Uses of Interface iaik.security.ec.math.field.PrimeCharacteristicFieldElement (ECCelerate 6.2 API)

Packages that use PrimeCharacteristicFieldElement
Package Description

iaik.security.ec.math.field

Packages that use PrimeCharacteristicFieldElement
Package	Description
iaik.security.ec.math.field

Uses of PrimeCharacteristicFieldElement in iaik.security.ec.math.field

Subinterfaces of PrimeCharacteristicFieldElement in iaik.security.ec.math.field
Modifier and Type	Interface and Description
`interface`	`ExtensionFieldElement` This interface describes the methods every field element of an extension field has to provide.

Classes in iaik.security.ec.math.field that implement PrimeCharacteristicFieldElement
Modifier and Type	Class and Description
`class`	`PrimeFieldElement` This class represents a mutable prime field element.
`class`	`QuadraticExtensionFieldElement` This class represents elements of quadratic extension fields.
`class`	`SexticExtensionFieldElement` This class stores field elements of sextic extensions over some other field.

Methods in iaik.security.ec.math.field that return PrimeCharacteristicFieldElement
Modifier and Type	Method and Description
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`add(GenericFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`add(GenericFieldElement a, GenericFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`addBase(GenericFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`addOutOfPlace(GenericFieldElement b)` Adds two elements and returns a new object holding the result.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`addOutOfPlace(PrimeCharacteristicFieldElement b)` Adds two elements and returns a new object holding the result.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`addOutOfPlace(PrimeCharacteristicFieldElement a, PrimeCharacteristicFieldElement b)` Adds two elements and returns a new object holding the result.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`clone()`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`divide(GenericFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`divide(GenericFieldElement a, GenericFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`divideBy2()` Divides `this` by 2.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`divideBy2(PrimeCharacteristicFieldElement a)` Divides `a` by 2.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`exponentiate(BigInteger n)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`exponentiate(GenericFieldElement a, BigInteger n)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`exponentiate(int n)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`exponentiateByPowerOf2(GenericFieldElement a, int n)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`exponentiateByPowerOf2(int n)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`getOne()`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`getUniformlyRandomElement()` Get a uniformly random prime field element.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`getUniformlyRandomNonZeroElement()` Get a uniformly random, non-zero prime field element.
`PrimeCharacteristicFieldElement`	ExtensionFieldElement.`getValue(int index)` Get `index`-th subfield element used to represent `this`.
`PrimeCharacteristicFieldElement`	SexticExtensionFieldElement.`getValue(int index)`
`PrimeCharacteristicFieldElement`	QuadraticExtensionFieldElement.`getValue(int index)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`getZero()`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`invert()`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`invert(GenericFieldElement a)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`multiply(BigInteger b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`multiply(GenericFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`multiply(GenericFieldElement a, BigInteger n)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`multiply(GenericFieldElement a, GenericFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`multiplyBy2()` Multiplies `this` with 2.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`multiplyBy2(PrimeCharacteristicFieldElement a)` Multiplies `a` by `2`, which is a left-shift.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`multiplyBy2OutOfPlace()` Multiplies `this` with 2 and returns a new object holding the result.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`multiplyBy2OutOfPlace(PrimeCharacteristicFieldElement a)` Multiplies `a` by `2`, which is a left-shift and returns a new object holding the result.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`multiplyBy3()` Multiplies `this` with 3.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`multiplyBy3(PrimeCharacteristicFieldElement a)` Multiplies `a` by `3`, which is a left-shift plus an addition.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`multiplyBy3OutOfPlace()` Multiplies `this` with 3 and returns a new object holding the result.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`multiplyBy3OutOfPlace(PrimeCharacteristicFieldElement a)` Multiplies `a` by `3`, which is a left-shift plus an addition and returns a new object holding the result.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`multiplyByBase(GenericFieldElement b)`
`PrimeCharacteristicFieldElement`	SexticExtensionFieldElement.`multiplyByBaseOutOfPlace(GenericFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`multiplyByBaseOutOfPlace(GenericFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`multiplyByPowerOf2(int n)` Multiplies `this` by 2^`n`.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`multiplyByPowerOf2(PrimeCharacteristicFieldElement a, int exponent)` Multiplies `a` by a power of `2`, which is a left-shift.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`multiplyByPowerOf2OutOfPlace(int n)` Multiplies `this` by 2^`n` and returns a new object holding the result.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`multiplyByPowerOf2OutOfPlace(PrimeCharacteristicFieldElement a, int exponent)` Multiplies `a` by a power of `2`, which is a left-shift and returns a new object holding the result.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`multiplyOutOfPlace(BigInteger b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`multiplyOutOfPlace(GenericFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`negate()`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`negate(GenericFieldElement a)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`negateOutOfPlace()`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`newElement(byte[] bytes)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`square()`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`square(GenericFieldElement a)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`squareOutOfPlace()`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`squareRoot()`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`squareRoot(boolean checkSquare)` Computes the square root of `this`.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`subtract(GenericFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`subtract(GenericFieldElement a, GenericFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`subtractOutOfPlace(GenericFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`subtractOutOfPlace(GenericFieldElement a, GenericFieldElement b)` Subtracts `b` from `this` and returns a new object holding the result.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`subtractOutOfPlace(PrimeCharacteristicFieldElement b)` Subtracts `b` from `this` and returns a new object holding the result.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`toElement(byte[] bytes)`

Methods in iaik.security.ec.math.field with parameters of type PrimeCharacteristicFieldElement
Modifier and Type	Method and Description
`SexticExtensionFieldElement`	SexticExtensionFieldElement.`addOutOfPlace(PrimeCharacteristicFieldElement b)`
`PrimeFieldElement`	PrimeFieldElement.`addOutOfPlace(PrimeCharacteristicFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`addOutOfPlace(PrimeCharacteristicFieldElement b)` Adds two elements and returns a new object holding the result.
`QuadraticExtensionFieldElement`	QuadraticExtensionFieldElement.`addOutOfPlace(PrimeCharacteristicFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`addOutOfPlace(PrimeCharacteristicFieldElement a, PrimeCharacteristicFieldElement b)` Adds two elements and returns a new object holding the result.
`SexticExtensionFieldElement`	SexticOverQuadraticTowerExtensionField.`addOutOfPlace(PrimeCharacteristicFieldElement a, PrimeCharacteristicFieldElement b)`
`PrimeFieldElement`	AbstractPrimeField.`addOutOfPlace(PrimeCharacteristicFieldElement a, PrimeCharacteristicFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`divideBy2(PrimeCharacteristicFieldElement a)` Divides `a` by 2.
`SexticExtensionFieldElement`	SexticOverQuadraticTowerExtensionField.`divideBy2(PrimeCharacteristicFieldElement a)`
`ExtensionFieldElement`	ExtensionField.`divideBy2(PrimeCharacteristicFieldElement a)`
`PrimeFieldElement`	AbstractPrimeField.`divideBy2(PrimeCharacteristicFieldElement a)`
`int`	PrimeCharacteristicField.`getQuadraticCharacter(PrimeCharacteristicFieldElement a)` Implements a quadratic character, which returns -1,0,1 depending on whether the given value `a`is a quadratic non-residue, a multiple of the modulus, or a quadratic residue.
`int`	SexticOverQuadraticTowerExtensionField.`getQuadraticCharacter(PrimeCharacteristicFieldElement a)` Not implemented; will throw an `UnsupportedOperationException`.
`int`	QuadraticExtensionField.`getQuadraticCharacter(PrimeCharacteristicFieldElement e)` Implements the Legendre-Kronecker-Jacobi symbol according to [2, Algorithm 11.69], which returns -1,0,1 depending on whether the given value `a`is a quadratic non-residue, a multiple of the modulus, or a quadratic residue.
`int`	AbstractPrimeField.`getQuadraticCharacter(PrimeCharacteristicFieldElement a)` Implements a quadratic character, which returns -1,0,1 depending on whether the given value `a`is a quadratic non-residue modulo the prime `p`, a multiple of `p`, or a quadratic residue.
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`multiplyBy2(PrimeCharacteristicFieldElement a)` Multiplies `a` by `2`, which is a left-shift.
`SexticExtensionFieldElement`	SexticOverQuadraticTowerExtensionField.`multiplyBy2(PrimeCharacteristicFieldElement a)`
`QuadraticExtensionFieldElement`	QuadraticExtensionField.`multiplyBy2(PrimeCharacteristicFieldElement a)`
`PrimeFieldElement`	AbstractPrimeField.`multiplyBy2(PrimeCharacteristicFieldElement a)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`multiplyBy2OutOfPlace(PrimeCharacteristicFieldElement a)` Multiplies `a` by `2`, which is a left-shift and returns a new object holding the result.
`SexticExtensionFieldElement`	SexticOverQuadraticTowerExtensionField.`multiplyBy2OutOfPlace(PrimeCharacteristicFieldElement a)`
`QuadraticExtensionFieldElement`	QuadraticExtensionField.`multiplyBy2OutOfPlace(PrimeCharacteristicFieldElement a)`
`PrimeFieldElement`	AbstractPrimeField.`multiplyBy2OutOfPlace(PrimeCharacteristicFieldElement a)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`multiplyBy3(PrimeCharacteristicFieldElement a)` Multiplies `a` by `3`, which is a left-shift plus an addition.
`SexticExtensionFieldElement`	SexticOverQuadraticTowerExtensionField.`multiplyBy3(PrimeCharacteristicFieldElement a)`
`QuadraticExtensionFieldElement`	QuadraticExtensionField.`multiplyBy3(PrimeCharacteristicFieldElement a)`
`PrimeFieldElement`	AbstractPrimeField.`multiplyBy3(PrimeCharacteristicFieldElement a)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`multiplyBy3OutOfPlace(PrimeCharacteristicFieldElement a)` Multiplies `a` by `3`, which is a left-shift plus an addition and returns a new object holding the result.
`SexticExtensionFieldElement`	SexticOverQuadraticTowerExtensionField.`multiplyBy3OutOfPlace(PrimeCharacteristicFieldElement a)`
`QuadraticExtensionFieldElement`	QuadraticExtensionField.`multiplyBy3OutOfPlace(PrimeCharacteristicFieldElement a)`
`PrimeFieldElement`	AbstractPrimeField.`multiplyBy3OutOfPlace(PrimeCharacteristicFieldElement a)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`multiplyByPowerOf2(PrimeCharacteristicFieldElement a, int exponent)` Multiplies `a` by a power of `2`, which is a left-shift.
`SexticExtensionFieldElement`	SexticOverQuadraticTowerExtensionField.`multiplyByPowerOf2(PrimeCharacteristicFieldElement a, int exponent)`
`QuadraticExtensionFieldElement`	QuadraticExtensionField.`multiplyByPowerOf2(PrimeCharacteristicFieldElement a, int exponent)`
`PrimeFieldElement`	AbstractPrimeField.`multiplyByPowerOf2(PrimeCharacteristicFieldElement a, int exponent)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicField.`multiplyByPowerOf2OutOfPlace(PrimeCharacteristicFieldElement a, int exponent)` Multiplies `a` by a power of `2`, which is a left-shift and returns a new object holding the result.
`SexticExtensionFieldElement`	SexticOverQuadraticTowerExtensionField.`multiplyByPowerOf2OutOfPlace(PrimeCharacteristicFieldElement a, int exponent)`
`QuadraticExtensionFieldElement`	QuadraticExtensionField.`multiplyByPowerOf2OutOfPlace(PrimeCharacteristicFieldElement a, int exponent)`
`PrimeFieldElement`	AbstractPrimeField.`multiplyByPowerOf2OutOfPlace(PrimeCharacteristicFieldElement a, int exponent)`
`SexticExtensionFieldElement`	SexticExtensionFieldElement.`multiplyDenseSparse023(PrimeCharacteristicFieldElement v0, PrimeCharacteristicFieldElement v2, PrimeCharacteristicFieldElement v3)` Multiply `this` with a sparsely populated element v0 + v2 * i^2 + v3 * i^3.
`SexticExtensionFieldElement`	SexticOverQuadraticTowerExtensionField.`multiplyDenseSparse023(SexticExtensionFieldElement a, PrimeCharacteristicFieldElement b_0, PrimeCharacteristicFieldElement b_2, PrimeCharacteristicFieldElement b_3)` Multiply an element with a sparsely populated element v0 + v2 * i^2 + v3 * i^3.
`SexticExtensionFieldElement`	SexticExtensionFieldElement.`multiplyDenseSparse034(PrimeCharacteristicFieldElement v0, PrimeCharacteristicFieldElement v3, PrimeCharacteristicFieldElement v4)` Multiply `this` with a sparsely populated element v0 + v3 * i^3 + v4 * i^4.
`SexticExtensionFieldElement`	SexticOverQuadraticTowerExtensionField.`multiplyDenseSparse034(SexticExtensionFieldElement a, PrimeCharacteristicFieldElement v0, PrimeCharacteristicFieldElement v3, PrimeCharacteristicFieldElement v4)` Multiply an element with a sparsely populated element v0 + v3 * i^3 + v4 * i^4.
`SexticExtensionFieldElement`	SexticExtensionFieldElement.`multiplySparse023(PrimeCharacteristicFieldElement v0, PrimeCharacteristicFieldElement v2, PrimeCharacteristicFieldElement v3)` Multiply sparsely populated `this` with a sparsely populated element v0 + v2 * i^2 + v3 * i^3.
`SexticExtensionFieldElement`	SexticOverQuadraticTowerExtensionField.`multiplySparse023(SexticExtensionFieldElement a, PrimeCharacteristicFieldElement b_0, PrimeCharacteristicFieldElement b_2, PrimeCharacteristicFieldElement b_3)` Multiply a sparsely populated element element with a sparsely populated element v0 + v2 * i^2 + v3 * i^3.
`SexticExtensionFieldElement`	SexticExtensionFieldElement.`multiplySparse034(PrimeCharacteristicFieldElement v0, PrimeCharacteristicFieldElement v3, PrimeCharacteristicFieldElement v4)` Multiply a sparsely populated `this` with a sparsely populated element v0 + v3 * i^3 + v4 * i^4.
`SexticExtensionFieldElement`	SexticOverQuadraticTowerExtensionField.`multiplySparse034(SexticExtensionFieldElement a, PrimeCharacteristicFieldElement v0, PrimeCharacteristicFieldElement v3, PrimeCharacteristicFieldElement v4)` Multiply a sparsely populated element element with a sparsely populated element v0 + v3 * i^3 + v4 * i^4.
`SexticExtensionFieldElement`	SexticOverQuadraticTowerExtensionField.`newElement(PrimeCharacteristicFieldElement a, PrimeCharacteristicFieldElement b, PrimeCharacteristicFieldElement c, PrimeCharacteristicFieldElement d, PrimeCharacteristicFieldElement e, PrimeCharacteristicFieldElement f)` Creates a new field element from the six coefficients of the quadratic subfield.
`SexticExtensionFieldElement`	SexticOverQuadraticTowerExtensionField.`newElementFromSubField(PrimeCharacteristicFieldElement a)`
`QuadraticExtensionFieldElement`	QuadraticExtensionField.`newElementFromSubField(PrimeCharacteristicFieldElement a)`
`ExtensionFieldElement`	ExtensionField.`newElementFromSubField(PrimeCharacteristicFieldElement a)` Converts a field element of the sub field into an element of `this`.
`SexticExtensionFieldElement`	SexticExtensionFieldElement.`subtractOutOfPlace(PrimeCharacteristicFieldElement b)`
`PrimeFieldElement`	PrimeFieldElement.`subtractOutOfPlace(PrimeCharacteristicFieldElement b)`
`PrimeCharacteristicFieldElement`	PrimeCharacteristicFieldElement.`subtractOutOfPlace(PrimeCharacteristicFieldElement b)` Subtracts `b` from `this` and returns a new object holding the result.
`QuadraticExtensionFieldElement`	QuadraticExtensionFieldElement.`subtractOutOfPlace(PrimeCharacteristicFieldElement b)`

Uses of Interfaceiaik.security.ec.math.field.PrimeCharacteristicFieldElement

Uses of PrimeCharacteristicFieldElement in iaik.security.ec.math.field

Uses of Interface
iaik.security.ec.math.field.PrimeCharacteristicFieldElement