GOST3411, Keccak, MD2, MD4, MD5, SHA1, RIPEMD128, RIPEMD160, RIPEMD256, RIPEMD320, SHA224, SHA256, SHA384, SHA512, SHA3, Skein, SM3, Tiger, Whirlpool
RSA算法实现参见另一篇文章：https://lobin.iteye.com/blog/2328267
MD2, MD4, MD5算法实现参见另一篇文章：https://lobin.iteye.com/blog/2381977
SHAx算法实现参见另一篇文章：https://lobin.iteye.com/blog/2322954
Keccak算法实现参见另一篇文章：https://lobin.iteye.com/blog/2436668
NONEwithRSA，MD2withRSA，MD5withRSA，SHA1withRSA，SHA224withRSA，SHA256withRSA，SHA384withRSA，SHA512withRSA，RawDSA，SHA1withDSA，SHA224withDSA，SHA256withDSA
| NONEwithRSA | java.security.Signature.CipherAdapter#CipherAdapter |
通过CipherAdapter进行适配 javax.crypto.Cipher 如 com.sun.crypto.provider.RSACipher等 |
| MD2withRSA | sun.security.rsa.RSASignature.MD2withRSA | |
| MD5withRSA | sun.security.rsa.RSASignature.MD5withRSA | |
| SHA1withRSA | sun.security.rsa.RSASignature.SHA1withRSA | |
| SHA224withRSA | sun.security.rsa.RSASignature.SHA224withRSA | |
| SHA256withRSA | sun.security.rsa.RSASignature.SHA256withRSA | |
| SHA384withRSA | sun.security.rsa.RSASignature.SHA384withRSA | |
| SHA512withRSA | sun.security.rsa.RSASignature.SHA512withRSA | |
| NONEwithDSA | sun.security.provider.DSA.RawDSA | |
| RawDSA | sun.security.provider.DSA.RawDSA | |
| SHA1withDSA | sun.security.provider.DSA.SHA1withDSA | |
| SHA224withDSA | sun.security.provider.DSA.SHA224withDSA | |
| SHA256withDSA | sun.security.provider.DSA.SHA256withDSA | |
| NONEwithECDSA | sun.security.ec.ECDSASignature.Raw | |
| SHA1withECDSA | sun.security.ec.ECDSASignature.SHA1 | |
| SHA224withECDSA | sun.security.ec.ECDSASignature.SHA224 | |
| SHA256withECDSA | sun.security.ec.ECDSASignature.SHA256 | |
| SHA384withECDSA | sun.security.ec.ECDSASignature.SHA384 | |
| SHA512withECDSA | sun.security.ec.ECDSASignature.SHA512 |
Keccak算法
Digest
public interface Digest {
/**
* Insert one more input data byte.
*
* @param in the input byte
*/
void update(byte in);
/**
* Insert some more bytes.
*
* @param inbuf the data bytes
*/
void update(byte[] inbuf);
/**
* Insert some more bytes.
*
* @param inbuf the data buffer
* @param off the data offset in {@code inbuf}
* @param len the data length (in bytes)
*/
void update(byte[] inbuf, int off, int len);
/**
* Finalize the current hash computation and return the hash value
* in a newly-allocated array. The object is resetted.
*
* @return the hash output
*/
byte[] digest();
/**
* Input some bytes, then finalize the current hash computation
* and return the hash value in a newly-allocated array. The object
* is resetted.
*
* @param inbuf the input data
* @return the hash output
*/
byte[] digest(byte[] inbuf);
/**
* Finalize the current hash computation and store the hash value
* in the provided output buffer. The {@code len} parameter
* contains the maximum number of bytes that should be written;
* no more bytes than the natural hash function output length will
* be produced. If {@code len} is smaller than the natural
* hash output length, the hash output is truncated to its first
* {@code len} bytes. The object is resetted.
*
* @param outbuf the output buffer
* @param off the output offset within {@code outbuf}
* @param len the requested hash output length (in bytes)
* @return the number of bytes actually written in {@code outbuf}
*/
int digest(byte[] outbuf, int off, int len);
/**
* Get the natural hash function output length (in bytes).
*
* @return the digest output length (in bytes)
*/
int getDigestLength();
/**
* Reset the object: this makes it suitable for a new hash
* computation. The current computation, if any, is discarded.
*/
void reset();
/**
* Clone the current state. The returned object evolves independantly
* of this object.
*
* @return the clone
*/
Digest copy();
/**
* <p>Return the "block length" for the hash function. This
* value is naturally defined for iterated hash functions
* (Merkle-Damgard). It is used in HMAC (that's what the
* <a href="http://tools.ietf.org/html/rfc2104">HMAC specification</a>
* names the "{@code B}" parameter).</p>
*
* <p>If the function is "block-less" then this function may
* return {@code -n} where {@code n} is an integer such that the
* block length for HMAC ("{@code B}") will be inferred from the
* key length, by selecting the smallest multiple of {@code n}
* which is no smaller than the key length. For instance, for
* the Fugue-xxx hash functions, this function returns -4: the
* virtual block length B is the HMAC key length, rounded up to
* the next multiple of 4.</p>
*
* @return the internal block length (in bytes), or {@code -n}
*/
int getBlockLength();
/**
* <p>Get the display name for this function (e.g. {@code "SHA-1"}
* for SHA-1).</p>
*
* @see Object
*/
String toString();
}
DigestEngine
public abstract class DigestEngine implements Digest {
/**
* Reset the hash algorithm state.
*/
protected abstract void engineReset();
/**
* Process one block of data.
*
* @param data the data block
*/
protected abstract void processBlock(byte[] data);
/**
* Perform the final padding and store the result in the
* provided buffer. This method shall call {@link #flush}
* and then {@link #update} with the appropriate padding
* data in order to get the full input data.
*
* @param buf the output buffer
* @param off the output offset
*/
protected abstract void doPadding(byte[] buf, int off);
/**
* This function is called at object creation time; the
* implementation should use it to perform initialization tasks.
* After this method is called, the implementation should be ready
* to process data or meaningfully honour calls such as
* {@link #getDigestLength}
*/
protected abstract void doInit();
private int digestLen, blockLen, inputLen;
private byte[] inputBuf, outputBuf;
private long blockCount;
/**
* Instantiate the engine.
*/
public DigestEngine()
{
doInit();
digestLen = getDigestLength();
blockLen = getInternalBlockLength();
inputBuf = new byte[blockLen];
outputBuf = new byte[digestLen];
inputLen = 0;
blockCount = 0;
}
private void adjustDigestLen()
{
if (digestLen == 0) {
digestLen = getDigestLength();
outputBuf = new byte[digestLen];
}
}
/** @see org.ethereum.crypto.cryptohash.Digest */
public byte[] digest()
{
adjustDigestLen();
byte[] result = new byte[digestLen];
digest(result, 0, digestLen);
return result;
}
/** @see org.ethereum.crypto.cryptohash.Digest */
public byte[] digest(byte[] input)
{
update(input, 0, input.length);
return digest();
}
/** @see org.ethereum.crypto.cryptohash.Digest */
public int digest(byte[] buf, int offset, int len)
{
adjustDigestLen();
if (len >= digestLen) {
doPadding(buf, offset);
reset();
return digestLen;
} else {
doPadding(outputBuf, 0);
System.arraycopy(outputBuf, 0, buf, offset, len);
reset();
return len;
}
}
/** @see org.ethereum.crypto.cryptohash.Digest */
public void reset()
{
engineReset();
inputLen = 0;
blockCount = 0;
}
/** @see org.ethereum.crypto.cryptohash.Digest */
public void update(byte input)
{
inputBuf[inputLen ++] = (byte)input;
if (inputLen == blockLen) {
processBlock(inputBuf);
blockCount ++;
inputLen = 0;
}
}
/** @see org.ethereum.crypto.cryptohash.Digest */
public void update(byte[] input)
{
update(input, 0, input.length);
}
/** @see org.ethereum.crypto.cryptohash.Digest */
public void update(byte[] input, int offset, int len)
{
while (len > 0) {
int copyLen = blockLen - inputLen;
if (copyLen > len)
copyLen = len;
System.arraycopy(input, offset, inputBuf, inputLen,
copyLen);
offset += copyLen;
inputLen += copyLen;
len -= copyLen;
if (inputLen == blockLen) {
processBlock(inputBuf);
blockCount ++;
inputLen = 0;
}
}
}
/**
* Get the internal block length. This is the length (in
* bytes) of the array which will be passed as parameter to
* {@link #processBlock}. The default implementation of this
* method calls {@link #getBlockLength} and returns the same
* value. Overriding this method is useful when the advertised
* block length (which is used, for instance, by HMAC) is
* suboptimal with regards to internal buffering needs.
*
* @return the internal block length (in bytes)
*/
protected int getInternalBlockLength()
{
return getBlockLength();
}
/**
* Flush internal buffers, so that less than a block of data
* may at most be upheld.
*
* @return the number of bytes still unprocessed after the flush
*/
protected final int flush()
{
return inputLen;
}
/**
* Get a reference to an internal buffer with the same size
* than a block. The contents of that buffer are defined only
* immediately after a call to {@link #flush()}: if
* {@link #flush()} return the value {@code n}, then the
* first {@code n} bytes of the array returned by this method
* are the {@code n} bytes of input data which are still
* unprocessed. The values of the remaining bytes are
* undefined and may be altered at will.
*
* @return a block-sized internal buffer
*/
protected final byte[] getBlockBuffer()
{
return inputBuf;
}
/**
* Get the "block count": this is the number of times the
* {@link #processBlock} method has been invoked for the
* current hash operation. That counter is incremented
* <em>after</em> the call to {@link #processBlock}.
*
* @return the block count
*/
protected long getBlockCount()
{
return blockCount;
}
/**
* This function copies the internal buffering state to some
* other instance of a class extending {@code DigestEngine}.
* It returns a reference to the copy. This method is intended
* to be called by the implementation of the {@link #copy}
* method.
*
* @param dest the copy
* @return the value {@code dest}
*/
protected Digest copyState(DigestEngine dest)
{
dest.inputLen = inputLen;
dest.blockCount = blockCount;
System.arraycopy(inputBuf, 0, dest.inputBuf, 0,
inputBuf.length);
adjustDigestLen();
dest.adjustDigestLen();
System.arraycopy(outputBuf, 0, dest.outputBuf, 0,
outputBuf.length);
return dest;
}
}
KeccakCore
abstract class KeccakCore extends DigestEngine {
KeccakCore()
{
}
private long[] A;
private byte[] tmpOut;
private static final long[] RC = {
0x0000000000000001L, 0x0000000000008082L,
0x800000000000808AL, 0x8000000080008000L,
0x000000000000808BL, 0x0000000080000001L,
0x8000000080008081L, 0x8000000000008009L,
0x000000000000008AL, 0x0000000000000088L,
0x0000000080008009L, 0x000000008000000AL,
0x000000008000808BL, 0x800000000000008BL,
0x8000000000008089L, 0x8000000000008003L,
0x8000000000008002L, 0x8000000000000080L,
0x000000000000800AL, 0x800000008000000AL,
0x8000000080008081L, 0x8000000000008080L,
0x0000000080000001L, 0x8000000080008008L
};
/**
* Encode the 64-bit word {@code val} into the array
* {@code buf} at offset {@code off}, in little-endian
* convention (least significant byte first).
*
* @param val the value to encode
* @param buf the destination buffer
* @param off the destination offset
*/
private static void encodeLELong(long val, byte[] buf, int off)
{
buf[off + 0] = (byte)val;
buf[off + 1] = (byte)(val >>> 8);
buf[off + 2] = (byte)(val >>> 16);
buf[off + 3] = (byte)(val >>> 24);
buf[off + 4] = (byte)(val >>> 32);
buf[off + 5] = (byte)(val >>> 40);
buf[off + 6] = (byte)(val >>> 48);
buf[off + 7] = (byte)(val >>> 56);
}
/**
* Decode a 64-bit little-endian word from the array {@code buf}
* at offset {@code off}.
*
* @param buf the source buffer
* @param off the source offset
* @return the decoded value
*/
private static long decodeLELong(byte[] buf, int off)
{
return (buf[off + 0] & 0xFFL)
| ((buf[off + 1] & 0xFFL) << 8)
| ((buf[off + 2] & 0xFFL) << 16)
| ((buf[off + 3] & 0xFFL) << 24)
| ((buf[off + 4] & 0xFFL) << 32)
| ((buf[off + 5] & 0xFFL) << 40)
| ((buf[off + 6] & 0xFFL) << 48)
| ((buf[off + 7] & 0xFFL) << 56);
}
/** @see org.ethereum.crypto.cryptohash.DigestEngine */
protected void engineReset()
{
doReset();
}
/** @see org.ethereum.crypto.cryptohash.DigestEngine */
protected void processBlock(byte[] data)
{
/* Input block */
for (int i = 0; i < data.length; i += 8)
A[i >>> 3] ^= decodeLELong(data, i);
long t0, t1, t2, t3, t4;
long tt0, tt1, tt2, tt3, tt4;
long t, kt;
long c0, c1, c2, c3, c4, bnn;
/*
* Unrolling four rounds kills performance big time
* on Intel x86 Core2, in both 32-bit and 64-bit modes
* (less than 1 MB/s instead of 55 MB/s on x86-64).
* Unrolling two rounds appears to be fine.
*/
for (int j = 0; j < 24; j += 2) {
tt0 = A[ 1] ^ A[ 6];
tt1 = A[11] ^ A[16];
tt0 ^= A[21] ^ tt1;
tt0 = (tt0 << 1) | (tt0 >>> 63);
tt2 = A[ 4] ^ A[ 9];
tt3 = A[14] ^ A[19];
tt0 ^= A[24];
tt2 ^= tt3;
t0 = tt0 ^ tt2;
tt0 = A[ 2] ^ A[ 7];
tt1 = A[12] ^ A[17];
tt0 ^= A[22] ^ tt1;
tt0 = (tt0 << 1) | (tt0 >>> 63);
tt2 = A[ 0] ^ A[ 5];
tt3 = A[10] ^ A[15];
tt0 ^= A[20];
tt2 ^= tt3;
t1 = tt0 ^ tt2;
tt0 = A[ 3] ^ A[ 8];
tt1 = A[13] ^ A[18];
tt0 ^= A[23] ^ tt1;
tt0 = (tt0 << 1) | (tt0 >>> 63);
tt2 = A[ 1] ^ A[ 6];
tt3 = A[11] ^ A[16];
tt0 ^= A[21];
tt2 ^= tt3;
t2 = tt0 ^ tt2;
tt0 = A[ 4] ^ A[ 9];
tt1 = A[14] ^ A[19];
tt0 ^= A[24] ^ tt1;
tt0 = (tt0 << 1) | (tt0 >>> 63);
tt2 = A[ 2] ^ A[ 7];
tt3 = A[12] ^ A[17];
tt0 ^= A[22];
tt2 ^= tt3;
t3 = tt0 ^ tt2;
tt0 = A[ 0] ^ A[ 5];
tt1 = A[10] ^ A[15];
tt0 ^= A[20] ^ tt1;
tt0 = (tt0 << 1) | (tt0 >>> 63);
tt2 = A[ 3] ^ A[ 8];
tt3 = A[13] ^ A[18];
tt0 ^= A[23];
tt2 ^= tt3;
t4 = tt0 ^ tt2;
A[ 0] = A[ 0] ^ t0;
A[ 5] = A[ 5] ^ t0;
A[10] = A[10] ^ t0;
A[15] = A[15] ^ t0;
A[20] = A[20] ^ t0;
A[ 1] = A[ 1] ^ t1;
A[ 6] = A[ 6] ^ t1;
A[11] = A[11] ^ t1;
A[16] = A[16] ^ t1;
A[21] = A[21] ^ t1;
A[ 2] = A[ 2] ^ t2;
A[ 7] = A[ 7] ^ t2;
A[12] = A[12] ^ t2;
A[17] = A[17] ^ t2;
A[22] = A[22] ^ t2;
A[ 3] = A[ 3] ^ t3;
A[ 8] = A[ 8] ^ t3;
A[13] = A[13] ^ t3;
A[18] = A[18] ^ t3;
A[23] = A[23] ^ t3;
A[ 4] = A[ 4] ^ t4;
A[ 9] = A[ 9] ^ t4;
A[14] = A[14] ^ t4;
A[19] = A[19] ^ t4;
A[24] = A[24] ^ t4;
A[ 5] = (A[ 5] << 36) | (A[ 5] >>> (64 - 36));
A[10] = (A[10] << 3) | (A[10] >>> (64 - 3));
A[15] = (A[15] << 41) | (A[15] >>> (64 - 41));
A[20] = (A[20] << 18) | (A[20] >>> (64 - 18));
A[ 1] = (A[ 1] << 1) | (A[ 1] >>> (64 - 1));
A[ 6] = (A[ 6] << 44) | (A[ 6] >>> (64 - 44));
A[11] = (A[11] << 10) | (A[11] >>> (64 - 10));
A[16] = (A[16] << 45) | (A[16] >>> (64 - 45));
A[21] = (A[21] << 2) | (A[21] >>> (64 - 2));
A[ 2] = (A[ 2] << 62) | (A[ 2] >>> (64 - 62));
A[ 7] = (A[ 7] << 6) | (A[ 7] >>> (64 - 6));
A[12] = (A[12] << 43) | (A[12] >>> (64 - 43));
A[17] = (A[17] << 15) | (A[17] >>> (64 - 15));
A[22] = (A[22] << 61) | (A[22] >>> (64 - 61));
A[ 3] = (A[ 3] << 28) | (A[ 3] >>> (64 - 28));
A[ 8] = (A[ 8] << 55) | (A[ 8] >>> (64 - 55));
A[13] = (A[13] << 25) | (A[13] >>> (64 - 25));
A[18] = (A[18] << 21) | (A[18] >>> (64 - 21));
A[23] = (A[23] << 56) | (A[23] >>> (64 - 56));
A[ 4] = (A[ 4] << 27) | (A[ 4] >>> (64 - 27));
A[ 9] = (A[ 9] << 20) | (A[ 9] >>> (64 - 20));
A[14] = (A[14] << 39) | (A[14] >>> (64 - 39));
A[19] = (A[19] << 8) | (A[19] >>> (64 - 8));
A[24] = (A[24] << 14) | (A[24] >>> (64 - 14));
bnn = ~A[12];
kt = A[ 6] | A[12];
c0 = A[ 0] ^ kt;
kt = bnn | A[18];
c1 = A[ 6] ^ kt;
kt = A[18] & A[24];
c2 = A[12] ^ kt;
kt = A[24] | A[ 0];
c3 = A[18] ^ kt;
kt = A[ 0] & A[ 6];
c4 = A[24] ^ kt;
A[ 0] = c0;
A[ 6] = c1;
A[12] = c2;
A[18] = c3;
A[24] = c4;
bnn = ~A[22];
kt = A[ 9] | A[10];
c0 = A[ 3] ^ kt;
kt = A[10] & A[16];
c1 = A[ 9] ^ kt;
kt = A[16] | bnn;
c2 = A[10] ^ kt;
kt = A[22] | A[ 3];
c3 = A[16] ^ kt;
kt = A[ 3] & A[ 9];
c4 = A[22] ^ kt;
A[ 3] = c0;
A[ 9] = c1;
A[10] = c2;
A[16] = c3;
A[22] = c4;
bnn = ~A[19];
kt = A[ 7] | A[13];
c0 = A[ 1] ^ kt;
kt = A[13] & A[19];
c1 = A[ 7] ^ kt;
kt = bnn & A[20];
c2 = A[13] ^ kt;
kt = A[20] | A[ 1];
c3 = bnn ^ kt;
kt = A[ 1] & A[ 7];
c4 = A[20] ^ kt;
A[ 1] = c0;
A[ 7] = c1;
A[13] = c2;
A[19] = c3;
A[20] = c4;
bnn = ~A[17];
kt = A[ 5] & A[11];
c0 = A[ 4] ^ kt;
kt = A[11] | A[17];
c1 = A[ 5] ^ kt;
kt = bnn | A[23];
c2 = A[11] ^ kt;
kt = A[23] & A[ 4];
c3 = bnn ^ kt;
kt = A[ 4] | A[ 5];
c4 = A[23] ^ kt;
A[ 4] = c0;
A[ 5] = c1;
A[11] = c2;
A[17] = c3;
A[23] = c4;
bnn = ~A[ 8];
kt = bnn & A[14];
c0 = A[ 2] ^ kt;
kt = A[14] | A[15];
c1 = bnn ^ kt;
kt = A[15] & A[21];
c2 = A[14] ^ kt;
kt = A[21] | A[ 2];
c3 = A[15] ^ kt;
kt = A[ 2] & A[ 8];
c4 = A[21] ^ kt;
A[ 2] = c0;
A[ 8] = c1;
A[14] = c2;
A[15] = c3;
A[21] = c4;
A[ 0] = A[ 0] ^ RC[j + 0];
tt0 = A[ 6] ^ A[ 9];
tt1 = A[ 7] ^ A[ 5];
tt0 ^= A[ 8] ^ tt1;
tt0 = (tt0 << 1) | (tt0 >>> 63);
tt2 = A[24] ^ A[22];
tt3 = A[20] ^ A[23];
tt0 ^= A[21];
tt2 ^= tt3;
t0 = tt0 ^ tt2;
tt0 = A[12] ^ A[10];
tt1 = A[13] ^ A[11];
tt0 ^= A[14] ^ tt1;
tt0 = (tt0 << 1) | (tt0 >>> 63);
tt2 = A[ 0] ^ A[ 3];
tt3 = A[ 1] ^ A[ 4];
tt0 ^= A[ 2];
tt2 ^= tt3;
t1 = tt0 ^ tt2;
tt0 = A[18] ^ A[16];
tt1 = A[19] ^ A[17];
tt0 ^= A[15] ^ tt1;
tt0 = (tt0 << 1) | (tt0 >>> 63);
tt2 = A[ 6] ^ A[ 9];
tt3 = A[ 7] ^ A[ 5];
tt0 ^= A[ 8];
tt2 ^= tt3;
t2 = tt0 ^ tt2;
tt0 = A[24] ^ A[22];
tt1 = A[20] ^ A[23];
tt0 ^= A[21] ^ tt1;
tt0 = (tt0 << 1) | (tt0 >>> 63);
tt2 = A[12] ^ A[10];
tt3 = A[13] ^ A[11];
tt0 ^= A[14];
tt2 ^= tt3;
t3 = tt0 ^ tt2;
tt0 = A[ 0] ^ A[ 3];
tt1 = A[ 1] ^ A[ 4];
tt0 ^= A[ 2] ^ tt1;
tt0 = (tt0 << 1) | (tt0 >>> 63);
tt2 = A[18] ^ A[16];
tt3 = A[19] ^ A[17];
tt0 ^= A[15];
tt2 ^= tt3;
t4 = tt0 ^ tt2;
A[ 0] = A[ 0] ^ t0;
A[ 3] = A[ 3] ^ t0;
A[ 1] = A[ 1] ^ t0;
A[ 4] = A[ 4] ^ t0;
A[ 2] = A[ 2] ^ t0;
A[ 6] = A[ 6] ^ t1;
A[ 9] = A[ 9] ^ t1;
A[ 7] = A[ 7] ^ t1;
A[ 5] = A[ 5] ^ t1;
A[ 8] = A[ 8] ^ t1;
A[12] = A[12] ^ t2;
A[10] = A[10] ^ t2;
A[13] = A[13] ^ t2;
A[11] = A[11] ^ t2;
A[14] = A[14] ^ t2;
A[18] = A[18] ^ t3;
A[16] = A[16] ^ t3;
A[19] = A[19] ^ t3;
A[17] = A[17] ^ t3;
A[15] = A[15] ^ t3;
A[24] = A[24] ^ t4;
A[22] = A[22] ^ t4;
A[20] = A[20] ^ t4;
A[23] = A[23] ^ t4;
A[21] = A[21] ^ t4;
A[ 3] = (A[ 3] << 36) | (A[ 3] >>> (64 - 36));
A[ 1] = (A[ 1] << 3) | (A[ 1] >>> (64 - 3));
A[ 4] = (A[ 4] << 41) | (A[ 4] >>> (64 - 41));
A[ 2] = (A[ 2] << 18) | (A[ 2] >>> (64 - 18));
A[ 6] = (A[ 6] << 1) | (A[ 6] >>> (64 - 1));
A[ 9] = (A[ 9] << 44) | (A[ 9] >>> (64 - 44));
A[ 7] = (A[ 7] << 10) | (A[ 7] >>> (64 - 10));
A[ 5] = (A[ 5] << 45) | (A[ 5] >>> (64 - 45));
A[ 8] = (A[ 8] << 2) | (A[ 8] >>> (64 - 2));
A[12] = (A[12] << 62) | (A[12] >>> (64 - 62));
A[10] = (A[10] << 6) | (A[10] >>> (64 - 6));
A[13] = (A[13] << 43) | (A[13] >>> (64 - 43));
A[11] = (A[11] << 15) | (A[11] >>> (64 - 15));
A[14] = (A[14] << 61) | (A[14] >>> (64 - 61));
A[18] = (A[18] << 28) | (A[18] >>> (64 - 28));
A[16] = (A[16] << 55) | (A[16] >>> (64 - 55));
A[19] = (A[19] << 25) | (A[19] >>> (64 - 25));
A[17] = (A[17] << 21) | (A[17] >>> (64 - 21));
A[15] = (A[15] << 56) | (A[15] >>> (64 - 56));
A[24] = (A[24] << 27) | (A[24] >>> (64 - 27));
A[22] = (A[22] << 20) | (A[22] >>> (64 - 20));
A[20] = (A[20] << 39) | (A[20] >>> (64 - 39));
A[23] = (A[23] << 8) | (A[23] >>> (64 - 8));
A[21] = (A[21] << 14) | (A[21] >>> (64 - 14));
bnn = ~A[13];
kt = A[ 9] | A[13];
c0 = A[ 0] ^ kt;
kt = bnn | A[17];
c1 = A[ 9] ^ kt;
kt = A[17] & A[21];
c2 = A[13] ^ kt;
kt = A[21] | A[ 0];
c3 = A[17] ^ kt;
kt = A[ 0] & A[ 9];
c4 = A[21] ^ kt;
A[ 0] = c0;
A[ 9] = c1;
A[13] = c2;
A[17] = c3;
A[21] = c4;
bnn = ~A[14];
kt = A[22] | A[ 1];
c0 = A[18] ^ kt;
kt = A[ 1] & A[ 5];
c1 = A[22] ^ kt;
kt = A[ 5] | bnn;
c2 = A[ 1] ^ kt;
kt = A[14] | A[18];
c3 = A[ 5] ^ kt;
kt = A[18] & A[22];
c4 = A[14] ^ kt;
A[18] = c0;
A[22] = c1;
A[ 1] = c2;
A[ 5] = c3;
A[14] = c4;
bnn = ~A[23];
kt = A[10] | A[19];
c0 = A[ 6] ^ kt;
kt = A[19] & A[23];
c1 = A[10] ^ kt;
kt = bnn & A[ 2];
c2 = A[19] ^ kt;
kt = A[ 2] | A[ 6];
c3 = bnn ^ kt;
kt = A[ 6] & A[10];
c4 = A[ 2] ^ kt;
A[ 6] = c0;
A[10] = c1;
A[19] = c2;
A[23] = c3;
A[ 2] = c4;
bnn = ~A[11];
kt = A[ 3] & A[ 7];
c0 = A[24] ^ kt;
kt = A[ 7] | A[11];
c1 = A[ 3] ^ kt;
kt = bnn | A[15];
c2 = A[ 7] ^ kt;
kt = A[15] & A[24];
c3 = bnn ^ kt;
kt = A[24] | A[ 3];
c4 = A[15] ^ kt;
A[24] = c0;
A[ 3] = c1;
A[ 7] = c2;
A[11] = c3;
A[15] = c4;
bnn = ~A[16];
kt = bnn & A[20];
c0 = A[12] ^ kt;
kt = A[20] | A[ 4];
c1 = bnn ^ kt;
kt = A[ 4] & A[ 8];
c2 = A[20] ^ kt;
kt = A[ 8] | A[12];
c3 = A[ 4] ^ kt;
kt = A[12] & A[16];
c4 = A[ 8] ^ kt;
A[12] = c0;
A[16] = c1;
A[20] = c2;
A[ 4] = c3;
A[ 8] = c4;
A[ 0] = A[ 0] ^ RC[j + 1];
t = A[ 5];
A[ 5] = A[18];
A[18] = A[11];
A[11] = A[10];
A[10] = A[ 6];
A[ 6] = A[22];
A[22] = A[20];
A[20] = A[12];
A[12] = A[19];
A[19] = A[15];
A[15] = A[24];
A[24] = A[ 8];
A[ 8] = t;
t = A[ 1];
A[ 1] = A[ 9];
A[ 9] = A[14];
A[14] = A[ 2];
A[ 2] = A[13];
A[13] = A[23];
A[23] = A[ 4];
A[ 4] = A[21];
A[21] = A[16];
A[16] = A[ 3];
A[ 3] = A[17];
A[17] = A[ 7];
A[ 7] = t;
}
}
/** @see org.ethereum.crypto.cryptohash.DigestEngine */
protected void doPadding(byte[] out, int off)
{
int ptr = flush();
byte[] buf = getBlockBuffer();
if ((ptr + 1) == buf.length) {
buf[ptr] = (byte)0x81;
} else {
buf[ptr] = (byte)0x01;
for (int i = ptr + 1; i < (buf.length - 1); i ++)
buf[i] = 0;
buf[buf.length - 1] = (byte)0x80;
}
processBlock(buf);
A[ 1] = ~A[ 1];
A[ 2] = ~A[ 2];
A[ 8] = ~A[ 8];
A[12] = ~A[12];
A[17] = ~A[17];
A[20] = ~A[20];
int dlen = getDigestLength();
for (int i = 0; i < dlen; i += 8)
encodeLELong(A[i >>> 3], tmpOut, i);
System.arraycopy(tmpOut, 0, out, off, dlen);
}
/** @see org.ethereum.crypto.cryptohash.DigestEngine */
protected void doInit()
{
A = new long[25];
tmpOut = new byte[(getDigestLength() + 7) & ~7];
doReset();
}
/** @see org.ethereum.crypto.cryptohash.Digest */
public int getBlockLength()
{
return 200 - 2 * getDigestLength();
}
private final void doReset()
{
for (int i = 0; i < 25; i ++)
A[i] = 0;
A[ 1] = 0xFFFFFFFFFFFFFFFFL;
A[ 2] = 0xFFFFFFFFFFFFFFFFL;
A[ 8] = 0xFFFFFFFFFFFFFFFFL;
A[12] = 0xFFFFFFFFFFFFFFFFL;
A[17] = 0xFFFFFFFFFFFFFFFFL;
A[20] = 0xFFFFFFFFFFFFFFFFL;
}
/** @see org.ethereum.crypto.cryptohash.DigestEngine */
protected Digest copyState(KeccakCore dst)
{
System.arraycopy(A, 0, dst.A, 0, 25);
return super.copyState(dst);
}
/** @see org.ethereum.crypto.cryptohash.Digest */
public String toString()
{
return "Keccak-" + (getDigestLength() << 3);
}
}
Keccak256
public class Keccak256 extends KeccakCore {
/**
* Create the engine.
*/
public Keccak256()
{
}
/** @see org.ethereum.crypto.cryptohash.Digest */
public Digest copy()
{
return copyState(new Keccak256());
}
/** @see org.ethereum.crypto.cryptohash.Digest */
public int getDigestLength()
{
return 32;
}
}
Keccak512
public class Keccak512 extends KeccakCore {
/**
* Create the engine.
*/
public Keccak512()
{
}
/** @see Digest */
public Digest copy()
{
return copyState(new Keccak512());
}
/** @see Digest */
public int getDigestLength()
{
return 64;
}
}
测试代码
public static byte[] sha3(byte[] input) {
Keccak256 digest = new Keccak256();
digest.update(input);
return digest.digest();
}
@Test
public void test() {
String message = "13120983870";
byte[] result = sha3(message.getBytes());
System.out.println("base64:" + Base64.byteArrayToBase64(result));
}
运行结果
base64:MFs2drA5BkHW8/hhU4xzNzdA/E/ySpvAJ1iypI+Cyhs=
Rainbow算法
import base64.Base64;
import org.junit.BeforeClass;
import org.spongycastle.crypto.AsymmetricCipherKeyPair;
import org.spongycastle.crypto.params.AsymmetricKeyParameter;
import org.spongycastle.pqc.crypto.rainbow.*;
import java.security.SecureRandom;
public class RainbowTest {
private static AsymmetricKeyParameter privateKey = null;
private static AsymmetricKeyParameter publicKey = null;
@BeforeClass
public static void init() {
RainbowKeyPairGenerator keyPairGenerator = new RainbowKeyPairGenerator();
RainbowKeyGenerationParameters rbKGParams = new RainbowKeyGenerationParameters(new SecureRandom(), new RainbowParameters());
keyPairGenerator.initialize(rbKGParams);
AsymmetricCipherKeyPair keyPair = keyPairGenerator.genKeyPair();
privateKey = keyPair.getPrivate();
RainbowPrivateKeyParameters privKey = (RainbowPrivateKeyParameters) privateKey;
publicKey = keyPair.getPublic();
RainbowPublicKeyParameters pubKey = (RainbowPublicKeyParameters) publicKey;
}
@org.junit.Test
public void test() {
String message = "13120983870";
RainbowSigner rainbow = new RainbowSigner();
rainbow.init(true, privateKey);
byte[] signature = rainbow.generateSignature(message.getBytes());
System.out.println("message=" + message + ";signature=base64:" + Base64.byteArrayToBase64(signature));
rainbow.init(false, publicKey);
boolean result = rainbow.verifySignature(message.getBytes(), signature);
System.out.println(result);
result = rainbow.verifySignature("13120983871".getBytes(), signature);
System.out.println(result);
}
}
message=13120983870;signature=base64:SuIF/kR6Wuo6dxe/Uqi3he0ad9G/ezsAim/9OsytQUHV true false
Java 标准api方式：
1、java的KeyPairGenerator，PrivateKey，PublicKey接口
2、java的Provider，KeyFactory，Signature接口
生成公钥和私钥：BCRainbowPrivateKey，BCRainbowPublicKey，他们分别实现了java的PrivateKey，PublicKey接口,并且私钥ASN.1编码（规范），编码按照PKCS#8标准，公钥ASN.1编码（规范），编码按照X.509标准。见#getEncoded方法实现。
参考文章：https://lobin.iteye.com/blog/2436665
通过这种方式，可以方便的管理秘钥（公钥，私钥）， 以及分发公钥。
private static BCRainbowPrivateKey privateKey1 = null; private static BCRainbowPublicKey publicKey1 = null;
@BeforeClass
public static void init() {
init1();
}
private static void init1() {
RainbowKeyPairGeneratorSpi keyPairGenerator1 = new RainbowKeyPairGeneratorSpi();
keyPairGenerator1.initialize(1024, new SecureRandom());
KeyPair keyPair1 = keyPairGenerator1.generateKeyPair();
privateKey1 = (BCRainbowPrivateKey) keyPair1.getPrivate();
publicKey1 = (BCRainbowPublicKey) keyPair1.getPublic();
byte[] privateKeyEncoded1 = privateKey1.getEncoded();
byte[] publicKeyEncoded1 = publicKey1.getEncoded();
System.out.println("private key: " + Base64.byteArrayToBase64(privateKeyEncoded1));
System.out.println("public key: " + Base64.byteArrayToBase64(publicKeyEncoded1));
}
公钥和私钥的生成也采用Java 标准api方式：KeyPairGenerator
private static void init2() {
provider = new BouncyCastlePQCProvider();
KeyPairGenerator keyPairGenerator = null;
try {
keyPairGenerator = KeyPairGenerator.getInstance("Rainbow", provider); // sun.security.rsa.RSAKeyPairGenerator
} catch (NoSuchAlgorithmException e) {
Assert.fail("no such algorithm: " + e.getMessage());
}
keyPairGenerator.initialize(1024, new SecureRandom());
KeyPair keyPair1 = keyPairGenerator.generateKeyPair();
privateKey1 = (BCRainbowPrivateKey) keyPair1.getPrivate();
publicKey1 = (BCRainbowPublicKey) keyPair1.getPublic();
byte[] privateKeyEncoded1 = privateKey1.getEncoded();
byte[] publicKeyEncoded1 = publicKey1.getEncoded();
System.out.println("private key: " + Base64.byteArrayToBase64(privateKeyEncoded1));
System.out.println("public key: " + Base64.byteArrayToBase64(publicKeyEncoded1));
}
@org.junit.Test
public void test2() {
String message = "13120983870";
RainbowSigner rainbow = new RainbowSigner();
RainbowPrivateKeyParameters privKey = new RainbowPrivateKeyParameters(privateKey1.getInvA1(),
privateKey1.getB1(),
privateKey1.getInvA2(),
privateKey1.getB2(),
privateKey1.getVi(),
privateKey1.getLayers());
rainbow.init(true, privKey);
byte[] signature = rainbow.generateSignature(message.getBytes());
System.out.println("message=" + message + ";signature=base64:" + Base64.byteArrayToBase64(signature));
RainbowPublicKeyParameters pubKey = new RainbowPublicKeyParameters(publicKey1.getDocLength(),
publicKey1.getCoeffQuadratic(),
publicKey1.getCoeffSingular(),
publicKey1.getCoeffScalar());
rainbow.init(false, pubKey);
boolean result = rainbow.verifySignature(message.getBytes(), signature);
System.out.println(result);
result = rainbow.verifySignature("13120983871".getBytes(), signature);
System.out.println(result);
}
private key: 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public key: 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 message=13120983870;signature=base64:8NOJCh5cPzmis+XaZu5Ploh47PlUQz8tv2I6Jm5wDlf5 true false
@org.junit.Test
public void test3() {
String message = "13120983870";
Provider provider = new BouncyCastlePQCProvider();
KeyFactory keyFactory = null;
try {
keyFactory = KeyFactory.getInstance("Rainbow", provider);
} catch (NoSuchAlgorithmException e) {
e.printStackTrace();
}
Signature signature = null;
try {
signature = Signature.getInstance("SHA512WITHRainbow", provider);
} catch (NoSuchAlgorithmException e) {
Assert.fail("no such algorithm: " + e.getMessage());
}
try {
signature.initSign(privateKey1);
} catch (InvalidKeyException e) {
Assert.fail("invalid key: " + e.getMessage());
}
byte[] sign = null;
try {
signature.update(message.getBytes());
sign = signature.sign();
} catch (SignatureException e) {
Assert.fail("signature: " + e.getMessage());
}
System.out.println("signature: " + Base64.byteArrayToBase64(sign));
signature = null;
try {
signature = Signature.getInstance("SHA512WITHRainbow", provider);
} catch (NoSuchAlgorithmException e) {
Assert.fail("no such algorithm: " + e.getMessage());
}
try {
signature.initVerify(publicKey1);
} catch (InvalidKeyException e) {
Assert.fail("invalid key: " + e.getMessage());
}
try {
signature.update(message.getBytes());
boolean result = signature.verify(sign);
System.out.println(result);
Assert.assertTrue(result);
} catch (SignatureException e) {
Assert.fail("signature: " + e.getMessage());
}
signature = null;
try {
signature = Signature.getInstance("SHA512WITHRainbow", provider);
} catch (NoSuchAlgorithmException e) {
Assert.fail("no such algorithm: " + e.getMessage());
}
try {
signature.initVerify(publicKey1);
} catch (InvalidKeyException e) {
Assert.fail("invalid key: " + e.getMessage());
}
try {
signature.update("13120983871".getBytes());
boolean result = signature.verify(sign);
System.out.println(result);
Assert.assertFalse(result);
} catch (SignatureException e) {
Assert.fail("signature: " + e.getMessage());
}
}
private key: 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public key: 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 signature: DcXR1dk2+m0fxg+Ght5dusWPXkheNHNHE+3EMkXLek4e true false
通过Java 标准api方式：KeyFactory，KeySpec生成公私钥，并进行签名和验证操作：
private void signAndVerity(String message, PrivateKey privateKey, PublicKey publicKey) {
Signature signature = null;
try {
signature = Signature.getInstance("SHA512WITHRainbow", provider);
} catch (NoSuchAlgorithmException e) {
Assert.fail("no such algorithm: " + e.getMessage());
}
try {
signature.initSign(privateKey);
} catch (InvalidKeyException e) {
Assert.fail("invalid key: " + e.getMessage());
}
byte[] sign = null;
try {
signature.update(message.getBytes());
sign = signature.sign();
} catch (SignatureException e) {
Assert.fail("signature: " + e.getMessage());
}
System.out.println("signature: " + Base64.byteArrayToBase64(sign));
signature = null;
try {
signature = Signature.getInstance("SHA512WITHRainbow", provider);
} catch (NoSuchAlgorithmException e) {
Assert.fail("no such algorithm: " + e.getMessage());
}
try {
signature.initVerify(publicKey);
} catch (InvalidKeyException e) {
Assert.fail("invalid key: " + e.getMessage());
}
try {
signature.update(message.getBytes());
boolean result = signature.verify(sign);
System.out.println(result);
Assert.assertTrue(result);
} catch (SignatureException e) {
Assert.fail("signature: " + e.getMessage());
}
signature = null;
try {
signature = Signature.getInstance("SHA512WITHRainbow", provider);
} catch (NoSuchAlgorithmException e) {
Assert.fail("no such algorithm: " + e.getMessage());
}
try {
signature.initVerify(publicKey);
} catch (InvalidKeyException e) {
Assert.fail("invalid key: " + e.getMessage());
}
try {
signature.update("13120983871".getBytes());
boolean result = signature.verify(sign);
System.out.println(result);
Assert.assertFalse(result);
} catch (SignatureException e) {
Assert.fail("signature: " + e.getMessage());
}
}
@org.junit.Test
public void test_1() {
String privKey = "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";
String pubKey = 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";
byte[] privateKeyEncoded = Base64.base64ToByteArray(privKey);
byte[] publicKeyEncoded = Base64.base64ToByteArray(pubKey);
String message = "13120983870";
System.out.println(message);
PKCS8EncodedKeySpec pkcs8KeySpec = new PKCS8EncodedKeySpec(privateKeyEncoded);
KeyFactory keyFactory = null;
try {
keyFactory = KeyFactory.getInstance("Rainbow", provider);
} catch (NoSuchAlgorithmException e) {
Assert.fail("no such algorithm: " + e.getMessage());
}
PrivateKey privateKey = null;
try {
privateKey = keyFactory.generatePrivate(pkcs8KeySpec);
} catch (InvalidKeySpecException e) {
Assert.fail("invalid key spec: " + e.getMessage());
}
System.out.println("private key: " + Base64.byteArrayToBase64(((Key) privateKey).getEncoded()));
X509EncodedKeySpec x509KeySpec = new X509EncodedKeySpec(publicKeyEncoded);
try {
keyFactory = KeyFactory.getInstance("Rainbow", provider);
} catch (NoSuchAlgorithmException e) {
Assert.fail("no such algorithm: " + e.getMessage());
}
PublicKey publicKey = null;
try {
publicKey = keyFactory.generatePublic(x509KeySpec);
} catch (InvalidKeySpecException e) {
Assert.fail("invalid key spec: " + e.getMessage());
}
System.out.println("public key: " + Base64.byteArrayToBase64(((Key) publicKey).getEncoded()));
signAndVerity(message, privateKey, publicKey);
}
哈希签名：哈希函数（hash）在数字签名中的实现思路
以下代码实现上的思路来自：Constructing Digital Signatures from a One Way Function, 文档资料源自http://lamport.azurewebsites.net/pubs/dig-sig.pdf, 这个是我下来上传的地址：http://dl.iteye.com/topics/download/f80e7b49-8d9c-30bb-9db9-8b3df6171465
public class HashDigest {
private static byte[] privateKeyEncodedPart1 = null;
private static byte[] privateKeyEncodedPart2 = null;
private static byte[] publicKeyEncodedPart1 = null;
private static byte[] publicKeyEncodedPart2 = null;
@BeforeClass
public static void init() {
privateKeyEncodedPart1 = new byte[256 * 8];
privateKeyEncodedPart2 = new byte[256 * 8];
for (int i = 0; i < 256; i++) {
Random random = new Random();
byte[] bytes = new byte[8];
random.nextBytes(bytes);
System.arraycopy(bytes, 0, privateKeyEncodedPart1, i * 8, bytes.length);
random.nextBytes(bytes);
System.arraycopy(bytes, 0, privateKeyEncodedPart2, i * 8, bytes.length);
}
publicKeyEncodedPart1 = new byte[256 * 8];
publicKeyEncodedPart2 = new byte[256 * 8];
for (int i = 0; i < 256; i++) {
byte[] t = new byte[8];
System.arraycopy(privateKeyEncodedPart1, i * 8, t, 0, t.length);
t = hash(t);
System.arraycopy(t, 0, publicKeyEncodedPart1, i * 8, t.length);
System.arraycopy(privateKeyEncodedPart2, i * 8, t, 0, t.length);
t = hash(t);
System.arraycopy(t, 0, publicKeyEncodedPart2, i * 8, t.length);
}
byte[] privateKeyEncoded = getPrivateKeyEncoded();
System.out.println("private key: " + Base64.byteArrayToBase64(privateKeyEncoded));
byte[] publicKeyEncoded = getPublicKeyEncoded();
System.out.println("public key: " + Base64.byteArrayToBase64(publicKeyEncoded));
}
private static byte[] getPrivateKeyEncoded() {
byte[] encoded = new byte[privateKeyEncodedPart1.length + privateKeyEncodedPart2.length];
System.arraycopy(privateKeyEncodedPart1, 0, encoded, 0, privateKeyEncodedPart1.length);
System.arraycopy(privateKeyEncodedPart2, 0, encoded, privateKeyEncodedPart1.length, privateKeyEncodedPart2.length);
return encoded;
}
private static byte[] getPublicKeyEncoded() {
byte[] encoded = new byte[publicKeyEncodedPart1.length + publicKeyEncodedPart2.length];
System.arraycopy(publicKeyEncodedPart1, 0, encoded, 0, publicKeyEncodedPart1.length);
System.arraycopy(publicKeyEncodedPart2, 0, encoded, publicKeyEncodedPart1.length, publicKeyEncodedPart2.length);
return encoded;
}
// 仅演示用
private static byte[] hash(byte[] input) {
byte[] bytes = new byte[input.length];
for (int i = 0; i < input.length; i++) {
bytes[i] = (byte) ~input[i];
}
return bytes;
}
public byte[] digest(byte[] input) {
byte[] digest = new byte[input.length * 8];
for (int i = 0; i < input.length; i++) {
int j = input[i] % 256;
if ((i & 0x01) == 0) {
System.arraycopy(privateKeyEncodedPart1, j * 8, digest, i * 8, 8);
} else {
System.arraycopy(privateKeyEncodedPart2, j * 8, digest, i * 8, 8);
}
}
return digest;
}
public boolean verify(byte[] input, byte[] digest) {
for (int i = 0; i < input.length; i++) {
byte[] t = new byte[8];
System.arraycopy(digest, i * 8, t, 0, t.length);
int j = input[i] % 256;
byte[] b = new byte[8];
if ((i & 0x01) == 0) {
System.arraycopy(publicKeyEncodedPart1, j * 8, b, 0, b.length);
} else {
System.arraycopy(publicKeyEncodedPart2, j * 8, b, 0, b.length);
}
b = hash(b);
for (int k = 0; k < t.length; k++) {
if (t[k] != b[k]) {
return false;
}
}
}
return true;
}
@org.junit.Test
public void test() {
String message = "13120983870";
System.out.println(message + ", base64: " + Base64.byteArrayToBase64(message.getBytes()));
byte[] digest = digest(message.getBytes());
System.out.println("signature: " + Base64.byteArrayToBase64(digest));
boolean result = verify(message.getBytes(), digest);
System.out.println(result);
result = verify("13120983871".getBytes(), digest);
System.out.println(result);
result = verify("13120983879".getBytes(), digest);
System.out.println(result);
result = verify("abcdefg".getBytes(), digest);
System.out.println(result);
}
}
private key: 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XL0ciaD/WnXj04Xwcq9wBpvcc2GAQTNTmd3nHIzLsU7N8Hl3AD6azyWU56CYLzs/vkwB5DbuEKMWmoSldIaVBVrn1CP9IpWzFnVR4PIphY30+yxUeCMqlZZ2TkthOuvZLdKTELY/xT+S7XOwTY2yWHjz30EDKmDWCnTCsGTFIxLrqBr7119jSICEhOjaSnPcFU7eYbRUbpiY0WF7H4qF/AjQgObxKAWPtbXmg3ytxwLiwvLVTDckhmpsHjVX3KOy9RaRW5ubwPAC/wb703jRHyGuz7sAMjoSR95oTwDVkFzQfpkdsXzMAzUnt82WLCiUAUfTmGy8uPH1mvLr5Vqw1C4nCJYdhjfFkROLMs6SzBpBQ3+6q1pCyQQ9Mph3Eq7S48RcxTxaNx+XiEoXHrNUgoMgNIY7OVoexpWEI0RN9V9Sh9SqNLupWPme1EcELeZ6EWKjmhe93UG1ug== public key: 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13120983870, base64: MTMxMjA5ODM4NzA= signature: gt0SgjpLWmyPgLdmw3mbxYLdEoI6S1psAG4ZGBSpBPs+62mTq93Vt+cB+FshxiYJTqKV1cnTpGqPgLdmw3mbxU6ildXJ06RqngIFxsrihHU+62mTq93Vtw== true false false false
1、Constructing Digital Signatures from a One Way Function, http://lamport.azurewebsites.net/pubs/pubs.html#dig-sig
2、Constructing Digital Signatures from a One Way Function, http://lamport.azurewebsites.net/pubs/dig-sig.pdf
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