org.cryptimeleon.math.structures.groups.elliptic.type3.bn

Class BarretoNaehrigTargetGroupImpl

java.lang.Object

org.cryptimeleon.math.structures.groups.elliptic.PairingTargetGroupImpl

org.cryptimeleon.math.structures.groups.elliptic.type3.bn.BarretoNaehrigTargetGroupImpl

All Implemented Interfaces:

RepresentationRestorer, Representable, StandaloneRepresentable, GroupImpl

public class BarretoNaehrigTargetGroupImpl
extends PairingTargetGroupImpl

Target group GT.

Field Summary

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

fieldOfDefinition, size

Constructor Summary

Constructors

Constructor and Description
BarretoNaehrigTargetGroupImpl(ExtensionFieldElement v, java.math.BigInteger size) Constructs a subgroup of given size in F12 where F12=F(v)=F[x]/(x^6+v).
BarretoNaehrigTargetGroupImpl(Representation r)

Method Summary

Modifier and Type	Method and Description
double	estimateCostInvPerOp() Estimates the number of inversions that can be done per group operation for the same cost.
BarretoNaehrigTargetGroupElementImpl	getElement(ExtensionFieldElement fe) Concrete implementations should wrap the extension field element into their subclass.
boolean	hasPrimeSize() Returns true if the size of this structure is known and prime.

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

equals, getCofactor, getFieldOfDefinition, getGenerator, getNeutralElement, getRepresentation, getUniformlyRandomElement, getUniqueByteLength, hashCode, init, isCommutative, restoreElement, size, toString

Methods inherited from class java.lang.Object

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

Methods inherited from interface org.cryptimeleon.math.structures.groups.GroupImpl

exp, getUniformlyRandomNonNeutral, implementsOwnExp, implementsOwnMultiExp, multiexp, restoreFromRepresentation

Constructor Detail

BarretoNaehrigTargetGroupImpl

public BarretoNaehrigTargetGroupImpl(ExtensionFieldElement v,
                                     java.math.BigInteger size)

Constructs a subgroup of given size in F12 where F12=F(v)=F[x]/(x^6+v).

Parameters:

v - element that defines extension of degree 6

size - size of subgroup

BarretoNaehrigTargetGroupImpl

public BarretoNaehrigTargetGroupImpl(Representation r)

Method Detail

getElement

public BarretoNaehrigTargetGroupElementImpl getElement(ExtensionFieldElement fe)

Description copied from class: PairingTargetGroupImpl

Concrete implementations should wrap the extension field element into their subclass.

Specified by:

getElement in class PairingTargetGroupImpl

hasPrimeSize

public boolean hasPrimeSize()
                     throws java.lang.UnsupportedOperationException

Description copied from interface: GroupImpl

Returns true if the size of this structure is known and prime.

Throws:

java.lang.UnsupportedOperationException

estimateCostInvPerOp

public double estimateCostInvPerOp()

Description copied from interface: GroupImpl

Estimates the number of inversions that can be done per group operation for the same cost. For example, 2 would mean that an inversion costs half as much as a group operation, on average.

Returns:

Estimated number of inversions that can be done per group operation for the same cost