org.cryptimeleon.math.structures.groups.elliptic

Interface BilinearGroup

All Superinterfaces:

Representable, StandaloneRepresentable

All Known Implementing Classes:

BarretoNaehrigBilinearGroup, BasicBilinearGroup, CountingBilinearGroup, LazyBilinearGroup, SupersingularBilinearGroup

public interface BilinearGroup
extends StandaloneRepresentable

A bilinear group containing the associated source and target groups as well as the bilinear pairing function.

Nested Class Summary

Nested Classes

Modifier and Type	Interface and Description
static class	BilinearGroup.Type The types of a BilinearGroup.

Method Summary

Modifier and Type	Method and Description
BilinearMap	getBilinearMap() Returns the BilinearMap (contains the pairing operation) belonging to this BilinearGroup.
Group	getG1() Returns the source group G1 associated with this bilinear group.
Group	getG2() Returns the source group G2 associated with this bilinear group.
Group	getGT() Returns the target group GT associated with this bilinear group.
HashIntoGroup	getHashIntoG1() Retrieves a hash function that maps byte arrays to G1.
HashIntoGroup	getHashIntoG2() Retrieves a hash function that maps byte arrays to G2.
HashIntoGroup	getHashIntoGT() Retrieves a hash function that maps byte arrays to GT.
default HashIntoZn	getHashIntoZGroupExponent() Returns a hash into Zn, where n is the common group exponent of G1, G2 and GT.
GroupHomomorphism	getHomomorphismG2toG1() Retrieves the homomorphism from G2 to G1 if it exists.
BilinearGroup.Type	getPairingType()
java.lang.Integer	getSecurityLevel()
default Zn	getZn() Retrieves the ring Zn where n is chosen to be the order of the pairing source group G1.
default java.math.BigInteger	size() Retrieves the size of G1 (same as size of G2 and target group)

Methods inherited from interface org.cryptimeleon.math.serialization.Representable

getRepresentation

Method Detail

getG1

Group getG1()

Returns the source group G1 associated with this bilinear group.

getG2

Group getG2()

Returns the source group G2 associated with this bilinear group.

getGT

Group getGT()

Returns the target group GT associated with this bilinear group.

getBilinearMap

BilinearMap getBilinearMap()

Returns the BilinearMap (contains the pairing operation) belonging to this BilinearGroup.

getHomomorphismG2toG1

GroupHomomorphism getHomomorphismG2toG1()
                                 throws java.lang.UnsupportedOperationException

Retrieves the homomorphism from G2 to G1 if it exists.

Throws:

java.lang.UnsupportedOperationException - if no such homomorphism exists or the bilinear group is not configured to support such functionality

getHashIntoG1

HashIntoGroup getHashIntoG1()
                     throws java.lang.UnsupportedOperationException

Retrieves a hash function that maps byte arrays to G1.

Throws:

java.lang.UnsupportedOperationException - if no such hash function exists or the bilinear group is not configured to support such functionality

getHashIntoG2

HashIntoGroup getHashIntoG2()
                     throws java.lang.UnsupportedOperationException

Retrieves a hash function that maps byte arrays to G2.

Throws:

java.lang.UnsupportedOperationException - if no such hash function exists or the bilinear group is not configured to support such functionality

getHashIntoGT

HashIntoGroup getHashIntoGT()
                     throws java.lang.UnsupportedOperationException

Retrieves a hash function that maps byte arrays to GT.

Throws:

java.lang.UnsupportedOperationException - if no such hash function exists or the bilinear group is not configured to support such functionality

getSecurityLevel

java.lang.Integer getSecurityLevel()

getPairingType

BilinearGroup.Type getPairingType()

getHashIntoZGroupExponent

default HashIntoZn getHashIntoZGroupExponent()
                                      throws java.lang.UnsupportedOperationException

Returns a hash into Zn, where n is the common group exponent of G1, G2 and GT. In the case where |G1| = |G2| = p is prime, there the exponent n = p.

Throws:

java.lang.UnsupportedOperationException - if this factory does not support a hash into exponents or G1, G2, GT don't have the same group exponent

getZn

default Zn getZn()

Retrieves the ring Zn where n is chosen to be the order of the pairing source group G1.

size

default java.math.BigInteger size()

Retrieves the size of G1 (same as size of G2 and target group)