Struct NistP521 

pub struct NistP521;

NIST P-521 elliptic curve.

Trait Implementations

impl AssociatedOid for NistP521

const OID: ObjectIdentifier

The OID associated with this type.

impl Clone for NistP521

fn clone(&self) -> NistP521

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Curve for NistP521

const ORDER: U576

Order of NIST P-521’s elliptic curve group (i.e. scalar modulus).

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

66-byte serialized field elements.

type Uint = Uint<crypto_bigint::::uint::U576::{constant#0}>

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

impl CurveArithmetic for NistP521

type AffinePoint = AffinePoint<NistP521>

Elliptic curve point in affine coordinates.

type ProjectivePoint = ProjectivePoint<NistP521>

Elliptic curve point in projective coordinates.

type Scalar = Scalar

Scalar field modulo this curve’s order.

impl Debug for NistP521

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

Formats the value using the given formatter.

impl Default for NistP521

fn default() -> NistP521

Returns the “default value” for a type.

impl FieldBytesEncoding<NistP521> for U576

fn decode_field_bytes( field_bytes: &GenericArray<u8, <C as Curve>::FieldBytesSize>, ) -> Self

Decode unsigned integer from serialized field element.

fn encode_field_bytes(&self) -> GenericArray<u8, <C as Curve>::FieldBytesSize>

Encode unsigned integer into serialized field element.

impl Ord for NistP521

fn cmp(&self, other: &NistP521) -> 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 NistP521

fn eq(&self, other: &NistP521) -> 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 NistP521

fn partial_cmp(&self, other: &NistP521) -> 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 NistP521

const COMPACT_POINTS: bool = false

NIST P-521 points are typically uncompacted.

impl PointCompression for NistP521

const COMPRESS_POINTS: bool = false

NIST P-521 points are typically uncompressed.

impl PrimeCurveArithmetic for NistP521

type CurveGroup = ProjectivePoint<NistP521>

Prime order elliptic curve group.

impl PrimeCurveParams for NistP521

Adapted from NIST SP 800-186 § 3.2.1.5: P-521.

const EQUATION_A: FieldElement

a = -3 (0x1ff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffc)

const EQUATION_B: FieldElement

b = 0x051 953eb961 8e1c9a1f 929a21a0 b68540ee a2da725b 99b315f3 b8b48991 8ef109e1 56193951 ec7e937b 1652c0bd 3bb1bf07 3573df88 3d2c34f1 ef451fd4 6b503f00

const GENERATOR: (FieldElement, FieldElement)

Base point of P-521.

Gₓ = 0x0c6 858e06b7 0404e9cd 9e3ecb66 2395b442 9c648139 053fb521
           f828af60 6b4d3dba a14b5e77 efe75928 fe1dc127 a2ffa8de
           3348b3c1 856a429b f97e7e31 c2e5bd66
Gᵧ = 0x118 39296a78 9a3bc004 5c8a5fb4 2c7d1bd9 98f54449 579b4468
           17afbd17 273e662c 97ee7299 5ef42640 c550b901 3fad0761
           353c7086 a272c240 88be9476 9fd16650

type FieldElement = FieldElement

Base field element type.

type PointArithmetic = EquationAIsMinusThree

Point arithmetic implementation, might be optimized for this specific curve

impl SignPrimitive<NistP521> for Scalar

fn try_sign_prehashed<K>( &self, k: K, z: &GenericArray<u8, <C as Curve>::FieldBytesSize>, ) -> Result<(Signature<C>, Option<RecoveryId>), Error>

where K: AsRef<Self> + Invert<Output = CtOption<Self>>,

Try to sign the prehashed message.

fn try_sign_prehashed_rfc6979<D>( &self, z: &GenericArray<u8, <C as Curve>::FieldBytesSize>, ad: &[u8], ) -> Result<(Signature<C>, Option<RecoveryId>), Error>

where Self: From<ScalarPrimitive<C>> + Invert<Output = CtOption<Self>>, D: Digest<OutputSize = <C as Curve>::FieldBytesSize> + BlockSizeUser + FixedOutput + FixedOutputReset,

Try to sign the given message digest deterministically using the method described in RFC6979 for computing ECDSA ephemeral scalar k.

impl VerifyPrimitive<NistP521> for AffinePoint

fn verify_prehashed( &self, z: &GenericArray<u8, <C as Curve>::FieldBytesSize>, sig: &Signature<C>, ) -> Result<(), Error>

Verify the prehashed message against the provided ECDSA signature.

fn verify_digest<D>( &self, msg_digest: D, sig: &Signature<C>, ) -> Result<(), Error>

where D: FixedOutput<OutputSize = <C as Curve>::FieldBytesSize>,

Verify message digest against the provided signature.

impl Copy for NistP521

impl Eq for NistP521

impl PrimeCurve for NistP521

impl StructuralPartialEq for NistP521