iaik.security.ecc.math.field
Interface BinaryField

All Superinterfaces:

Field

public interface BinaryField

extends Field

Adds some binary field specific constants and methods to the field interface. This interface assumes polynomial base representation of the finite field elements. At the moment there is no interface for GNB representations.

Field Summary

static int	BINARY_FIELD_ID Id of a binary field
static java.lang.String	BINARY_FIELD_OID Objcet Identifier for a binary field for ASN.1 encoding.
static java.lang.String	CHARACTERISTIC_TWO_gnBASIS Object Identifiers for the gaussian normal basis
static java.lang.String	CHARACTERISTIC_TWO_ppBASIS Object Identifiers for the pentamonial basis
static java.lang.String	CHARACTERISTIC_TWO_tpBASIS Object Identifiers for the trinomial basis

Method Summary

int[]	getIrreduciblePolynomial() In polynomial base representation the field elements are represented modulo a irreducible polynom.
int	getOrder()
FieldElement	newElement(int[] v) Creates a new element over this field.

Methods inherited from interface iaik.security.ecc.math.field.Field

add, getFieldFactory, getFieldId, getONEelement, getSize, getZEROelement, invert, multiply, negate, newElement, square, toASN1Object

Field Detail

BINARY_FIELD_ID

public static final int BINARY_FIELD_ID

Id of a binary field

See Also:

Field.getFieldId(), Constant Field Values

BINARY_FIELD_OID

public static final java.lang.String BINARY_FIELD_OID

Objcet Identifier for a binary field for ASN.1 encoding.

See Also:

Constant Field Values

CHARACTERISTIC_TWO_gnBASIS

public static final java.lang.String CHARACTERISTIC_TWO_gnBASIS

Object Identifiers for the gaussian normal basis

See Also:

Constant Field Values

CHARACTERISTIC_TWO_ppBASIS

public static final java.lang.String CHARACTERISTIC_TWO_ppBASIS

Object Identifiers for the pentamonial basis

See Also:

Constant Field Values

CHARACTERISTIC_TWO_tpBASIS

public static final java.lang.String CHARACTERISTIC_TWO_tpBASIS

Object Identifiers for the trinomial basis

See Also:

Constant Field Values

Method Detail

getIrreduciblePolynomial

public int[] getIrreduciblePolynomial()

In polynomial base representation the field elements are represented modulo a irreducible polynom.

Returns:

the irreducible polynom definint this field.

getOrder

public int getOrder()

Returns:

the order of the underlying field polynomial (for prime fields 0).

newElement

public FieldElement newElement(int[] v)

Creates a new element over this field. ATTENTION: you must provide the correct parameter type, otherwise you will get garbage.

Parameters:

v - the value of the element to be created

Returns:

a new element of this field with the specified value.