Math::Prime::Util::ECAffinePoint(3p)

NAME
Math::Prime::Util::ECAffinePoint - Elliptic curve operations for affine points

VERSION
Version 0.74

SYNOPSIS
  # Create a point on a curve (a,b,n) with coordinates 0,1
  my $ECP = Math::Prime::Util::ECAffinePoint->new($a, $b, $n, 0, 1);

  # scalar multiplication by k.
  $ECP->mul($k);

  # add two points on the same curve
  $ECP->add($ECP2);

  say "P = O" if $ECP->is_infinity();

DESCRIPTION
This really should just be in Math::EllipticCurve.

To write.

FUNCTIONS

  new
  $point = Math::Prime::Util::ECAffinePoint->new(a, b, n, x, y);

Returns a new point at "(x,y,1)" on the curve "(a,b,n)".

  a

  b

  n
Returns the "a", "b", or "n" values that describe the curve.

  x

  y
Returns the "x" or "y" values that define the point on the curve.

  f
Returns a possible factor found during EC multiplication.

  add
Takes another point on the same curve as an argument and adds it this point.

  mul
Takes an integer and performs scalar multiplication of the point.

  is_infinity
Returns true if the point is (0,1), which is the point at infinity for the affine coordinates.

SEE ALSO
Math::EllipticCurve::Prime

This really should just be in a Math::EllipticCurve module.

AUTHORS
Dana Jacobsen <dana@acm.org>

COPYRIGHT
Copyright 2012-2013 by Dana Jacobsen <dana@acm.org>

This program is free software; you can redistribute it and/or modify it under the same terms as Perl itself.