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org.bouncycastle.math.ec

public abstract Class ECCurve

extends Object
Class Inheritance
Known Direct Subclasses
org.bouncycastle.math.ec.ECCurve.AbstractFp, org.bouncycastle.math.ec.ECCurve.AbstractF2m
Imports
java.math.BigInteger, java.security.SecureRandom, java.util.HashMap, .Map, .Random, org.bouncycastle.crypto.fips.FipsAlgorithm, .FipsStatus, org.bouncycastle.math.ec.endo.ECEndomorphism, .GLVEndomorphism, org.bouncycastle.math.field.FiniteField, .FiniteFields, org.bouncycastle.math.internal.Nat, org.bouncycastle.util.BigIntegers, .Integers, .Properties
base class for an elliptic curve

Nested and Inner Type Summary

Modifier and TypeClass and Description
public abstract static class
ECCurve.AbstractF2m

public abstract static class
ECCurve.AbstractFp

public class
ECCurve.Config

public static class
ECCurve.F2m

Elliptic curves over F2m.

public static class
ECCurve.Fp

Elliptic curve over Fp

Field Summary

Modifier and TypeField and Description
protected ECFieldElement
a

protected ECFieldElement
b

protected BigInteger
cofactor

protected int
coord

public static final int
COORD_AFFINE

public static final int
COORD_HOMOGENEOUS

public static final int
COORD_JACOBIAN

public static final int
COORD_JACOBIAN_CHUDNOVSKY

public static final int
COORD_JACOBIAN_MODIFIED

public static final int
COORD_LAMBDA_AFFINE

public static final int
COORD_LAMBDA_PROJECTIVE

public static final int
COORD_SKEWED

protected ECEndomorphism
endomorphism

protected FiniteField
field

protected ECMultiplier
multiplier

protected BigInteger
order

Constructor Summary

AccessConstructor and Description
protected
ECCurve(FiniteField field)

Method Summary

Modifier and TypeMethod and Description
protected void
checkPoint(ECPoint point)

protected void
checkPoints(ECPoint[] points)

protected void
checkPoints(ECPoint[] points, int off, int len)

protected abstract ECCurve
cloneCurve()

public synchronized ECCurve.Config
configure()

public ECLookupTable
createCacheSafeLookupTable(final ECPoint[] points, int off, final int len)

Create a cache-safe lookup table for the specified sequence of points.

protected ECMultiplier
createDefaultMultiplier()

public ECPoint
createPoint(BigInteger x, BigInteger y)

protected abstract ECPoint
createRawPoint(ECFieldElement x, ECFieldElement y)

protected abstract ECPoint
createRawPoint(ECFieldElement x, ECFieldElement y, ECFieldElement[] zs)

public ECPoint

Returns:

The decoded point.
decodePoint(byte[] encoded)

Decode a point on this curve from its ASN.1 encoding.

protected abstract ECPoint
decompressPoint(int yTilde, BigInteger X1)

public boolean
equals(ECCurve other)

public boolean
equals(Object
the reference object with which to compare.
obj)

Overrides java.lang.Object.equals.

Indicates whether some other object is "equal to" this one.
public abstract ECFieldElement
fromBigInteger(BigInteger x)

public ECFieldElement
getA()

public static int[]
getAllCoordinateSystems()

public ECFieldElement
getB()

public BigInteger
getCofactor()

public int
getCoordinateSystem()

public ECEndomorphism
getEndomorphism()

public FiniteField
getField()

public abstract int
getFieldSize()

public abstract ECPoint
getInfinity()

public synchronized ECMultiplier
getMultiplier()

Sets the default ECMultiplier, unless already set.

public BigInteger
getOrder()

public PreCompInfo
getPreCompInfo(ECPoint point, String name)

public int
hashCode()

Overrides java.lang.Object.hashCode.

Returns a hash code value for this object.
public ECPoint
importPoint(ECPoint p)

public abstract boolean
isValidFieldElement(BigInteger x)

public void
normalizeAll(ECPoint[]
An array of points that will be updated in place with their normalized versions, where necessary
points)

Normalization ensures that any projective coordinate is 1, and therefore that the x, y coordinates reflect those of the equivalent point in an affine coordinate system.

public void
normalizeAll(ECPoint[]
An array of points that will be updated in place with their normalized versions, where necessary
points, int
The start of the range of points to normalize
off, int
The length of the range of points to normalize
len, ECFieldElement
The (optional) z-scaling factor - can be null
iso)

Normalization ensures that any projective coordinate is 1, and therefore that the x, y coordinates reflect those of the equivalent point in an affine coordinate system.

public PreCompInfo
precompute(ECPoint
The ECPoint to store precomputations for.
point, String
A String used to index precomputations of different types.
name, PreCompCallback
Called to calculate the PreCompInfo.
callback)

Compute a PreCompInfo for a point on this curve, under a given name.

public abstract ECFieldElement
randomFieldElementMult(SecureRandom r)

public boolean
supportsCoordinateSystem(int coord)

public ECPoint
validatePoint(BigInteger x, BigInteger y)

Inherited from java.lang.Object:
clonefinalizegetClassnotifynotifyAlltoStringwaitwaitwait