org.openeuler.util

类 GMUtil

java.lang.Object

org.openeuler.util.GMUtil

public class GMUtil
extends Object

字段概要

字段

限定符和类型	字段和说明
private static EllipticCurve	SM2_CURVE
private static Set<String>	SM2_CURVE_NAMES

构造器概要

构造器

构造器和说明
GMUtil()

方法概要

限定符和类型	方法和说明
static ECPoint	add(ECPoint p1, ECPoint p2)
(专用程序包) static SM2P256V1Point	add(SM2P256V1Point p1, SM2P256V1Point p2) U2 = lambda2 S2 = lambda5 U1 = lambda1 S1 = lambda4 H = U1 - U2 = lambda1 - lambda2 = lambda3 R = S1 - S2 = lambda4 - lambda5 = lambda6 G = H^3 = (lambda3)^3 V = H^2 * U1 = (lambda3)^2 * lambda1 G = -H^3 = -(lambda3)^3 tt1 = S1 * G = lambda4 * (- (lambda3)^3) G = 2*V + G = 2 * (lambda3^2 * lambda1) + (-(lambda3)^3 ) = lambda3^2 (2 * lambda1 - lambda3) = lambda3^2 ( 2 * lambda1 - (lambda1 - lambda2)) = lambda3^2 * (lambda1 + lambda2 ) = lambda3^2 * lambda7 X3 = R^2 - G = lambda6^2 - lambda7 *(lambda3)^2 Y3 = (V - X3) * R + tt1 = (lambda1 * (lambda3)^2 - X3) * lambda6 + (lambda4 * (- (lambda3)^3)) = lambda6 * (lambda1 * (lambda3)^2 - X3) - lambda4 * (lambda3)^3 Z3 = H * Z1 * Z2 = lambda3 * Z1 * Z2 = Z1 * Z2 * lambda3
static boolean	checkECPoint(ECPoint ecPoint, EllipticCurve curve) Check if elliptic curve point is on target elliptic curve
static boolean	isSM2Curve(AlgorithmParameterSpec params)
static boolean	isSM2Curve(EllipticCurve curve)
static ECPoint	multiply(ECPoint ecPoint, BigInteger k, EllipticCurve curve)
static ECPoint	multiply(ECPoint ecPoint, int k, EllipticCurve curve)
(专用程序包) static SM2P256V1Point	subtract(SM2P256V1Point p1, SM2P256V1Point p2)
(专用程序包) static SM2P256V1Point	timesPow2(SM2P256V1Point p, int e)
private static SM2P256V1Point	twice(SM2P256V1Point p1) T = (Y1)^4 t2 = (Z1)^2 t1 = X1 - (Z1)^2 M = X1 + (Z1)^2 M = M * t1 = (X1)^2 - (Z1)^4 M = M + M + M = 3 * (X1)^2 - 3 *(Z1)^4 <==> Is it equivalent?

从类继承的方法 java.lang.Object

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

字段详细资料

SM2_CURVE_NAMES

private static final Set<String> SM2_CURVE_NAMES

SM2_CURVE

private static final EllipticCurve SM2_CURVE

构造器详细资料

GMUtil

public GMUtil()

方法详细资料

isSM2Curve

public static boolean isSM2Curve(AlgorithmParameterSpec params)

isSM2Curve

public static boolean isSM2Curve(EllipticCurve curve)

checkECPoint

public static boolean checkECPoint(ECPoint ecPoint,
                                   EllipticCurve curve)

Check if elliptic curve point is on target elliptic curve

参数:

ecPoint -

curve -

返回:

true or false

multiply

public static ECPoint multiply(ECPoint ecPoint,
                               int k,
                               EllipticCurve curve)

multiply

public static ECPoint multiply(ECPoint ecPoint,
                               BigInteger k,
                               EllipticCurve curve)

add

public static ECPoint add(ECPoint p1,
                          ECPoint p2)

subtract

static SM2P256V1Point subtract(SM2P256V1Point p1,
                               SM2P256V1Point p2)

timesPow2

static SM2P256V1Point timesPow2(SM2P256V1Point p,
                                int e)

add

static SM2P256V1Point add(SM2P256V1Point p1,
                          SM2P256V1Point p2)

U2 = lambda2 S2 = lambda5 U1 = lambda1 S1 = lambda4 H = U1 - U2 = lambda1 - lambda2 = lambda3 R = S1 - S2 = lambda4 - lambda5 = lambda6 G = H^3 = (lambda3)^3 V = H^2 * U1 = (lambda3)^2 * lambda1 G = -H^3 = -(lambda3)^3 tt1 = S1 * G = lambda4 * (- (lambda3)^3) G = 2*V + G = 2 * (lambda3^2 * lambda1) + (-(lambda3)^3 ) = lambda3^2 (2 * lambda1 - lambda3) = lambda3^2 ( 2 * lambda1 - (lambda1 - lambda2)) = lambda3^2 * (lambda1 + lambda2 ) = lambda3^2 * lambda7 X3 = R^2 - G = lambda6^2 - lambda7 *(lambda3)^2 Y3 = (V - X3) * R + tt1 = (lambda1 * (lambda3)^2 - X3) * lambda6 + (lambda4 * (- (lambda3)^3)) = lambda6 * (lambda1 * (lambda3)^2 - X3) - lambda4 * (lambda3)^3 Z3 = H * Z1 * Z2 = lambda3 * Z1 * Z2 = Z1 * Z2 * lambda3

twice

private static SM2P256V1Point twice(SM2P256V1Point p1)

T = (Y1)^4 t2 = (Z1)^2 t1 = X1 - (Z1)^2 M = X1 + (Z1)^2 M = M * t1 = (X1)^2 - (Z1)^4 M = M + M + M = 3 * (X1)^2 - 3 *(Z1)^4 <==> Is it equivalent? (3 *(X1^2) + a * (Z1)^4) = lambda1 S = (X1 *(Y1)^2 )<< 2 = 4 * X1 * (Y1)^2 = lambda2 t1 = T << 3 = 8 * T = 8 * (Y1)^4 = lambda3 X3 = M^2 - 2 * S = (lambda1)^2 - 2 * lambda2 Y3 = (S - X3) * M - t1 = (lambda2 - X3) * lambda1 - lambda3 = lambda1 * (lambda2 - X3) - lambda3 Z3 = 2 * Y1 * Z1