From 8e63365a4103d400dd8d2d5bc6de8d72596737b1 Mon Sep 17 00:00:00 2001 From: a7458969 <290198252@qq.com> Date: Fri, 17 Jan 2020 02:55:33 +0800 Subject: [PATCH] =?UTF-8?q?=E6=B7=BB=E5=8A=A0RSA=E7=AE=97=E6=B3=95?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- src/encrypt/rsa.cpp | 228 ++++++++++++++++++++++++++++++++++++++++++++ src/encrypt/rsa.h | 19 ++++ 2 files changed, 247 insertions(+) create mode 100644 src/encrypt/rsa.cpp create mode 100644 src/encrypt/rsa.h diff --git a/src/encrypt/rsa.cpp b/src/encrypt/rsa.cpp new file mode 100644 index 0000000..9ad63e0 --- /dev/null +++ b/src/encrypt/rsa.cpp @@ -0,0 +1,228 @@ +// +// Created by 29019 on 2020/1/5. +// + +#include "rsa.h" +#include +#include +#include +#include +using namespace std; + +//小素数表,用于素数检测 +const static int PrimeTable[550]= + { 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, + 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, + 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, + 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 + }; + +static int Mod(uint8_t *dat,int size,int table){ + +} +/* +目前的做法是基于费马素性检测 +假如a是整数，p是质数，且a,p互质(即两者只有一个公约数1)，那么a的(p-1)次方除以p的余数恒等于1。 +也就是说, 如果p为素数, 那么对于任何a 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>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) { + memset(this->mDat,0,size); +} + +BigInt::BigInt(int size, uint8_t *dat) { + memcpy(this->mDat,dat,size); +} + +bool BigInt::operator=(BigInt &cmp) { + return memcmp((const void *)cmp.Data(), + (const void *)this->Data(),this->mSize); +} + +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(); +} + +const uint8_t *BigInt::Data() { + return mDat; +} diff --git a/src/encrypt/rsa.h b/src/encrypt/rsa.h new file mode 100644 index 0000000..2c6badb --- /dev/null +++ b/src/encrypt/rsa.h @@ -0,0 +1,19 @@ +// +// Created by 29019 on 2020/1/5. +// + +#ifndef GENERAL_RSA_H +#define GENERAL_RSA_H + +#include +#include +#include + + +using namespace std; +class rsa { + +}; + + +#endif //GENERAL_RSA_H