添加rsa非对称加密算法实现，大素数
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|
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|
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131, 137, 139, 149, 151, 157, 163, 167, 173, 179,
|
||||
181, 191, 193, 197, 199, 211, 223, 227, 229, 233,
|
||||
239, 241, 251, 257, 263, 269, 271, 277, 281, 283,
|
||||
293, 307, 311, 313, 317, 331, 337, 347, 349, 353,
|
||||
359, 367, 373, 379, 383, 389, 397, 401, 409, 419,
|
||||
421, 431, 433, 439, 443, 449, 457, 461, 463, 467,
|
||||
479, 487, 491, 499, 503, 509, 521, 523, 541, 547,
|
||||
557, 563, 569, 571, 577, 587, 593, 599, 601, 607,
|
||||
613, 617, 619, 631, 641, 643, 647, 653, 659, 661,
|
||||
673, 677, 683, 691, 701, 709, 719, 727, 733, 739,
|
||||
743, 751, 757, 761, 769, 773, 787, 797, 809, 811,
|
||||
821, 823, 827, 829, 839, 853, 857, 859, 863, 877,
|
||||
881, 883, 887, 907, 911, 919, 929, 937, 941, 947,
|
||||
953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019,
|
||||
1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087,
|
||||
1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153,
|
||||
1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229,
|
||||
1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297,
|
||||
1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381,
|
||||
1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453,
|
||||
1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523,
|
||||
1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597,
|
||||
1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663,
|
||||
1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741,
|
||||
1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823,
|
||||
1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901,
|
||||
1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993,
|
||||
1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063,
|
||||
2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131,
|
||||
2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221,
|
||||
2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293,
|
||||
2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371,
|
||||
2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437,
|
||||
2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539,
|
||||
2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621,
|
||||
2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689,
|
||||
2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749,
|
||||
2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833,
|
||||
2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909,
|
||||
2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001,
|
||||
3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083,
|
||||
3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187,
|
||||
3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259,
|
||||
3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343,
|
||||
3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433,
|
||||
3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517,
|
||||
3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581,
|
||||
3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659,
|
||||
3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733,
|
||||
3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823,
|
||||
3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911,
|
||||
3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 4001
|
||||
};
|
||||
|
||||
BigInt GetPrime(int bits)
|
||||
{
|
||||
unsigned i;
|
||||
BigInt ret(bits/8);
|
||||
uint8_t *m_ulValue = ret.Data();
|
||||
int m_nLength = bits;
|
||||
begin:
|
||||
for(i=0;i<m_nLength;i++)
|
||||
m_ulValue[i] = rand()*0x10000 + rand();
|
||||
m_ulValue[0] = m_ulValue[0]|1;
|
||||
for(i = m_nLength - 1;i > 0;i--)
|
||||
{
|
||||
m_ulValue[i] = m_ulValue[i]<<1;
|
||||
if(m_ulValue[i-1]&0x80000000)
|
||||
m_ulValue[i]++;
|
||||
}
|
||||
m_ulValue[0]=m_ulValue[0]<<1;
|
||||
m_ulValue[0]++;
|
||||
for(i = 0; i <550;i++)
|
||||
{
|
||||
//if(Mod(PrimeTable[i]) == 0)
|
||||
// goto begin;
|
||||
}
|
||||
//CBigInt S,A,I,K;
|
||||
//K.Mov(*this);
|
||||
//K.m_ulValue[0]--;
|
||||
for(i=0;i<5;i++)
|
||||
{
|
||||
//A.Mov(rand()*rand());
|
||||
//S.Mov(K.Div(2));
|
||||
//I.Mov(A.RsaTrans(S,*this));
|
||||
//if(((I.m_nLength!=1) || (I.m_ulValue[0]!=1))&&(I.Cmp(K)!=0))
|
||||
// goto begin;
|
||||
}
|
||||
}
|
||||
|
||||
// 生成伪素数
|
||||
const int MAX_ROW = 50;
|
||||
size_t Pseudoprime()
|
||||
{
|
||||
bool ifprime = false;
|
||||
size_t a = 0;
|
||||
int arr[MAX_ROW]; //数组arr为{3，4，5，6...52}
|
||||
for (int i = 0; i<MAX_ROW; ++i)
|
||||
{
|
||||
arr[i] = i+3;
|
||||
}
|
||||
while (!ifprime)
|
||||
{
|
||||
srand((unsigned)time(0));
|
||||
ifprime = true;
|
||||
a = (rand()%10000)*2+3; //生成一个范围在3到2003里的奇数
|
||||
for (int j = 0; j<MAX_ROW; ++j)
|
||||
{
|
||||
if (a%arr[j] == 0)
|
||||
{
|
||||
ifprime = false;
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
return a;
|
||||
}
|
||||
|
||||
size_t repeatMod(size_t base, size_t n, size_t mod)//模重复平方算法求(b^n)%m
|
||||
{
|
||||
size_t a = 1;
|
||||
while(n)
|
||||
{
|
||||
if(n&1)
|
||||
{
|
||||
a = (a*base)%mod;
|
||||
}
|
||||
base = (base*base)%mod;
|
||||
n = n>>1;
|
||||
}
|
||||
return a;
|
||||
}
|
||||
|
||||
//Miller-Rabin素数检测
|
||||
bool rabinmiller(size_t n, size_t k)
|
||||
{
|
||||
|
||||
int s = 0;
|
||||
int temp = n-1;
|
||||
while ((temp & 0x1) == 0 && temp)
|
||||
{
|
||||
temp = temp>>1;
|
||||
s++;
|
||||
} //将n-1表示为(2^s)*t
|
||||
size_t t = temp;
|
||||
|
||||
while(k--) //判断k轮误判概率不大于(1/4)^k
|
||||
{
|
||||
srand((unsigned)time(0));
|
||||
size_t b = rand()%(n-2)+2; //生成一个b(2≤a ≤n-2)
|
||||
|
||||
size_t y = repeatMod(b,t,n);
|
||||
if (y == 1 || y == (n-1))
|
||||
return true;
|
||||
for(int j = 1; j<=(s-1) && y != (n-1); ++j)
|
||||
{
|
||||
y = repeatMod(y,2,n);
|
||||
if (y == 1)
|
||||
return false;
|
||||
}
|
||||
if ( y != (n-1))
|
||||
return false;
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
BigInt::BigInt(int size) {
|
||||
|
||||
}
|
||||
|
||||
BigInt::BigInt(int size, uint8_t *dat) {
|
||||
|
||||
}
|
||||
|
||||
BigInt BigInt::operator=(const BigInt &) {
|
||||
return BigInt(0);
|
||||
}
|
||||
|
||||
BigInt BigInt::operator>(const BigInt &) {
|
||||
return BigInt(0);
|
||||
}
|
||||
|
||||
BigInt BigInt::operator<(const BigInt &) {
|
||||
return BigInt(0);
|
||||
}
|
||||
|
||||
BigInt BigInt::operator^(const BigInt &) {
|
||||
return BigInt(0);
|
||||
}
|
||||
|
||||
string BigInt::ToString() {
|
||||
return std::__cxx11::string();
|
||||
}
|
||||
|
||||
uint8_t *BigInt::Data() {
|
||||
return mDat;
|
||||
}
|
||||
|
|
@ -0,0 +1,32 @@
|
|||
//
|
||||
// Created by 29019 on 2020/1/5.
|
||||
//
|
||||
|
||||
#ifndef GENERAL_RSA_H
|
||||
#define GENERAL_RSA_H
|
||||
|
||||
#include <memory.h>
|
||||
#include <stdint.h>
|
||||
#include <string>
|
||||
using namespace std;
|
||||
class BigInt{
|
||||
public:
|
||||
BigInt(int size);
|
||||
BigInt(int size,uint8_t *dat);
|
||||
BigInt operator=(const BigInt&);
|
||||
BigInt operator>(const BigInt&);
|
||||
BigInt operator<(const BigInt&);
|
||||
BigInt operator^(const BigInt&);
|
||||
string ToString();
|
||||
uint8_t *Data();
|
||||
private:
|
||||
uint8_t mDat[2048];
|
||||
int mSize;
|
||||
};
|
||||
|
||||
class rsa {
|
||||
|
||||
};
|
||||
|
||||
|
||||
#endif //GENERAL_RSA_H
|
||||
Binary file not shown.
Loading…
Reference in New Issue