NAME

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

VERSION

Version 0.73

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.

AUTHORS

Dana Jacobsen <dana@acm.org>

COPYRIGHT

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