org.cryptimeleon.math.structures.groups.basic

Class BasicBilinearMap

java.lang.Object

org.cryptimeleon.math.structures.groups.basic.BasicBilinearMap

All Implemented Interfaces:

java.util.function.BiFunction<GroupElement,GroupElement,GroupElement>, BilinearMap

public class BasicBilinearMap
extends java.lang.Object
implements BilinearMap

A basic BilinearMapImpl wrapper where operations are evaluated naively, i.e. operation by operation.

Field Summary

Fields

Modifier and Type	Field and Description
protected BasicGroup	g1
protected BasicGroup	g2
protected BasicGroup	gt
protected BilinearMapImpl	impl

Constructor Summary

Constructors

Constructor and Description
BasicBilinearMap(BasicGroup g1, BasicGroup g2, BasicGroup gt, BilinearMapImpl impl)

Method Summary

Modifier and Type	Method and Description
BasicGroupElement	apply(GroupElement g1, GroupElement g2, java.math.BigInteger exponent) Computes \(e(g1,g2)^\text{exponent}\).
Group	getG1() Returns the source group G1 associated with this bilinear map.
Group	getG2() Returns the source group G2 associated with this bilinear map.
Group	getGT() Returns the target group GT associated with this bilinear map.
boolean	isSymmetric() Returns true if e(g,h).equals(e(h,g)) for all g, h.
java.lang.String	toString()

Methods inherited from class java.lang.Object

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

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

apply, apply, apply, applyExpr, applyExpr, applyExpr, applyExpr, innerProduct

Methods inherited from interface java.util.function.BiFunction

andThen

Field Detail

g1

protected BasicGroup g1

g2

protected BasicGroup g2

gt

protected BasicGroup gt

impl

protected BilinearMapImpl impl

Constructor Detail

BasicBilinearMap

public BasicBilinearMap(BasicGroup g1,
                        BasicGroup g2,
                        BasicGroup gt,
                        BilinearMapImpl impl)

Method Detail

getG1

public Group getG1()

Description copied from interface: BilinearMap

Returns the source group G1 associated with this bilinear map.

Specified by:

getG1 in interface BilinearMap

getG2

public Group getG2()

Description copied from interface: BilinearMap

Returns the source group G2 associated with this bilinear map.

Specified by:

getG2 in interface BilinearMap

getGT

public Group getGT()

Description copied from interface: BilinearMap

Returns the target group GT associated with this bilinear map.

Specified by:

getGT in interface BilinearMap

apply

public BasicGroupElement apply(GroupElement g1,
                               GroupElement g2,
                               java.math.BigInteger exponent)

Description copied from interface: BilinearMap

Computes \(e(g1,g2)^\text{exponent}\).

Depending on the bilinear map and the involved groups, this may be more efficiently implemented than computing it directly via apply(g1,g2).pow(exponent). For example, implementations should do exponentiation in the group with the cheapest group operation.

Specified by:

apply in interface BilinearMap

Parameters:

g1 - left hand side argument for the pairing function

g2 - right hand side argument for the pairing function

exponent - the exponent to apply to the result of the pairing

isSymmetric

public boolean isSymmetric()

Description copied from interface: BilinearMap

Returns true if e(g,h).equals(e(h,g)) for all g, h.

Specified by:

isSymmetric in interface BilinearMap

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object