Module openssl::ec

Elliptic Curve

Cryptography 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 elliptic 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 curves are generally referenced by EcGroup. There are many built-in groups found in Nid.

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

Structs

• Asn1Flag
  Named Curve or Explicit
• EcGroup
  Describes the curve
• EcGroupRef
  Reference to EcGroup
• EcKey
  Public and optional private key on the given curve.
• EcKeyRef
  A reference to an EcKey.
• EcPoint
  Represents a point on the curve
• EcPointRef
  A reference a borrowed EcPoint.
• PointConversionForm
  Compressed or Uncompressed conversion