Struct NistP384 

pub struct NistP384;

NIST P-384 elliptic curve.

Trait Implementations

impl AssociatedOid for NistP384

Available on crate feature pkcs8 only.

const OID: ObjectIdentifier

The OID associated with this type.

impl Clone for NistP384

fn clone(&self) -> NistP384

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Curve for NistP384

const ORDER: Odd<U384>

Order of NIST P-384’s elliptic curve group (i.e. scalar modulus).

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

48-byte serialized field elements.

type Uint = Uint<crypto_bigint::::uint::U384::{constant#0}>

384-bit integer type used for internally representing field elements.

const FIELD_ENDIANNESS: ByteOrder = ByteOrder::BigEndian

Endianness used for serializing field elements of this curve.

impl CurveArithmetic for NistP384

type AffinePoint = AffinePoint<NistP384>

Elliptic curve point in affine coordinates.

type ProjectivePoint = ProjectivePoint<NistP384>

Elliptic curve point in projective coordinates.

type Scalar = Scalar

Scalar field modulo this curve’s order.

impl Debug for NistP384

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

Formats the value using the given formatter.

impl Default for NistP384

fn default() -> NistP384

Returns the “default value” for a type.

impl DigestAlgorithm for NistP384

Available on crate feature sha384 only.

type Digest = Sha384

Preferred digest to use when computing ECDSA signatures for this elliptic curve. This is typically a member of the SHA-2 family.

impl EcdsaCurve for NistP384

const NORMALIZE_S: bool = false

Does this curve use low-S normalized signatures?

impl FieldArithmetic for NistP384

type FieldElement = FieldElement

Base field element type.

impl Mul<&<NistP384 as CurveArithmetic>::AffinePoint> for &Scalar

type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: &AffinePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation.

impl Mul<&<NistP384 as CurveArithmetic>::AffinePoint> for Scalar

type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: &AffinePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation.

impl Mul<&<NistP384 as CurveArithmetic>::ProjectivePoint> for &Scalar

type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: &ProjectivePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation.

impl Mul<&<NistP384 as CurveArithmetic>::ProjectivePoint> for Scalar

type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: &ProjectivePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation.

impl Mul<<NistP384 as CurveArithmetic>::AffinePoint> for &Scalar

type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: AffinePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation.

impl Mul<<NistP384 as CurveArithmetic>::AffinePoint> for Scalar

type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: AffinePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation.

impl Mul<<NistP384 as CurveArithmetic>::ProjectivePoint> for &Scalar

type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: ProjectivePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation.

impl Mul<<NistP384 as CurveArithmetic>::ProjectivePoint> for Scalar

type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, rhs: ProjectivePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation.

impl MulBackend<NistP384> for PrecomputedTables

fn mul_by_generator(k: &Scalar) -> ProjectivePoint

Multiplication by the generator.

fn mul_by_generator_vartime(k: &Scalar) -> ProjectivePoint

Variable-time multiplication by the generator.

fn mul_by_generator_and_mul_add_vartime( a: &<C as CurveArithmetic>::Scalar, b_scalar: &<C as CurveArithmetic>::Scalar, b_point: &ProjectivePoint<C>, ) -> ProjectivePoint<C>

Multiply a by the generator of the prime-order subgroup, adding the result to the point P multiplied by the scalar b, i.e. compute aG + bP.

impl MulVartime<&<NistP384 as CurveArithmetic>::AffinePoint> for &Scalar

fn mul_vartime(self, rhs: &AffinePoint<NistP384>) -> ProjectivePoint<NistP384>

Multiply self by rhs in variable-time.

impl MulVartime<&<NistP384 as CurveArithmetic>::AffinePoint> for Scalar

fn mul_vartime(self, rhs: &AffinePoint<NistP384>) -> ProjectivePoint<NistP384>

Multiply self by rhs in variable-time.

impl MulVartime<&<NistP384 as CurveArithmetic>::ProjectivePoint> for &Scalar

fn mul_vartime( self, rhs: &ProjectivePoint<NistP384>, ) -> ProjectivePoint<NistP384>

Multiply self by rhs in variable-time.

impl MulVartime<&<NistP384 as CurveArithmetic>::ProjectivePoint> for Scalar

fn mul_vartime( self, rhs: &ProjectivePoint<NistP384>, ) -> ProjectivePoint<NistP384>

Multiply self by rhs in variable-time.

impl MulVartime<<NistP384 as CurveArithmetic>::AffinePoint> for &Scalar

fn mul_vartime(self, rhs: AffinePoint<NistP384>) -> ProjectivePoint<NistP384>

Multiply self by rhs in variable-time.

impl MulVartime<<NistP384 as CurveArithmetic>::AffinePoint> for Scalar

fn mul_vartime(self, rhs: AffinePoint<NistP384>) -> ProjectivePoint<NistP384>

Multiply self by rhs in variable-time.

impl MulVartime<<NistP384 as CurveArithmetic>::ProjectivePoint> for &Scalar

fn mul_vartime( self, rhs: ProjectivePoint<NistP384>, ) -> ProjectivePoint<NistP384>

Multiply self by rhs in variable-time.

impl MulVartime<<NistP384 as CurveArithmetic>::ProjectivePoint> for Scalar

fn mul_vartime( self, rhs: ProjectivePoint<NistP384>, ) -> ProjectivePoint<NistP384>

Multiply self by rhs in variable-time.

impl Ord for NistP384

fn cmp(&self, other: &NistP384) -> 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 NistP384

fn eq(&self, other: &NistP384) -> 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 NistP384

fn partial_cmp(&self, other: &NistP384) -> 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 PointCompaction for NistP384

const COMPACT_POINTS: bool = false

NIST P-384 points are typically uncompressed.

impl PointCompression for NistP384

const COMPRESS_POINTS: bool = false

NIST P-384 points are typically uncompressed.

impl PrimeCurveArithmetic for NistP384

type CurveGroup = ProjectivePoint<NistP384>

Prime order elliptic curve group.

impl PrimeCurveParams for NistP384

Adapted from NIST SP 800-186 § G.1.3: Curve P-384.

const EQUATION_A: FieldElement

a = -3 (0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc)

const EQUATION_B: FieldElement

b = b3312fa7 e23ee7e4 988e056b e3f82d19 181d9c6e fe814112 0314088f 5013875a c656398d 8a2ed19d 2a85c8ed d3ec2aef

const GENERATOR: (FieldElement, FieldElement)

Base point of P-384.

Defined in NIST SP 800-186 § G.1.3: Curve P-384.

Gₓ = aa87ca22 be8b0537 8eb1c71e f320ad74 6e1d3b62 8ba79b98
     59f741e0 82542a38 5502f25d bf55296c 3a545e38 72760ab7
Gᵧ = 3617de4a 96262c6f 5d9e98bf 9292dc29 f8f41dbd 289a147c
     e9da3113 b5f0b8c0 0a60b1ce 1d7e819d 7a431d7c 90ea0e5f

type PointArithmetic = EquationAIsMinusThree

Point arithmetic implementation, might be optimized for this specific curve

type Backend = PrecomputedTables

Scalar arithmetic backend implementation.

impl PrimeCurveWithBasepointTable<WINDOW_SIZE> for NistP384

const BASEPOINT_TABLE: &'static BasepointTable<ProjectivePoint, WINDOW_SIZE>

Basepoint table for this curve.

impl Copy for NistP384

impl Eq for NistP384

impl PrimeCurve for NistP384

impl StructuralPartialEq for NistP384