iaik.security.ec.math.curve

Class Pairing

java.lang.Object

iaik.security.ec.math.curve.Pairing

public abstract class Pairing
extends Object

Abstract super class for elliptic curve pairing implementations.

Author:

Christian Hanser, Sebastian Ramacher

Method Summary

Modifier and Type	Method and Description
abstract ECPoint	applyIsomorphism(ECPoint p) Applies the isomorphism from curve 2 to curve 1, which is available for Type-2 pairings.
EllipticCurve	getGroup1() Get the first group.
EllipticCurve	getGroup2() Get the second group.
ExtensionField	getTargetGroup() Get target group.
PairingTypes	getType() Get the pairing type
ExtensionFieldElement[]	pair(ECPoint[] p, ECPoint q) Evaluate the pairings of multiple points p and q.
abstract ExtensionFieldElement	pair(ECPoint p, ECPoint q) Evaluate the pairing at the points p and q.
ExtensionFieldElement[]	pair(ECPoint p, ECPoint[] q) Evaluate the pairings of p and and multiple points q.
ExtensionFieldElement	pairProduct(ECPoint[] p, ECPoint[] q) Computes the product of all pairings e(p[i], q[i]).

Methods inherited from class java.lang.Object

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

Method Detail

pair

public abstract ExtensionFieldElement pair(ECPoint p,
                                           ECPoint q)

Evaluate the pairing at the points p and q.

Parameters:

p - A point in the first group.

q - A point in the second group.

Returns:

The result of the evaluation at p and q.

pair

public ExtensionFieldElement[] pair(ECPoint[] p,
                                    ECPoint q)

Evaluate the pairings of multiple points p and q.

Parameters:

p - Points in the first group.

q - A point in the second group.

Returns:

The results of the evaluation of every point in p and q.

pair

public ExtensionFieldElement[] pair(ECPoint p,
                                    ECPoint[] q)

Evaluate the pairings of p and and multiple points q.

Parameters:

p - A point in the first group.

q - Points in the second group.

Returns:

The results of the evaluation of p and every point in qq.

pairProduct

public ExtensionFieldElement pairProduct(ECPoint[] p,
                                         ECPoint[] q)

Computes the product of all pairings e(p[i], q[i]).

Parameters:

p - Points in the first group.

q - Points in the second group.

Returns:

The product of the individual pairings.

applyIsomorphism

public abstract ECPoint applyIsomorphism(ECPoint p)
                                  throws UnsupportedOperationException

Applies the isomorphism from curve 2 to curve 1, which is available for Type-2 pairings.

Parameters:

p - a point on curve 2

Returns:

a corresponding point on curve 1

Throws:

UnsupportedOperationException - if this is a Type-3 pairing

getGroup1

public EllipticCurve getGroup1()

Get the first group.

Returns:

first group

getGroup2

public EllipticCurve getGroup2()

Get the second group.

Returns:

second group

getTargetGroup

public ExtensionField getTargetGroup()

Get target group.

Returns:

target group

getType

public final PairingTypes getType()

Get the pairing type

Returns:

pairing type