Module openssl::ec

Elliptic Curve

Cryptology relies on the difficulty of solving mathematical problems, such as the factor of large integers composed of two large prime numbers and the discrete logarithm of a random eliptic curve. This module provides low-level features of the latter. Elliptic Curve protocols can provide the same security with smaller keys.

There are 2 forms of elliptic curves, Fp and F2^m. These curves use irreducible trinomial or pentanomial . Being a generic interface to a wide range of algorithms, the cuves are generally referenced by EcGroup. There are many built in groups found in Nid.

OpenSSL Wiki explains the fields and curves in detail at Eliptic Curve Cryptography.

Examples

use openssl::ec::{EcGroup, EcPoint};
use openssl::nid;
use openssl::error::ErrorStack;
fn get_ec_point() -> Result< EcPoint, ErrorStack > {
   let group = EcGroup::from_curve_name(nid::SECP224R1)?;
   let point = EcPoint::new(&group)?;
   Ok(point)
}

Structs

Asn1Flag	Named Curve or Explicit
EcGroup	Describes the curve
EcGroupRef	Reference to EcGroup
EcKey	Public and optional Private key on the given curve
EcKeyBuilder	Builder pattern for key generation
EcKeyBuilderRef	Reference to EcKeyBuilder
EcKeyRef	Reference to EcKey
EcPoint	Represents a point on the curve
EcPointRef	Reference to EcPoint
PointConversionForm	Compressed or Uncompressed conversion

Constants

EXPLICIT_CURVE	Curve defined using polynomial parameters
NAMED_CURVE	Standard Curves
POINT_CONVERSION_COMPRESSED	Compressed conversion from point value (Default)
POINT_CONVERSION_HYBRID	Performs both compressed and uncompressed conversions
POINT_CONVERSION_UNCOMPRESSED	Uncompressed conversion from point value (Binary curve default)