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p384

Struct NistP384

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pub struct NistP384;
Expand description

NIST P-384 elliptic curve.

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impl AssociatedOid for NistP384

Available on crate feature pkcs8 only.
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const OID: ObjectIdentifier

The OID associated with this type.
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impl Clone for NistP384

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fn clone(&self) -> NistP384

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Curve for NistP384

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const ORDER: U384

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

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

48-byte serialized field elements.

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

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

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impl CurveArithmetic for NistP384

Available on crate feature arithmetic only.
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type AffinePoint = AffinePoint<NistP384>

Elliptic curve point in affine coordinates.
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type ProjectivePoint = ProjectivePoint<NistP384>

Elliptic curve point in projective coordinates. Read more
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type Scalar = Scalar

Scalar field modulo this curve’s order. Read more
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impl Debug for NistP384

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

Formats the value using the given formatter. Read more
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impl Default for NistP384

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fn default() -> NistP384

Returns the “default value” for a type. Read more
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impl DigestPrimitive for NistP384

Available on crate features ecdsa-core and sha384 only.
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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.
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impl EcdsaCurve for NistP384

Available on crate feature ecdsa-core only.
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const NORMALIZE_S: bool = false

Does this curve use low-S normalized signatures? Read more
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impl FieldBytesEncoding<NistP384> for U384

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fn decode_field_bytes(field_bytes: &FieldBytes) -> Self

Decode unsigned integer from serialized field element. Read more
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fn encode_field_bytes(&self) -> FieldBytes

Encode unsigned integer into serialized field element. Read more
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impl GroupDigest for NistP384

Available on crate features hash2curve and arithmetic only.
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type K = UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B1>, B0>, 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
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fn hash_from_bytes<X>( msg: &[&[u8]], dst: &[&[u8]], ) -> Result<Self::ProjectivePoint, Error>
where X: ExpandMsg<Self::K>,

Computes the hash to curve routine. Read more
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fn encode_from_bytes<X>( msg: &[&[u8]], dst: &[&[u8]], ) -> Result<Self::ProjectivePoint, Error>
where X: ExpandMsg<Self::K>,

Computes the encode to curve routine. Read more
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fn hash_to_scalar<X>( msg: &[&[u8]], dst: &[&[u8]], ) -> Result<Self::Scalar, Error>
where X: ExpandMsg<Self::K>,

Computes the hash to field routine according to https://www.rfc-editor.org/rfc/rfc9380.html#section-5-4 and returns a scalar. Read more
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impl JwkParameters for NistP384

Available on crate feature jwk only.
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const CRV: &'static str = "P-384"

The crv parameter which identifies a particular elliptic curve as defined in RFC 7518 Section 6.2.1.1: https://tools.ietf.org/html/rfc7518#section-6.2.1.1 Read more
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impl MapToCurve for NistP384

Available on crate features hash2curve and arithmetic only.
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type CurvePoint = ProjectivePoint<NistP384>

The intermediate representation, an element of the curve which may or may not be in the curve subgroup.
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type FieldElement = FieldElement

The field element representation for a group value with multiple elements.
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fn map_to_curve(element: FieldElement) -> Self::CurvePoint

Map a field element into a curve point.
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fn map_to_subgroup(point: Self::CurvePoint) -> ProjectivePoint

Map a curve point to a point in the curve subgroup. This is usually done by clearing the cofactor, if necessary.
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fn add_and_map_to_subgroup( lhs: Self::CurvePoint, rhs: Self::CurvePoint, ) -> Self::ProjectivePoint

Combine two curve points into a point in the curve subgroup. This is usually done by clearing the cofactor of the sum. In case addition is not implemented for Self::CurvePoint, then both terms must be mapped to the subgroup individually before being added.
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impl Mul<&<NistP384 as CurveArithmetic>::AffinePoint> for &Scalar

Available on crate feature arithmetic only.
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type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.
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fn mul(self, rhs: &AffinePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation. Read more
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impl Mul<&<NistP384 as CurveArithmetic>::AffinePoint> for Scalar

Available on crate feature arithmetic only.
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type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.
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fn mul(self, rhs: &AffinePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation. Read more
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impl Mul<&<NistP384 as CurveArithmetic>::ProjectivePoint> for &Scalar

Available on crate feature arithmetic only.
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type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.
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fn mul(self, rhs: &ProjectivePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation. Read more
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impl Mul<&<NistP384 as CurveArithmetic>::ProjectivePoint> for Scalar

Available on crate feature arithmetic only.
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type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.
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fn mul(self, rhs: &ProjectivePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation. Read more
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impl Mul<<NistP384 as CurveArithmetic>::AffinePoint> for &Scalar

Available on crate feature arithmetic only.
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type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.
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fn mul(self, rhs: AffinePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation. Read more
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impl Mul<<NistP384 as CurveArithmetic>::AffinePoint> for Scalar

Available on crate feature arithmetic only.
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type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.
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fn mul(self, rhs: AffinePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation. Read more
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impl Mul<<NistP384 as CurveArithmetic>::ProjectivePoint> for &Scalar

Available on crate feature arithmetic only.
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type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.
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fn mul(self, rhs: ProjectivePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation. Read more
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impl Mul<<NistP384 as CurveArithmetic>::ProjectivePoint> for Scalar

Available on crate feature arithmetic only.
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type Output = <NistP384 as CurveArithmetic>::ProjectivePoint

The resulting type after applying the * operator.
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fn mul(self, rhs: ProjectivePoint<NistP384>) -> ProjectivePoint<NistP384>

Performs the * operation. Read more
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impl OprfParameters for NistP384

Available on crate feature oprf only.
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const ID: &'static [u8] = b"P384-SHA384"

See https://www.rfc-editor.org/rfc/rfc9497.html#section-4.4-1.

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type Hash = Sha384

See https://www.rfc-editor.org/rfc/rfc9497.html#section-4.4-2.4.

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type ExpandMsg = ExpandMsgXmd<Sha384>

See https://www.rfc-editor.org/rfc/rfc9497.html#section-4.4-2.2.2.10 and https://www.rfc-editor.org/rfc/rfc9497.html#section-4.4-2.2.2.12.

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impl Ord for NistP384

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

This method returns an Ordering between self and other. Read more
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fn max(self, other: Self) -> Self
where Self: Sized,

Compares and returns the maximum of two values. Read more
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fn min(self, other: Self) -> Self
where Self: Sized,

Compares and returns the minimum of two values. Read more
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fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized,

Restrict a value to a certain interval. Read more
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impl PartialEq for NistP384

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

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl PartialOrd for NistP384

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fn partial_cmp(&self, other: &NistP384) -> Option<Ordering>

This method returns an ordering between self and other values if one exists. Read more
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fn lt(&self, other: &Rhs) -> bool

Tests less than (for self and other) and is used by the < operator. Read more
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fn le(&self, other: &Rhs) -> bool

Tests less than or equal to (for self and other) and is used by the <= operator. Read more
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fn gt(&self, other: &Rhs) -> bool

Tests greater than (for self and other) and is used by the > operator. Read more
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fn ge(&self, other: &Rhs) -> bool

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl PointCompaction for NistP384

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const COMPACT_POINTS: bool = false

NIST P-384 points are typically uncompressed.

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impl PointCompression for NistP384

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const COMPRESS_POINTS: bool = false

NIST P-384 points are typically uncompressed.

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impl PrimeCurveArithmetic for NistP384

Available on crate feature arithmetic only.
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type CurveGroup = ProjectivePoint<NistP384>

Prime order elliptic curve group.
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impl PrimeCurveParams for NistP384

Available on crate feature arithmetic only.

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

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const EQUATION_A: FieldElement

a = -3 (0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc)

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const EQUATION_B: FieldElement

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

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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
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type FieldElement = FieldElement

Base field element type.
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type PointArithmetic = EquationAIsMinusThree

Point arithmetic implementation, might be optimized for this specific curve
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impl Copy for NistP384

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impl Eq for NistP384

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impl PrimeCurve for NistP384

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impl StructuralPartialEq for NistP384

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impl<C> ValidatePublicKey for C
where C: CurveArithmetic, <C as CurveArithmetic>::AffinePoint: FromEncodedPoint<C> + ToEncodedPoint<C>, <C as Curve>::FieldBytesSize: ModulusSize,

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fn validate_public_key( secret_key: &SecretKey<C>, public_key: &EncodedPoint<<C as Curve>::FieldBytesSize>, ) -> Result<(), Error>

Validate that the given EncodedPoint is a valid public key for the provided secret value.