Module 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