Skip site navigation (1)Skip section navigation (2)

FreeBSD Manual Pages

  
 
  

home | help
Math::Prime::Util::ECPUsercContributed)Math::Prime::Util::ECProjectivePoint(3)

NAME
       Math::Prime::Util::ECProjectivePoint - Elliptic curve operations	for
       projective points

VERSION
       Version 0.73

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

       Returns a new point on the curve	defined	by the Montgomery parameter c.

   c
   n
       Returns the "c",	"d", or	"n" values that	describe the curve.

   d
       Returns the precalculated value of "int(	(c + 2)	/ 4 )".

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

   f
       Returns a possible factor found after "normalize".

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

   double
       Double the current point	on the curve.

   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.

   copy
       Returns a copy of the point.

   normalize
       Performs	an extended GCD	operation to make "z=1".  If a factor of "n"
       is found	it is put in "f".

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.

perl v5.32.1			  2018-Math::Prime::Util::ECProjectivePoint(3)

NAME | VERSION | SYNOPSIS | DESCRIPTION | FUNCTIONS | SEE ALSO | AUTHORS | COPYRIGHT

Want to link to this manual page? Use this URL:
<https://www.freebsd.org/cgi/man.cgi?query=Math::Prime::Util::ECProjectivePoint&sektion=3&manpath=FreeBSD+13.0-RELEASE+and+Ports>

home | help