Uses of Class
iaik.security.ecc.math.field.FieldElement

Packages that use FieldElement

iaik.security.ecc.math.algorithms
iaik.security.ecc.math.ecgroup
iaik.security.ecc.math.field
iaik.security.ecc.spec
iaik.security.ecc.util

Uses of FieldElement in iaik.security.ecc.math.algorithms

Methods in iaik.security.ecc.math.algorithms that return FieldElement

static FieldElement	SquareRoot.calcSQRT(FieldElement g) performs the squre root calculation
static FieldElement	Power.calcPow(FieldElement g, int e) A simple square and multiply implementation.

Methods in iaik.security.ecc.math.algorithms with parameters of type FieldElement

static FieldElement	SquareRoot.calcSQRT(FieldElement g) performs the squre root calculation
static FieldElement	Power.calcPow(FieldElement g, int e) A simple square and multiply implementation.

Uses of FieldElement in iaik.security.ecc.math.ecgroup

Fields in iaik.security.ecc.math.ecgroup declared as FieldElement

protected FieldElement	Coordinate.x_ the x coordinate
protected FieldElement	Coordinate.y_ the y coordinate

Methods in iaik.security.ecc.math.ecgroup that return FieldElement

FieldElement	EllipticCurve.getA()
FieldElement	EllipticCurve.getB()
FieldElement	Coordinate.getX()
FieldElement	Coordinate.getY()

Methods in iaik.security.ecc.math.ecgroup with parameters of type FieldElement

abstract EllipticCurve	ECGroupFactory.getCurve(FieldElement a, FieldElement b, java.math.BigInteger curveOrder, int coordinateType) ATTENTION: Make sure that the curve parameter specify a valid elliptic curve and are elements of the same field.
abstract EllipticCurve	ECGroupFactory.getDefault(FieldElement a, FieldElement b, java.math.BigInteger curveOrder) Gets the default implementation, defined by the default coordinate typ and the provided field element typ.
protected void	Coordinate.setX(FieldElement x)
protected void	Coordinate.setY(FieldElement y)

Constructors in iaik.security.ecc.math.ecgroup with parameters of type FieldElement

Coordinate(FieldElement x, FieldElement y, int type)
Used by subclasses.

AffineCoordinate(FieldElement x, FieldElement y)
Creates a new affine coordinate.

Uses of FieldElement in iaik.security.ecc.math.field

Methods in iaik.security.ecc.math.field that return FieldElement

FieldElement	PrimeField.newElement(java.math.BigInteger v) Creates a new element over this field.
static FieldElement	FieldElement.add(FieldElement a, FieldElement b) Use this static method if you want to create a new FieldElement with the value of a + b.
static FieldElement	FieldElement.divide(FieldElement a, FieldElement b) Use this static method if you want to create a new FieldElement with the value of a * invert(b).
static FieldElement	FieldElement.invert(FieldElement a) Use this static method if you want to create a new FieldElement with the value of multiplicatice inverse of a.
static FieldElement[]	FieldElement.invertSimultaneous(FieldElement[] a) Use this static method if you want to simultaneously invert an array of FieldElements.
static FieldElement	FieldElement.multiply(FieldElement a, FieldElement b) Use this static method if you want to create a new FieldElement with the value of a * b.
static FieldElement	FieldElement.negate(FieldElement a) Use this static method if you want to create a new FieldElement with the negative value of a.
static FieldElement	FieldElement.square(FieldElement a) Use this static method if you want to create a new FieldElement with the value of a squared.
static FieldElement	FieldElement.sub(FieldElement a, FieldElement b) Use this static method if you want to create a new FieldElement with the value of a - b.
FieldElement	FieldElement.add(FieldElement b) Calculates: this += b Calls the corresponding field method.
FieldElement	FieldElement.divide(FieldElement b) Calculates: this *= invert(b) Calls the corresponding field method.
FieldElement	FieldElement.half() Halfs ONLY a prime field element, binary fields are not supported.
FieldElement	FieldElement.invert() Inverts (multiplicative) the element.
FieldElement	FieldElement.multiply(FieldElement b) Calculates: this *= b Calls the corresponding field method.
FieldElement	FieldElement.negate() Negates the element (additive inverse).
FieldElement	FieldElement.square() Calculates: this squared Calls the corresponding field method.
FieldElement	FieldElement.sub(FieldElement b) Calculates: this -= b Negates b and adds it to a.
FieldElement	Field.getONEelement() Get the ONE (multiplicative neutral) element of this field.
FieldElement	Field.getZEROelement() Get the ZERO (additive neutral) element of this field.
FieldElement	Field.newElement(byte[] b) Creates a new field element performing the octet string to field element conversation primitive as described in P1363 and X9.62
FieldElement	BinaryField.newElement(int[] v) Creates a new element over this field.

Methods in iaik.security.ecc.math.field with parameters of type FieldElement

void	PrimeField.half(FieldElement a) Calculates the half of a prime field value.
static FieldElement	FieldElement.add(FieldElement a, FieldElement b) Use this static method if you want to create a new FieldElement with the value of a + b.
static FieldElement	FieldElement.divide(FieldElement a, FieldElement b) Use this static method if you want to create a new FieldElement with the value of a * invert(b).
static FieldElement	FieldElement.invert(FieldElement a) Use this static method if you want to create a new FieldElement with the value of multiplicatice inverse of a.
static FieldElement[]	FieldElement.invertSimultaneous(FieldElement[] a) Use this static method if you want to simultaneously invert an array of FieldElements.
static FieldElement	FieldElement.multiply(FieldElement a, FieldElement b) Use this static method if you want to create a new FieldElement with the value of a * b.
static FieldElement	FieldElement.negate(FieldElement a) Use this static method if you want to create a new FieldElement with the negative value of a.
static FieldElement	FieldElement.square(FieldElement a) Use this static method if you want to create a new FieldElement with the value of a squared.
static FieldElement	FieldElement.sub(FieldElement a, FieldElement b) Use this static method if you want to create a new FieldElement with the value of a - b.
FieldElement	FieldElement.add(FieldElement b) Calculates: this += b Calls the corresponding field method.
FieldElement	FieldElement.divide(FieldElement b) Calculates: this *= invert(b) Calls the corresponding field method.
FieldElement	FieldElement.multiply(FieldElement b) Calculates: this *= b Calls the corresponding field method.
FieldElement	FieldElement.sub(FieldElement b) Calculates: this -= b Negates b and adds it to a.
void	Field.add(FieldElement a, FieldElement b) Computes a += b ATTENTION: you mustn't provide elements of different fields.
void	Field.invert(FieldElement a) Calculates the multiplicative inverse.
void	Field.multiply(FieldElement a, FieldElement b) Computes a *= b; ATTENTION: you mustn't provide elements of different fields.
void	Field.negate(FieldElement a) Negates a field element (additive inverse operation).
void	Field.square(FieldElement a) Squares the specified field element.

Uses of FieldElement in iaik.security.ecc.spec

Fields in iaik.security.ecc.spec declared as FieldElement

protected FieldElement	ECCParameterSpec.a_ The elliptic curve parameter a.
protected FieldElement	ECCParameterSpec.b_ The coefficient b (satisfying b^2 * c congruent -27 mod p).
protected FieldElement	ECCParameterSpec.gx_ The base point x coordinate Gx
protected FieldElement	ECCParameterSpec.gy_ The base point y coordinate Gy
protected FieldElement	ECCParameterSpec.p_ The prime modulus p or the irreducible polynomial, defining the field.

Methods in iaik.security.ecc.spec that return FieldElement

FieldElement	ECCParameterSpec.getA()
FieldElement	ECCParameterSpec.getB()
FieldElement	ECCParameterSpec.getGx()
FieldElement	ECCParameterSpec.getGy()
FieldElement	ECCParameterSpec.getP()

Uses of FieldElement in iaik.security.ecc.util

Methods in iaik.security.ecc.util with parameters of type FieldElement

byte[]	PointCompressor.compress(FieldElement xCoordinate, FieldElement yCoordinate) Point compression according to ANSI X9.62
AffineCoordinate	PointCompressor.decompress(FieldElement xCoordinate, int yBit, EllipticCurve curve) Point decompression for elliptic curves according to ANSI X9.62