iaik.security.ec.math.field

Class PrimeFieldSumABFactory

java.lang.Object

iaik.security.ec.math.field.PrimeFieldSumABFactory

public final class PrimeFieldSumABFactory
extends Object

This field factory serves prime fields for Barreto-Naehrig curves that pass the Miller-Rabin test with certainty (1 - 2^-100). In case there is an optimized implementation of a field, it automatically returns this one. [1, Algorithm 1] is used to find the parameter for field sizes where no parameter is known a priori.

References:

[1] P. Barreto, M. Naehrig. Pairing-Friendly Elliptic Curves of Prime Order.

Author:

Sebastian Ramacher

See Also:

PrimeFieldSumAB

Method Summary

Modifier and Type	Method and Description
static AbstractPrimeField	getField(BigInteger a, BigInteger b) The factory method.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Detail

getField

public static AbstractPrimeField getField(BigInteger a,
                                          BigInteger b)

The factory method.

Parameters:

a - first parameter to construct the prime

b - second parameter to contruct the prime

Returns:

the prime field F_{a^2 + 3 b^2}