAKE256_D448MAP_RO_"

Suite ID for the hash to curve routine.

const ENCODE_TO_CURVE_ID: &[u8] = b"decaf448_XOF:SHAKE256_D448MAP_NU_"

Suite ID for the encode to curve routine.

type ExpandMsg = ExpandMsgXof<Shake<136>>

The expand_message function to use.

fn hash_from_bytes( msg: &[&[u8]], dst: &[&[u8]], ) -> Result<Self::ProjectivePoint, <Self::ExpandMsg as ExpandMsg<Self::SecurityLevel>>::Error>

Computes the hash to curve routine, with message equal to the concatenation of the elements in msg, and domain separator equal to the concatenation of the elements in dst.

fn encode_from_bytes( msg: &[&[u8]], dst: &[&[u8]], ) -> Result<Self::ProjectivePoint, <Self::ExpandMsg as ExpandMsg<Self::SecurityLevel>>::Error>

Computes the encode to curve routine, with message equal to the concatenation of the elements in msg, and domain separator equal to the concatenation of the elements in dst.

impl Hash for Decaf448

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 MapToCurve for Decaf448

type SecurityLevel = UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B1>, B1>, B0>, B0>

The target security level in bytes: https://www.rfc-editor.org/rfc/rfc9380.html#section-8.9-2.2 https://www.rfc-editor.org/rfc/rfc9380.html#name-target-security-levels

type FieldElement = FieldElement

The field element representation for a group value with multiple elements.

type Length = UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B1>, B1>, B0>, B0>, B0>

The L parameter as specified in the RFC.

fn map_to_curve(element: FieldElement) -> DecafPoint

Map a field element into a curve point.

impl Mul<&<Decaf448 as CurveArithmetic>::AffinePoint> for &DecafScalar

type Output = <Decaf448 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: &AffinePoint<Decaf448>) -> ProjectivePoint<Decaf448>

Performs the * operation.

impl Mul<&<Decaf448 as CurveArithmetic>::AffinePoint> for DecafScalar

type Output = <Decaf448 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: &AffinePoint<Decaf448>) -> ProjectivePoint<Decaf448>

Performs the * operation.

impl Mul<&<Decaf448 as CurveArithmetic>::ProjectivePoint> for &DecafScalar

type Output = <Decaf448 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: &ProjectivePoint<Decaf448>) -> ProjectivePoint<Decaf448>

Performs the * operation.

impl Mul<&<Decaf448 as CurveArithmetic>::ProjectivePoint> for DecafScalar

type Output = <Decaf448 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: &ProjectivePoint<Decaf448>) -> ProjectivePoint<Decaf448>

Performs the * operation.

impl Mul<<Decaf448 as CurveArithmetic>::AffinePoint> for &DecafScalar

type Output = <Decaf448 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: AffinePoint<Decaf448>) -> ProjectivePoint<Decaf448>

Performs the * operation.

impl Mul<<Decaf448 as CurveArithmetic>::AffinePoint> for DecafScalar

type Output = <Decaf448 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: AffinePoint<Decaf448>) -> ProjectivePoint<Decaf448>

Performs the * operation.

impl Mul<<Decaf448 as CurveArithmetic>::ProjectivePoint> for &DecafScalar

type Output = <Decaf448 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: ProjectivePoint<Decaf448>) -> ProjectivePoint<Decaf448>

Performs the * operation.

impl Mul<<Decaf448 as CurveArithmetic>::ProjectivePoint> for DecafScalar

type Output = <Decaf448 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: ProjectivePoint<Decaf448>) -> ProjectivePoint<Decaf448>

Performs the * operation.

impl MulVartime<&<Decaf448 as CurveArithmetic>::AffinePoint> for &DecafScalar

fn mul_vartime(self, rhs: &AffinePoint<Decaf448>) -> ProjectivePoint<Decaf448>

Multiply self by rhs in variable-time.

impl MulVartime<&<Decaf448 as CurveArithmetic>::AffinePoint> for DecafScalar

fn mul_vartime(self, rhs: &AffinePoint<Decaf448>) -> ProjectivePoint<Decaf448>

Multiply self by rhs in variable-time.

impl MulVartime<&<Decaf448 as CurveArithmetic>::ProjectivePoint> for &DecafScalar

fn mul_vartime( self, rhs: &ProjectivePoint<Decaf448>, ) -> ProjectivePoint<Decaf448>

Multiply self by rhs in variable-time.

impl MulVartime<&<Decaf448 as CurveArithmetic>::ProjectivePoint> for DecafScalar

fn mul_vartime( self, rhs: &ProjectivePoint<Decaf448>, ) -> ProjectivePoint<Decaf448>

Multiply self by rhs in variable-time.

impl MulVartime<<Decaf448 as CurveArithmetic>::AffinePoint> for &DecafScalar

fn mul_vartime(self, rhs: AffinePoint<Decaf448>) -> ProjectivePoint<Decaf448>

Multiply self by rhs in variable-time.

impl MulVartime<<Decaf448 as CurveArithmetic>::AffinePoint> for DecafScalar

fn mul_vartime(self, rhs: AffinePoint<Decaf448>) -> ProjectivePoint<Decaf448>

Multiply self by rhs in variable-time.

impl MulVartime<<Decaf448 as CurveArithmetic>::ProjectivePoint> for &DecafScalar

fn mul_vartime( self, rhs: ProjectivePoint<Decaf448>, ) -> ProjectivePoint<Decaf448>

Multiply self by rhs in variable-time.

impl MulVartime<<Decaf448 as CurveArithmetic>::ProjectivePoint> for DecafScalar

fn mul_vartime( self, rhs: ProjectivePoint<Decaf448>, ) -> ProjectivePoint<Decaf448>

Multiply self by rhs in variable-time.

impl Ord for Decaf448

fn cmp(&self, other: &Decaf448) -> Ordering

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Self

where Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Self

where Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

where Self: Sized,

Restrict a value to a certain interval.

impl PartialEq for Decaf448

fn eq(&self, other: &Decaf448) -> bool

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialOrd for Decaf448

fn partial_cmp(&self, other: &Decaf448) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

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

Tests less than (for self and other) and is used by the < operator.

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

Tests less than or equal to (for self and other) and is used by the <= operator.

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

Tests greater than (for self and other) and is used by the > operator.

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

Tests greater than or equal to (for self and other) and is used by the >= operator.

impl PointCompression for Decaf448

const COMPRESS_POINTS: bool = true

Should point compression be applied by default?

impl Copy for Decaf448

impl Eq for Decaf448

impl PrimeCurve for Decaf448

impl StructuralPartialEq for Decaf448