org.cryptimeleon.math.structures.groups.elliptic.type1.supersingular

Class SupersingularTatePairing

java.lang.Object

org.cryptimeleon.math.structures.groups.elliptic.AbstractPairing

org.cryptimeleon.math.structures.groups.elliptic.type1.supersingular.SupersingularTatePairing

All Implemented Interfaces:

java.util.function.BiFunction<GroupElementImpl,GroupElementImpl,GroupElementImpl>, BilinearMapImpl

public class SupersingularTatePairing
extends AbstractPairing

Tate-pairing implementation for the supersingular bilinear group.

Field Summary

Fields inherited from class org.cryptimeleon.math.structures.groups.elliptic.AbstractPairing

g1, g2, gT

Constructor Summary

Constructors

Constructor and Description
SupersingularTatePairing(SupersingularSourceGroupImpl g1, SupersingularTargetGroupImpl gT)

Method Summary

Modifier and Type	Method and Description
protected ExtensionFieldElement	evaluateLine(FieldElement[] line, PairingSourceGroupElement P, PairingSourceGroupElement Q) Abstract class that evaluates a line through a given point at another point.
boolean	isSymmetric() Returns true if \(e(g,h) = e(h,g)\) for all g in G1, h in G2.
protected ExtensionFieldElement	pair(PairingSourceGroupElement P, PairingSourceGroupElement Q) Computes the first step of the pairing.

Methods inherited from class org.cryptimeleon.math.structures.groups.elliptic.AbstractPairing

apply, equals, exponentiate, hashCode, init, miller

Methods inherited from class java.lang.Object

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

Methods inherited from interface org.cryptimeleon.math.structures.groups.elliptic.BilinearMapImpl

apply

Methods inherited from interface java.util.function.BiFunction

andThen

Constructor Detail

SupersingularTatePairing

public SupersingularTatePairing(SupersingularSourceGroupImpl g1,
                                SupersingularTargetGroupImpl gT)

Method Detail

evaluateLine

protected ExtensionFieldElement evaluateLine(FieldElement[] line,
                                             PairingSourceGroupElement P,
                                             PairingSourceGroupElement Q)

Description copied from class: AbstractPairing

Abstract class that evaluates a line through a given point at another point.

The line is parameterized by the point P and the argument line. Here, line is the result of the function EllipticCurvePoint.computeLine. The line is evaluated at the point Q.

Specified by:

evaluateLine in class AbstractPairing

Parameters:

line - - parameterization of the line

P - - point on the line

Q - - point where line es evaluated

Returns:

l_P(Q)

pair

protected ExtensionFieldElement pair(PairingSourceGroupElement P,
                                     PairingSourceGroupElement Q)

Description copied from class: AbstractPairing

Computes the first step of the pairing.

A pairing is computed in several steps, where the first step includes miller Algorithm and the second step is the final exponentiation. This functions computes the first step of the pairing computation that depends on the concrete pairing.

Specified by:

pair in class AbstractPairing

Parameters:

P - - first argument of pairing

Q - - second argument of pairing

Returns:

- result of first step

isSymmetric

public boolean isSymmetric()

Description copied from interface: BilinearMapImpl

Returns true if \(e(g,h) = e(h,g)\) for all g in G1, h in G2.