iaik.security.ec.math.field

Class ExtensionFieldFactory

java.lang.Object

iaik.security.ec.math.field.ExtensionFieldFactory

public final class ExtensionFieldFactory
extends Object

This class serves as factory to construct extension fields of arbitrary degrees. It falls back to the specialized extension field factories depending on the extension degree.

Author:

Sebastian Ramacher

See Also:

QuadraticExtensionFieldByPrimeFactory, SexticOverQuadraticTowerExtensionFieldFactory

Method Summary

Modifier and Type	Method and Description
static ExtensionField	getField(AbstractPrimeField field, int extensionDegree) Construct an extension field of the desired extension degree over a given prime field.
static ExtensionField	getField(ExtensionField field, ExtensionFieldElement nonResidue, int extensionDegree) Construct an extension field of the desired extension degree over a given extension field.
static ExtensionField	getField(ExtensionField field, int extensionDegree) Construct an extension field of the desired extension degree over a given extension field.

Methods inherited from class java.lang.Object

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

Method Detail

getField

public static ExtensionField getField(AbstractPrimeField field,
                                      int extensionDegree)

Construct an extension field of the desired extension degree over a given prime field.

Parameters:

field - the underlying prime field

extensionDegree - the desired extension degree

Returns:

a extension field over field with total extension degree extensionDegree

getField

public static ExtensionField getField(ExtensionField field,
                                      int extensionDegree)

Construct an extension field of the desired extension degree over a given extension field.

Parameters:

field - the underlying field

extensionDegree - the desired extension degree

Returns:

a extension field over field with extension degree extensionDegree

getField

public static ExtensionField getField(ExtensionField field,
                                      ExtensionFieldElement nonResidue,
                                      int extensionDegree)

Construct an extension field of the desired extension degree over a given extension field.

Parameters:

field - the underlying field

nonResidue - the desired non-residue

extensionDegree - the desired extension degree

Returns:

a extension field over field with extension degree extensionDegree