de.flexiprovider.common.math.ellipticcurves
Class EllipticCurveGFP

java.lang.Object
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  +--de.flexiprovider.common.math.ellipticcurves.EllipticCurve
        |
        +--de.flexiprovider.common.math.ellipticcurves.EllipticCurveGFP

public class EllipticCurveGFP

extends EllipticCurve

This class holds elliptic curves over prime fields GF (p). The equation for such a curve is:

E: y² = x³ + ax + b.

a and b are stored in FlexiBigInt instances mA and mB, respectively.

Author:

Birgit Henhapl

See Also:

EllipticCurve

Fields inherited from class de.flexiprovider.common.math.ellipticcurves.EllipticCurve

mA, mB, mQ

Constructor Summary

EllipticCurveGFP(GFPElement a, GFPElement b, FlexiBigInt p)
Constructs an elliptic curve E with the specified parameters a and b in short Weierstrass normal form in projective representation over the prime field with the specified characteristic.

Method Summary

java.lang.String

toString()

Methods inherited from class de.flexiprovider.common.math.ellipticcurves.EllipticCurve

equals, getA, getB, getQ, hashCode

Methods inherited from class java.lang.Object

, clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Constructor Detail

EllipticCurveGFP

public EllipticCurveGFP(GFPElement a,
                        GFPElement b,
                        FlexiBigInt p)

Constructs an elliptic curve E with the specified parameters a and b in short Weierstrass normal form in projective representation over the prime field with the specified characteristic.

Parameters:

a - curve parameter a

b - curve parameter b

p - characteristic of the underlying prime field

See Also:

GFPElement

Method Detail

toString

public final java.lang.String toString()

Overrides:

toString in class EllipticCurve

Returns:

a human readable form of this elliptic curve