Uses of Class
net.i2p.crypto.eddsa.math.GroupElement

Packages that use GroupElement

Package	Description
net.i2p.crypto.eddsa	Java implementation of EdDSA, a digital signature scheme using a variant of elliptic curve cryptography based on Twisted Edwards curves.
net.i2p.crypto.eddsa.math	Data structures that definie curves and fields, and the mathematical operaions on them.
net.i2p.crypto.eddsa.spec	Specifications for curves and keys, and a table for named curves.

Uses of GroupElement in net.i2p.crypto.eddsa

Methods in net.i2p.crypto.eddsa that return GroupElement

Modifier and Type	Method	Description
GroupElement	EdDSAPrivateKey.getA()
GroupElement	EdDSAPublicKey.getA()
GroupElement	EdDSAPublicKey.getNegativeA()

Uses of GroupElement in net.i2p.crypto.eddsa.math

Fields in net.i2p.crypto.eddsa.math declared as GroupElement

Modifier and Type	Field	Description
(package private) final GroupElement[]	GroupElement.dblPrecmp	Precomputed table for doubleScalarMultiplyVariableTime(GroupElement, byte[], byte[]), filled if necessary.
(package private) final GroupElement[][]	GroupElement.precmp	Precomputed table for scalarMultiply(byte[]), filled if necessary.

Methods in net.i2p.crypto.eddsa.math that return GroupElement

Modifier and Type	Method	Description
GroupElement	GroupElement.add(GroupElement q)	GroupElement addition using the twisted Edwards addition law with extended coordinates (Hisil2008).
static GroupElement	GroupElement.cached(Curve curve, FieldElement YpX, FieldElement YmX, FieldElement Z, FieldElement T2d)	Creates a new group element in CACHED representation.
(package private) GroupElement	GroupElement.cmov(GroupElement u, int b)	Constant-time conditional move.
GroupElement	Curve.createPoint(byte[] P, boolean precompute)
GroupElement	GroupElement.dbl()	Doubles a given group element $p$ in $P^2$ or $P^3$ representation and returns the result in $P \times P$ representation.
GroupElement	GroupElement.doubleScalarMultiplyVariableTime(GroupElement A, byte[] a, byte[] b)	$r = a * A + b * B$ where $a = a[0]+256*a[1]+\dots+256^{31} a[31]$, $b = b[0]+256*b[1]+\dots+256^{31} b[31]$ and $B$ is this point.
GroupElement	Curve.getZero(GroupElement.Representation repr)
GroupElement	GroupElement.negate()	Negates this group element by subtracting it from the neutral group element.
static GroupElement	GroupElement.p1p1(Curve curve, FieldElement X, FieldElement Y, FieldElement Z, FieldElement T)	Creates a new group element in P1P1 representation.
static GroupElement	GroupElement.p2(Curve curve, FieldElement X, FieldElement Y, FieldElement Z)	Creates a new group element in P2 representation.
static GroupElement	GroupElement.p3(Curve curve, FieldElement X, FieldElement Y, FieldElement Z, FieldElement T)	Creates a new group element in P3 representation, without pre-computation.
static GroupElement	GroupElement.p3(Curve curve, FieldElement X, FieldElement Y, FieldElement Z, FieldElement T, boolean precomputeDoubleOnly)	Creates a new group element in P3 representation, potentially with pre-computation.
static GroupElement	GroupElement.precomp(Curve curve, FieldElement ypx, FieldElement ymx, FieldElement xy2d)	Creates a new group element in PRECOMP representation.
GroupElement	GroupElement.scalarMultiply(byte[] a)	$h = a * B$ where $a = a[0]+256*a[1]+\dots+256^{31} a[31]$ and $B$ is this point.
(package private) GroupElement	GroupElement.select(int pos, int b)	Look up $16^i r_i B$ in the precomputed table.
GroupElement	GroupElement.sub(GroupElement q)	GroupElement subtraction using the twisted Edwards addition law with extended coordinates (Hisil2008).
GroupElement	GroupElement.toCached()	Converts the group element to the CACHED representation.
GroupElement	GroupElement.toP2()	Converts the group element to the P2 representation.
GroupElement	GroupElement.toP3()	Converts the group element to the P3 representation.
GroupElement	GroupElement.toP3PrecomputeDouble()	Converts the group element to the P3 representation, with dblPrecmp populated.

Methods in net.i2p.crypto.eddsa.math with parameters of type GroupElement

Modifier and Type	Method	Description
GroupElement	GroupElement.add(GroupElement q)	GroupElement addition using the twisted Edwards addition law with extended coordinates (Hisil2008).
(package private) GroupElement	GroupElement.cmov(GroupElement u, int b)	Constant-time conditional move.
GroupElement	GroupElement.doubleScalarMultiplyVariableTime(GroupElement A, byte[] a, byte[] b)	$r = a * A + b * B$ where $a = a[0]+256*a[1]+\dots+256^{31} a[31]$, $b = b[0]+256*b[1]+\dots+256^{31} b[31]$ and $B$ is this point.
GroupElement	GroupElement.sub(GroupElement q)	GroupElement subtraction using the twisted Edwards addition law with extended coordinates (Hisil2008).

Uses of GroupElement in net.i2p.crypto.eddsa.spec

Methods in net.i2p.crypto.eddsa.spec that return GroupElement

Modifier and Type	Method	Description
GroupElement	EdDSAPrivateKeySpec.getA()
GroupElement	EdDSAPublicKeySpec.getA()
GroupElement	EdDSAParameterSpec.getB()
GroupElement	EdDSAPublicKeySpec.getNegativeA()

Constructors in net.i2p.crypto.eddsa.spec with parameters of type GroupElement

Modifier	Constructor	Description
	EdDSANamedCurveSpec(String name, Curve curve, String hashAlgo, ScalarOps sc, GroupElement B)
	EdDSAParameterSpec(Curve curve, String hashAlgo, ScalarOps sc, GroupElement B)
	EdDSAPrivateKeySpec(byte[] seed, byte[] h, byte[] a, GroupElement A, EdDSAParameterSpec spec)	No validation of any parameters other than a.
	EdDSAPrivateKeySpec(byte[] a, GroupElement A, EdDSAParameterSpec spec)	No validation of any parameters other than a.
	EdDSAPublicKeySpec(GroupElement A, EdDSAParameterSpec spec)