bruteForceGroupOrder(EllipticCurve) -- A brute-force method to count the points on an elliptic curve in characteristic different from 2.

Synopsis

• Function: bruteForceGroupOrder

• Usage:

  bruteForceGroupOrder(E)

• Inputs:
  • E, an instance of the type EllipticCurve

Description

i1 : E=ellCurve(3,8,GF(13))

o1 = Elliptic Curve defined by Y^2 = X^3 + 3 X + (-5)( over(GF 13 .))

o1 : EllipticCurve

i2 : bruteForceGroupOrder(E)

o2 = 9