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The Bouncy Castle Crypto package is a Java implementation of cryptographic algorithms. This jar contains JCE provider and lightweight API for the Bouncy Castle Cryptography APIs for JDK 1.5 to JDK 1.8. Note: this package includes the NTRU encryption algorithms.
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package org.bouncycastle.math.ec.tools;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.Enumeration;
import java.util.Iterator;
import java.util.SortedSet;
import java.util.TreeSet;
import org.bouncycastle.asn1.x9.ECNamedCurveTable;
import org.bouncycastle.asn1.x9.X9ECParameters;
import org.bouncycastle.crypto.ec.CustomNamedCurves;
import org.bouncycastle.math.ec.ECAlgorithms;
import org.bouncycastle.math.ec.ECFieldElement;
public class F2mSqrtOptimizer
{
public static void main(String[] args)
{
SortedSet names = new TreeSet(enumToList(ECNamedCurveTable.getNames()));
names.addAll(enumToList(CustomNamedCurves.getNames()));
Iterator it = names.iterator();
while (it.hasNext())
{
String name = (String)it.next();
X9ECParameters x9 = CustomNamedCurves.getByName(name);
if (x9 == null)
{
x9 = ECNamedCurveTable.getByName(name);
}
if (x9 != null && ECAlgorithms.isF2mCurve(x9.getCurve()))
{
System.out.print(name + ":");
implPrintRootZ(x9);
}
}
}
public static void printRootZ(X9ECParameters x9)
{
if (!ECAlgorithms.isF2mCurve(x9.getCurve()))
{
throw new IllegalArgumentException("Sqrt optimization only defined over characteristic-2 fields");
}
implPrintRootZ(x9);
}
private static void implPrintRootZ(X9ECParameters x9)
{
ECFieldElement z = x9.getCurve().fromBigInteger(BigInteger.valueOf(2));
ECFieldElement rootZ = z.sqrt();
System.out.println(rootZ.toBigInteger().toString(16).toUpperCase());
if (!rootZ.square().equals(z))
{
throw new IllegalStateException("Optimized-sqrt sanity check failed");
}
}
private static ArrayList enumToList(Enumeration en)
{
ArrayList rv = new ArrayList();
while (en.hasMoreElements())
{
rv.add(en.nextElement());
}
return rv;
}
}