Reverse常见算法

1byte->2**n bytes

  • 非对称加密:RSA ECC SM2 SM9
  • 哈希:MD5 SHA SM3
  • base58(整除)

1byte->n bytes

  • 分组:SM1 SM4 SM7
  • base16,32,64,85

1byte->1 byte

  • 替换密码
  • RC4 ZUC

base64

核心:三转四

补充一下我对倒数第四行的的困惑及解释:字母和3进行与操作只保留字母的二进制最后两位,左移4相当于给低四位加0,一共是六位;后半部分直接右移4,相当于只剩4位,两数取或运算后面的数虽然只有4位,但前面可以补0,且一个数跟0进行或运算取决于它自身,所以一共是6位

有时候会是下面的形式,主要一下子没看出来,记录一下。发现>>2和&0x3f还是在的,另外一些用位操作代替了,且对字符串的长度根据%3的余数做了分类

也有这种位运算之后全是&0x3f的

%3和=告诉我下面的也是base64

RC4

1.先初始化状态向量S(用来作为密钥流生成的种子1)

2.初始密钥key(由用户输入),长度任意,如果输入长度小于256个字节,则进行循环,直到填满k,有时候k用t来表示

3.开始对状态向量S进行置换操作(用来打乱初始种子1)

KSA

4.生成密钥

PGRA

rc4也可以&255(0xff)

在rc4中,key通常为初始化函数的中间参数,可以快速找到

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def rc4(data, key):
S = list(range(256))
j = 0
out = []

for i in range(256):
j = (j + S[i] + key[i % len(key)]) % 256
S[i], S[j] = S[j], S[i]

i = j = 0
for char in data:
i = (i + 1) % 256
j = (j + S[i]) % 256
S[i], S[j] = S[j], S[i]
out.append(char ^ S[(S[i] + S[j]) % 256])

return bytes(out)


data = bytes([0x25, 0x6F, 0x3D, 0x6C, 0xF9, 0xE0, 0xCF, 0x3F, 0x2E, 0x24, 0xC6, 0x7B, 0x81, 0xBF, 0x55, 0x4F, 0x0D, 0x99, 0x87, 0x47, 0x48, 0xF7, 0xB9, 0x98, 0xFB, 0x1B, 0x22, 0xEC, 0x84, 0x23, 0xFD, 0xB2])
key = bytes([0x43]*18)
decrypted = rc4(data, key)
print(decrypted)

%128的魔改本质上就是8位二进制数组成的密钥变为7位

TEA

常规

一种对称算法,它使用64位明文(一组密文,232位)和128位密钥(一般是432位)进行加解密

TEA系列算法中均使用一个DELTA常数,但DELTA的值对算法并无什么影响,只是为了避免不良的取值,推荐DELTA的值十六进制值为0x9e3779B9,用于保证每一轮加密都不相同

标准加密流程

  1. 将明文按64位分组,将每个分组视为一个64位的二进制数,记为V
  2. 将128位的密钥分成4个32位的子密钥,分别记为K0、K1、K2、K3
  3. 将明文分组V分为两个32位的部分,分别记为V0和V1
  4. 设定一个32位的常数delta
  5. TEA算法的加密过程包括32轮迭代,每一轮的加密过程如下:

a. 首先,累加器sum被初始化为0

b. 接着,将delta值加到sum中。delta是一个常数,其值通常为0x9e3779b9,用于增加加密的随机性
c. 然后,将V1左移4位,加上K0,再异或上(V1+sum)和(V1右移5位+K1)的值。得到的结果作为V0的新值
d. 接下来,将V0左移4位,加上K2,再异或上(V0+sum)和(V0右移5位+K3)的值。得到的结果作为V1的新值
e. 重复上述步骤32次,即完成一轮迭代。在每一轮迭代中,V0和V1的值都会被更新,其中V1的更新依赖V0,而V0的更新依赖于V1

  1. 经过32轮迭代后,得到加密后的密文,记为C0和C1
  2. 将C0和C1按顺序连接起来,得到64位的密文

算法注意点

key一般为加密函数第二个参数,sum-=0x61c88647和sum+=0x9e3779b9是等价的

循环里的l和r一般用v0和v1,这样不容易弄混

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#define DELTA 0x9e3779b9

void tea_encrypt(unsigned int* v, unsigned int* key) {
unsigned int l = v[0], r = v[1], sum = 0;
for (size_t i = 0; i < 32; i++) {
l += (((r << 4) ^ (r >> 5)) + r) ^ (sum + key[sum & 3]);
sum += DELTA;
r += (((l << 4) ^ (l >> 5)) + l) ^ (sum + key[(sum >> 11) & 3]);
}
v[0] = l;
v[1] = r;
}

//利用可逆性将加密过程逆转
void tea_decrypt(unsigned int* v, unsigned int* key) {
unsigned int l = v[0], r = v[1], sum = 0;
sum = DELTA * 32; l
for (size_t i = 0; i < 32; i++) {
r -= (((l << 4) ^ (l >> 5)) + l) ^ (sum + key[(sum >> 11) & 3]);
sum -= DELTA;
l -= (((r << 4) ^ (r >> 5)) + r) ^ (sum + key[sum & 3]);
}
v[0] = l;
v[1] = r;
}

有些时候伪代码*4但实际上并不需要,因为这时的key是一个字节

注意v0和v1到底是int还是unsigned int

有多步操作的时候一定要注意写for循环的时候也要逆向,下面每次循环都要进行异或,自然得从后往前逆

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#include <stdio.h>
#include <stdint.h>

void decrypt(uint32_t *v, uint32_t *k)
{
uint32_t v0 = v[0], v1 = v[1], i;
uint32_t delta = 0x9e3779b9;
uint32_t sum = delta * 16;
uint32_t k0 = k[0], k1 = k[1], k2 = k[2], k3 = k[3];
for (i = 0; i < 16; i++)
{
sum -= delta;
v1 -= ((v0 << 4) + k2) ^ (v0 + sum) ^ ((v0 >> 5) + k3);
v0 -= ((v1 << 4) + k0) ^ (v1 + sum) ^ ((v1 >> 5) + k1);

}
v[0] = v0; v[1] = v1;
}

unsigned int enc[10] = {
0xBC2B4DF9, 0x6213DD13, 0x89FFFCC9, 0x0FC94F7D, 0x526D1D63, 0xE341FD50, 0x97287633, 0x6BF93638,
0x83143990, 0x1F2CE22C
};

unsigned int key[4] = {
0x12345678, 0x09101112, 0x13141516, 0x15161718
};

int main() {
for (size_t i = 9; i >= 2; i-=2)
{
enc[i] ^= enc[1];
enc[i - 1] ^= enc[0];
decrypt(enc, key);
}
decrypt(enc, key);

printf("%s", enc);
}
// DASCTF{I4TH0ok_I5S0ooFunny_Isnotit?????}

tea算法会有很多魔改的地方,比如循环次数,算法中多异或几个数,下面在tea的前后还实现了交换

如果算法里面异或i的话里面的循环也要逆着写

解密脚本

由于涉及内存指针等问题,大部分用c写

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#include <stdio.h>
#include <stdlib.h>
#include <stdint.h>
void decrypt(uint32_t v[2], const uint32_t key[4]) {
uint32_t v0 = v[0], v1 = v[1], sum = 0xC6EF3720, delta = 0x9e3779b9;
for (int i = 0; i < 32; i++) {
v1 -= ((v0 << 4) + key[2]) ^ (v0 + sum) ^ ((v0 >> 5) + key[3]);
v0 -= ((v1 << 4) + key[0]) ^ (v1 + sum) ^ ((v1 >> 5) + key[1]);
sum -= delta;
}
v[0] = v0;
v[1] = v1;
}

int main() {
uint32_t key[4] = {0x11121314, 0x22232425, 0x33343536, 0x41424344};
uint32_t v5[8] = {0x38b97e28, 0xb7e510c1, 0xb4b29fae, 0x5593bbd7,0x3c2e9b9e, 0x1671c637, 0x8f3a8cb5, 0x5116e515};

for (int i = 0; i < 8; i += 2) {
decrypt(&v5[i], key);
}

for (int i = 0; i < 8; i++) {
for (int m = 0; m <= 3; m++) {
printf("%c", (v5[i] >> (8 * m)) & 0xff);
}
}

return 0;
}

tea加密的另一种模式

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#include <stdio.h>
#include <stdlib.h>
#include <stdint.h>
void decrypt(uint32_t v[2], uint32_t const key[4]) {
unsigned int i;
uint32_t v0 = v[0], v1 = v[1], delta = 0x61C88747, sum = delta * (-64);
for (i=0; i < 64; i++) {
v1 -= (((v0 << 4) ^ (v0 >> 5)) + v0) ^ (sum + key[(sum>>11) & 3])^v0;
sum += delta;
v0 -= (((v1 << 4) ^ (v1 >> 5)) + v1) ^ (sum + key[sum & 3])^v1;

}
v[0] = v0; v[1] = v1;
}

int main() {
uint32_t const k[4] = {0x5377654E,0x21726174,0x5377654E,0x21726174};
uint32_t enc[] = {0xC19EA29C,0xDC091F87,0x91F6E33B,0xF69A5C7A,0x93529F20,0x8A5B94E1,0xF91D069B,0x23B0E340};
for(int i=0; i<8; i+=2){
decrypt(&enc[i], k);
}
for (int i = 0; i < 8; i++) {
for (int m = 0; m <= 3; m++) {
printf("%c", (v5[i] >> (8 * m)) & 0xff);
}
}
return 0;
}

XTEA

从做题角度来说差别不大

XXTEA

相比xtea与tea,xxtea的复杂度更上了一层,subkey的方式变为已进行的轮数的最后两位与delta叠加的最后两位相异或,delta迭代与tea相同,常见是9轮循环,循环里面先q再p,q就是循环的次数,为6+52/(n+1)

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#define MX (((z >> 5) ^ (y << 2)) + ((y >> 3) ^ (z << 4))) ^ ((sum ^ y) + (key[(p & 3) ^ e] ^ z))
#define DELTA 0x9e3779b9

//XXTEA 加密,在处理数据流中每个数据时利用了相邻数据,使用MX函数计算加密值
static uint32_t * xxtea_uint_encrypt(uint32_t * data, size_t len, uint32_t * key) {
uint32_t n = (uint32_t)len - 1;
uint32_t z = data[n], y, p, q = 6 + 52 / (n + 1), sum = 0, e;

if (n < 1) return data;

while (0 < q--) {
sum += DELTA;
// 根据sum 计算得出0~3中的某一个数值, 用于MX中与p共同作用选择key数组中某个秘钥值
e = sum >> 2 & 3;

//遍历每个待加密的数据
for (p = 0; p < n; p++) {
//z的初值为data[len - 1],即将数据数组当做是环形队列来处理的,首尾相连,当加密data[0]时,需要用到data[len - 1],data[0],data[0 + 1],以及MX计算返回的的一个加密值,加密值与data[0]相加后达到加密的效果
y = data[p + 1];
z = data[p] += MX;
}

//当加密data[len-1]时,需要用到data[len - 2],data[len-1],data[0],以及MX计算返回的的一个加密值,加密值与data[len-1]相加后达到加密的效果
y = data[0];
z = data[n] += MX;
}

return data;
}

static uint32_t * xxtea_uint_decrypt(uint32_t * data, size_t len, uint32_t * key) {
uint32_t n = (uint32_t)len - 1;
uint32_t z, y = data[0], p, q = 6 + 52 / (n + 1), sum = q * DELTA, e;

if (n < 1) return data;

while (sum != 0) {
e = sum >> 2 & 3;

for (p = n; p > 0; p--) {
z = data[p - 1];
y = data[p] -= MX;
}

z = data[n];
y = data[0] -= MX;
sum -= DELTA;
}

return data;
}

有些没6+52/(n+1),但还是有其他特征,而且delta也很明显

下面是运行脚本

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#include <stdio.h>
#include <stdint.h>
#define DELTA 0x9e3779b9
#define MX (((z>>5^y<<2) + (y>>3^z<<4)) ^ ((sum^y) + (key[(p&3)^e] ^ z)))

void btea(uint32_t *v, int n, uint32_t const key[4]) {
uint32_t y, z, sum;
unsigned p, rounds, e;
if (n > 1) { //加密函数
rounds = 6 + 52 / n;
sum = 0;
z = v[n - 1];
do {
sum += DELTA;
e = (sum >> 2) & 3;
for (p = 0; p < n - 1; p++) {
y = v[p + 1];
z = v[p] += MX;
}
y = v[0];
z = v[n - 1] += MX;
} while (--rounds);
} else if (n < -1) { //解密函数
n = -n;
rounds = 6 + 52 / n;
sum = rounds * DELTA;
y = v[0];
do {
e = (sum >> 2) & 3;
for (p = n - 1; p > 0; p--) {
z = v[p - 1];
y = v[p] -= MX;
}
z = v[n - 1];
y = v[0] -= MX;
sum -= DELTA;
} while (--rounds);
}
}

int main() {
uint32_t v[9] = {689085350, 626885696, 1894439255, 1204672445, 1869189675, 475967424, 1932042439, 1280104741, 2808893494};
uint32_t const k[4] = {12345678, 12398712, 91283904, 12378192};
int n = 9;
btea(v, -n, k);
for (int i = 0; i < 9; i ++) {
printf("%c", v[i] & 0xff);
printf("%c", v[i] >> 8 & 0xff);
printf("%c", v[i] >> 16 & 0xff);
printf("%c", v[i] >> 24 & 0xff);
}
printf("\n");
return 0;
}
import base64
from ctypes import *

enc="F8URvwNjuAYMN6GVXvgJE1Oe2ULWWow0WThUe0k95xTg60OY"
data=list(base64.b64decode(enc))
enc=[int.from_bytes(data[i:i + 4], "little") for i in range(0,len(data),4)]
key=list(map(ord,"0M21I908n117gC1~"))
key=[int.from_bytes(key[i:i + 4], "little") for i in range(0,len(key),4)]


def MX(z, y, sum1, k, p, e):
return c_uint32(((z.value>>5^y.value<<2)+(y.value>>3^z.value<<4))^((sum1.value^y.value)+(k[(p&3)^e.value]^z.value)))
def btea(v,k,n,delta):

if n>1:
sum1=c_uint32(0)
z=c_uint32(v[n-1])
rounds=6+52//n
e=c_uint32(0)

while rounds>0:
sum1.value+=delta
e.value=((sum1.value>>2)&3)
for p in range(n-1):
y=c_uint32(v[p+1])
v[p] = c_uint32(v[p] + MX(z,y,sum1,k,p,e).value).value
z.value=v[p]

y=c_uint32(v[0])
v[n-1] = c_uint32(v[n-1] + MX(z,y,sum1,k,n-1,e).value).value
z.value=v[n-1]
rounds-=1
else:
sum1=c_uint32(0)
n=-n
rounds=6+52//(n+1)
sum1.value=rounds*delta
y=c_uint32(v[0])
e=c_uint32(0)

while rounds>0:
e.value=((sum1.value>>2)&3)
for p in range(n-1, 0, -1):
z=c_uint32(v[p-1])
v[p] = c_uint32(v[p] - MX(z,y,sum1,k,p,e).value).value
y.value=v[p]

z=c_uint32(v[n-1])
v[0] = c_uint32(v[0] - MX(z,y,sum1,k,0,e).value).value
y.value=v[0]
sum1.value-=delta
rounds-=1

return v

if __name__=='__main__':
a=enc
k= key
delta=0x9e3779b9
n=len(a)
res=btea(a,k,-n,delta)
flag=''
import libnum
for i in res:
flag+=(libnum.n2s(i)[::-1].decode())
print("ISCC{"+flag.strip()+"}")

AES

参考链接:https://zhuanlan.zhihu.com/p/78913397

AES的全称是Advanced Encryption Standard,意思是高级加密标准。它的出现主要是为了取代DES加密算法,因为都知道DES算法的密钥长度是56Bit,因此算法的理论安全强度是2的56次方。但二十世纪中后期正是计算机飞速发展的阶段,元器件制造工艺的进步使得计算机的处理能力越来越强,虽然出现了3DES的加密方法,但由于它的加密时间是DES算法的3倍多,64Bit的分组大小相对较小,所以还是不能满足人们对安全性的要求。于是1997年1月2号,美国国家标准技术研究所宣布希望征集高级加密标准,用以取代DES。AES也得到了全世界很多密码工作者的响应,先后有很多人提交了自己设计的算法。最终有5个候选算法进入最后一轮:Rijndael,Serpent,Twofish,RC6和MARS。最终经过安全性分析、软硬件性能评估等严格的步骤,Rijndael算法获胜

不同密钥长度的AES每次处理的数据块大小都是 16 字节

类型 密钥长度 密钥字节数 加密轮数
AES-128 128 bit 16 字节 10 轮
AES-192 192 bit 24 字节 12 轮
AES-256 256 bit 32 字节 14轮

以下算法以AES-128为例

算法

AES算法主要有四种操作处理,分别是轮密钥加/密钥加法层(AddRoundKey)、字节代换(SubBytes)、行位移(Shift Rows)、列混淆(Mix Column)

AES算法在处理的轮数上只有最后一轮操作与前面的轮处理有些不同,在轮处理开始前还单独进行了一次轮密钥加的处理

轮密钥加

在密钥加法层中有两个输入的参数,分别是明文和子密钥k,而且这两个输入都是128位的。在%2的扩展域中加减法与异或运算等价,所以这里只需异或

第一轮AddRoundKey

循环AddRoundKey+最后一轮AddRoundKey

字节代换

S盒是一个拥有256个字节元素的数组,可以将其定义为一维数组,也可以将其定义为16×16的二维数组,如果将其定义为二维数组,读取S盒数据的方法就是要将输入数据的每个字节的高四位作为第一个下标,低四位作为第二个下标,从S盒中取出并赋给字符

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unsigned char S[256] = {
0x63, 0x7C, 0x77, 0x7B, 0xF2, 0x6B, 0x6F, 0xC5, 0x30, 0x01, 0x67, 0x2B, 0xFE, 0xD7, 0xAB, 0x76,
0xCA, 0x82, 0xC9, 0x7D, 0xFA, 0x59, 0x47, 0xF0, 0xAD, 0xD4, 0xA2, 0xAF, 0x9C, 0xA4, 0x72, 0xC0,
0xB7, 0xFD, 0x93, 0x26, 0x36, 0x3F, 0xF7, 0xCC, 0x34, 0xA5, 0xE5, 0xF1, 0x71, 0xD8, 0x31, 0x15,
0x04, 0xC7, 0x23, 0xC3, 0x18, 0x96, 0x05, 0x9A, 0x07, 0x12, 0x80, 0xE2, 0xEB, 0x27, 0xB2, 0x75,
0x09, 0x83, 0x2C, 0x1A, 0x1B, 0x6E, 0x5A, 0xA0, 0x52, 0x3B, 0xD6, 0xB3, 0x29, 0xE3, 0x2F, 0x84,
0x53, 0xD1, 0x00, 0xED, 0x20, 0xFC, 0xB1, 0x5B, 0x6A, 0xCB, 0xBE, 0x39, 0x4A, 0x4C, 0x58, 0xCF,
0xD0, 0xEF, 0xAA, 0xFB, 0x43, 0x4D, 0x33, 0x85, 0x45, 0xF9, 0x02, 0x7F, 0x50, 0x3C, 0x9F, 0xA8,
0x51, 0xA3, 0x40, 0x8F, 0x92, 0x9D, 0x38, 0xF5, 0xBC, 0xB6, 0xDA, 0x21, 0x10, 0xFF, 0xF3, 0xD2,
0xCD, 0x0C, 0x13, 0xEC, 0x5F, 0x97, 0x44, 0x17, 0xC4, 0xA7, 0x7E, 0x3D, 0x64, 0x5D, 0x19, 0x73,
0x60, 0x81, 0x4F, 0xDC, 0x22, 0x2A, 0x90, 0x88, 0x46, 0xEE, 0xB8, 0x14, 0xDE, 0x5E, 0x0B, 0xDB,
0xE0, 0x32, 0x3A, 0x0A, 0x49, 0x06, 0x24, 0x5C, 0xC2, 0xD3, 0xAC, 0x62, 0x91, 0x95, 0xE4, 0x79,
0xE7, 0xC8, 0x37, 0x6D, 0x8D, 0xD5, 0x4E, 0xA9, 0x6C, 0x56, 0xF4, 0xEA, 0x65, 0x7A, 0xAE, 0x08,
0xBA, 0x78, 0x25, 0x2E, 0x1C, 0xA6, 0xB4, 0xC6, 0xE8, 0xDD, 0x74, 0x1F, 0x4B, 0xBD, 0x8B, 0x8A,
0x70, 0x3E, 0xB5, 0x66, 0x48, 0x03, 0xF6, 0x0E, 0x61, 0x35, 0x57, 0xB9, 0x86, 0xC1, 0x1D, 0x9E,
0xE1, 0xF8, 0x98, 0x11, 0x69, 0xD9, 0x8E, 0x94, 0x9B, 0x1E, 0x87, 0xE9, 0xCE, 0x55, 0x28, 0xDF,
0x8C, 0xA1, 0x89, 0x0D, 0xBF, 0xE6, 0x42, 0x68, 0x41, 0x99, 0x2D, 0x0F, 0xB0, 0x54, 0xBB, 0x16};
unsigned char inv_S[256] = {
0x52, 0x09, 0x6A, 0xD5, 0x30, 0x36, 0xA5, 0x38, 0xBF, 0x40, 0xA3, 0x9E, 0x81, 0xF3, 0xD7, 0xFB,
0x7C, 0xE3, 0x39, 0x82, 0x9B, 0x2F, 0xFF, 0x87, 0x34, 0x8E, 0x43, 0x44, 0xC4, 0xDE, 0xE9, 0xCB,
0x54, 0x7B, 0x94, 0x32, 0xA6, 0xC2, 0x23, 0x3D, 0xEE, 0x4C, 0x95, 0x0B, 0x42, 0xFA, 0xC3, 0x4E,
0x08, 0x2E, 0xA1, 0x66, 0x28, 0xD9, 0x24, 0xB2, 0x76, 0x5B, 0xA2, 0x49, 0x6D, 0x8B, 0xD1, 0x25,
0x72, 0xF8, 0xF6, 0x64, 0x86, 0x68, 0x98, 0x16, 0xD4, 0xA4, 0x5C, 0xCC, 0x5D, 0x65, 0xB6, 0x92,
0x6C, 0x70, 0x48, 0x50, 0xFD, 0xED, 0xB9, 0xDA, 0x5E, 0x15, 0x46, 0x57, 0xA7, 0x8D, 0x9D, 0x84,
0x90, 0xD8, 0xAB, 0x00, 0x8C, 0xBC, 0xD3, 0x0A, 0xF7, 0xE4, 0x58, 0x05, 0xB8, 0xB3, 0x45, 0x06,
0xD0, 0x2C, 0x1E, 0x8F, 0xCA, 0x3F, 0x0F, 0x02, 0xC1, 0xAF, 0xBD, 0x03, 0x01, 0x13, 0x8A, 0x6B,
0x3A, 0x91, 0x11, 0x41, 0x4F, 0x67, 0xDC, 0xEA, 0x97, 0xF2, 0xCF, 0xCE, 0xF0, 0xB4, 0xE6, 0x73,
0x96, 0xAC, 0x74, 0x22, 0xE7, 0xAD, 0x35, 0x85, 0xE2, 0xF9, 0x37, 0xE8, 0x1C, 0x75, 0xDF, 0x6E,
0x47, 0xF1, 0x1A, 0x71, 0x1D, 0x29, 0xC5, 0x89, 0x6F, 0xB7, 0x62, 0x0E, 0xAA, 0x18, 0xBE, 0x1B,
0xFC, 0x56, 0x3E, 0x4B, 0xC6, 0xD2, 0x79, 0x20, 0x9A, 0xDB, 0xC0, 0xFE, 0x78, 0xCD, 0x5A, 0xF4,
0x1F, 0xDD, 0xA8, 0x33, 0x88, 0x07, 0xC7, 0x31, 0xB1, 0x12, 0x10, 0x59, 0x27, 0x80, 0xEC, 0x5F,
0x60, 0x51, 0x7F, 0xA9, 0x19, 0xB5, 0x4A, 0x0D, 0x2D, 0xE5, 0x7A, 0x9F, 0x93, 0xC9, 0x9C, 0xEF,
0xA0, 0xE0, 0x3B, 0x4D, 0xAE, 0x2A, 0xF5, 0xB0, 0xC8, 0xEB, 0xBB, 0x3C, 0x83, 0x53, 0x99, 0x61,
0x17, 0x2B, 0x04, 0x7E, 0xBA, 0x77, 0xD6, 0x26, 0xE1, 0x69, 0x14, 0x63, 0x55, 0x21, 0x0C, 0x7D};

动态生成S盒代码

x = 2 * x;

if (x & 0x80) x ^= 0x1B;

inv = gf_inverse(x);

y = affine(inv) ^ 0x63;

行位移

只在4×4矩阵的行间进行操作,每行4字节的数据。在加密时,保持矩阵的第一行不变,第二行向左移一个字节、第三行向左移2个字节、第四行向左移3个字节

这里1 -> 5 -> 9 -> 13指的是下标,对应第二行左移1字节

列混淆

列混淆是AES算法中最为复杂的部分,属于扩散层;列混淆操作是AES算法中主要的扩散元素,它混淆了输入矩阵的每一列,使输入的每个字节都会影响到4个输出字节

在加密的正向列混淆中,要将输入的4×4矩阵左乘一个给定的4×4矩阵。而它们之间的加法、乘法都在扩展域GF(2^8)中进行,所以可以将这一个步骤分成两个部分进行讲解

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const unsigned char MixArray[4][4] =
{
0x02, 0x03, 0x01, 0x01,
0x01, 0x02, 0x03, 0x01,
0x01, 0x01, 0x02, 0x03,
0x03, 0x01, 0x01, 0x02
};

int MixColum(unsigned char(*PlainArray)[4])
{
int ret = 0;

unsigned char ArrayTemp[4][4];

memcpy(ArrayTemp, PlainArray, 16);

for (int i = 0; i < 4; i++)
{
for (int j = 0; j < 4; j++)
{
PlainArray[i][j] =
MixArray[i][0] * ArrayTemp[0][j] +
MixArray[i][1] * ArrayTemp[1][j] +
MixArray[i][2] * ArrayTemp[2][j] +
MixArray[i][3] * ArrayTemp[3][j];
}
}
return ret;
}

在矩阵乘法中,出现了加法和乘法运算,在扩展域中加法操作等同于异或运算,而乘法操作需要一个特殊的方式进行处理,于是先把代码中的加号换成异或符号,然后将伽罗瓦域的乘法定义成一个有两个参数的函数,并返回最后计算结果。于是列混淆的代码就会变成下面的样子

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const unsigned char MixArray[4][4] =
{
0x02, 0x03, 0x01, 0x01,
0x01, 0x02, 0x03, 0x01,
0x01, 0x01, 0x02, 0x03,
0x03, 0x01, 0x01, 0x02
};

int MixColum(unsigned char(*PlainArray)[4]){
int ret = 0;
//定义变量
unsigned char ArrayTemp[4][4];

//初始化变量
memcpy(ArrayTemp, PlainArray, 16);

//矩阵乘法 4*4
for (int i = 0; i < 4; i++)
{
for (int j = 0; j < 4; j++)
{
PlainArray[i][j] =
GaloisMultiplication(MixArray[i][0], ArrayTemp[0][j]) ^
GaloisMultiplication(MixArray[i][1], ArrayTemp[1][j]) ^
GaloisMultiplication(MixArray[i][2], ArrayTemp[2][j]) ^
GaloisMultiplication(MixArray[i][3], ArrayTemp[3][j]);
}
}
return ret;
}
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char GaloisMultiplication(unsigned char Num_L, unsigned char Num_R){
//定义变量
unsigned char Result = 0; //伽罗瓦域内乘法计算的结果

while (Num_L)
{
//如果Num_L最低位是1就异或Num_R,相当于加上Num_R * 1
if (Num_L & 0x01)
{
Result ^= Num_R;
}

//Num_L右移一位,相当于除以2
Num_L = Num_L >> 1;

//如果Num_R最高位为1
if (Num_R & 0x80)
{
//左移一位相当于乘二
Num_R = Num_R << 1; //注:这里会丢失最高位,但是不用担心

Num_R ^= 0x1B; //计算伽罗瓦域内除法Num_R = Num_R / (x^8(刚好丢失最高位) + x^4 + x^3 + x^1 + 1)
}
else
{
//左移一位相当于乘二
Num_R = Num_R << 1;
}
}
return Result;
}

SIMD 向量化写法实现GF(2^8) 线性变换

密钥生成

子密钥生成以列为单位进行,一列是32位,四列组成子密钥共128位。生成子密钥的数量比AES算法的轮数多一个,因为第一个密钥加法层进行密钥漂白时也需要子密钥。密钥漂白指在AES的输入和输出中都使用的子密钥XOR加法。子密钥在图中都存储在W[0]、W[1]到W[43]的扩展密钥数组之中

k1-k16表示原始密钥对应的字节,在生成的扩展密钥中W的下标如果是4的倍数时需要对异或的参数进行G函数处理

扩展密钥生成有关公式如下

图中子密钥k0与原始子密钥相同

G函数首先将4个输入字节进行翻转,并执行一个按字节的S盒代换,最后用第一个字节与轮系数Rcon进行异或运算。轮系数是一个有10个元素的一维数组,一个元素1个字节。G()函数存在的目的有两个,一是增加密钥编排中的非线性;二是消除AES中的对称性。这两种属性都是抵抗某些分组密码攻击必要的

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// 用于密钥扩展 Rcon[0]作为填充,没有实际用途
const unsigned int Rcon[11] = { 0x00, 0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x1B, 0x36 };

/**
* @brief 对扩展密钥矩阵的指定列进行 S 盒替换
*/
int Key_S_Substitution(unsigned char (*ExtendKeyArray)[44], unsigned int nCol) {
int ret = 0;

for (int i = 0; i < 4; i++) {
// 使用 S_Table 进行字节替换,高 4 位为行索引,低 4 位为列索引
ExtendKeyArray[i][nCol] = S_Table[(ExtendKeyArray[i][nCol]) >> 4][(ExtendKeyArray[i][nCol]) & 0x0F];
}

return ret;
}

/**
* @brief G 函数:包含循环左移、S 盒替换和异或轮常数
*/
int G_Function(unsigned char (*ExtendKeyArray)[44], unsigned int nCol) {
int ret = 0;

// 1. 字循环 (RotWord):将 nCol-1 列复制到 nCol 列,并循环左移一个字节
for (int i = 0; i < 4; i++) {
ExtendKeyArray[i][nCol] = ExtendKeyArray[(i + 1) % 4][nCol - 1];
}

// 2. 字节代换 (SubWord):将 nCol 列进行 S 盒替换
Key_S_Substitution(ExtendKeyArray, nCol);

// 3. 轮常数异或 (Rcon):将该列第一行元素与 Rcon 进行异或
ExtendKeyArray[0][nCol] ^= Rcon[nCol / 4];

return ret;
}

/**
* @brief 生成完整的扩展密钥矩阵 (AES-128 对应 44 列)
*/
int CalculateExtendKeyArray(const unsigned char (*PasswordArray)[4], unsigned char (*ExtendKeyArray)[44]) {
int ret = 0;

// 1. 初始化:将原始密钥放入扩展密钥组的前四列 (W[0] - W[3])
for (int i = 0; i < 16; i++) {
ExtendKeyArray[i & 0x03][i >> 2] = PasswordArray[i & 0x03][i >> 2];
}

// 2. 计算后续 40 列密钥 (W[4] - W[43])
for (int i = 1; i < 11; i++) { // 进行 10 轮扩展
// (1) 如果列号是 4 的倍数 (即每组的第一列),执行 G 函数
G_Function(ExtendKeyArray, 4 * i);

// (2) 每一轮中,各列进行异和运算
// 处理每组的第一列:W[4i] = W[4(i-1)] ^ G(W[4i-1])
for (int k = 0; k < 4; k++) {
ExtendKeyArray[k][4 * i] = ExtendKeyArray[k][4 * i] ^ ExtendKeyArray[k][4 * (i - 1)];
}

// 处理该轮的其他三列:W[j] = W[j-1] ^ W[j-4]
for (int j = 1; j < 4; j++) {
for (int k = 0; k < 4; k++) {
ExtendKeyArray[k][4 * i + j] = ExtendKeyArray[k][4 * i + j - 1] ^ ExtendKeyArray[k][4 * (i - 1) + j];
}
}
}

return ret;
}

填充

下面是几种典型的填充方式:

NoPadding: 不做任何填充,但是要求明文必须是16字节的整数倍

PKCS5Padding(默认): 如果明文块少于16个字节,在明文块末尾补足相应数量的字符,且每个字节的值等于缺少的字符数。 比如明文:{1,2,3,4,5,a,b,c,d,e},缺少6个字节,则补全为{1,2,3,4,5,a,b,c,d,e,6,6,6,6,6,6 }

PKCS7Padding原理与PKCS5Padding相似,区别是PKCS5Padding的blocksize为8字节,而PKCS7Padding的blocksize可以为1到255字节

ISO10126Padding:如果明文块少于16个字节(128bit),在明文块末尾补足相应数量的字节,最后一个字符值等于缺少的字符数,其他字符填充随机数。比如明文:{1,2,3,4,5,a,b,c,d,e},缺少6个字节,则可能补全为{1,2,3,4,5,a,b,c,d,e,5,c,3,G,$,6}

模式

AES的工作模式,体现在把明文块加密成密文块的处理过程中,AES加密算法主要提供了六种不同的工作模式

CTR,CFB,OFB都是最后一步异或才用到明文,所以明密文长度相同

iv长度并不固定,当iv长度为 96 bit 时,算法可直接将其与 32 bit 计数器初值 0x00000001 拼接形成初始计数块 J0

代码

标准aes+base64

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import base64
from Crypto.Cipher import AES
from Crypto.Util.Padding import unpad

key = 0x554B134A029DE539438BD18604BF114

key_bytes = key.to_bytes(16, byteorder='big')
#print(key_bytes)

encrypted_data = "2e8Ugcv8lKVhL3gkv3grJGNE3UqkjlvKqCgJSGRNHHEk98Kd0wv6s60GpAUsU+8Q"
encrypted_bytes = base64.b64decode(encrypted_data)
cipher = AES.new(key_bytes, AES.MODE_ECB)

try:
decrypted_data = unpad(cipher.decrypt(encrypted_bytes), AES.block_size)
print("解密结果:", decrypted_data.decode('utf-8'))
except (ValueError, KeyError):
print("解密失败或填充错误!")

这是魔改s盒的代码,密文只能16位一组解密,密文按顺序提取即可

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class IAES:
global new_s_box
def __init__(self):
self.Nk = 4
self.Nb = 4
self.Nr = 10

def arrays(self, raws):
Nb = []
for i in range(4):
Nb = Nb + [raws[4 * 0 + i], raws[4 * 1 + i], raws[4 * 2 + i], raws[4 * 3 + i]]
return Nb

def Inv_arrays(self, raws):
Inv_raws = []
for i in range(4):
Inv_raws = Inv_raws + [raws[4 * 0 + i], raws[4 * 1 + i], raws[4 * 2 + i], raws[4 * 3 + i]]
return Inv_raws

def view(self, raws):
raws = self.Inv_arrays(raws)
raws = ''.join([x.to_bytes(1, byteorder='big').hex() for x in raws])
print(raws)

def view2(self, list):
for i in range(len(list)):
print(format(list[i], '2x'), end=' ')
if i & 3 == 3: # i%4 == 3
print('\n', end='')
print('\n', end='')

def AddRoundKey(self, raws, Keys):
AddRoundKey = []
for raw, Key in zip(raws, Keys):
AddRoundKey.append(raw ^ Key)
return AddRoundKey

def SubBytes(self, raws):
S_box=new_s_box
raws_S_box = []
for raw in raws:
raws_S_box.append(S_box[raw])
return raws_S_box

def InvSubBytes(self, raws,inv_s_box):
IS_box = inv_s_box
raws_IS_box = []
for raw in raws:
raws_IS_box.append(IS_box[raw])
return raws_IS_box

def InvShiftRows(self, raws):
s13 = raws.pop(7)
raws.insert(4, s13)
s2223 = raws[10:12]
del raws[10:12]
raws[8:0] = s2223
s313233 = raws[13:16]
del raws[13:16]
raws[12:0] = s313233
return raws

def GMUL(self, a, b): # Russian Peasant Multiplication algorithm
p = 0
while a and b:
if b & 1: # b%2
p = p ^ a
if a & 0x80: # a=a*x^7(a>0),a >= 2**7(128)
a = (a << 1) ^ 0x11b # 0x11b = x^8 + x^4 + x^3 + x + 1 (0b100011011)
else:
a = a << 1
b = b >> 1
return p

def InvMixColumns(self, raws):
for i in range(4):
raws[0 * 4 + i], \
raws[1 * 4 + i], \
raws[2 * 4 + i], \
raws[3 * 4 + i] \
= \
self.GMUL(0x0e, raws[0 * 4 + i]) ^ self.GMUL(0x0b, raws[1 * 4 + i]) ^ self.GMUL(0x0d, raws[
2 * 4 + i]) ^ self.GMUL(0x09, raws[3 * 4 + i]), \
self.GMUL(0x09, raws[0 * 4 + i]) ^ self.GMUL(0x0e, raws[1 * 4 + i]) ^ self.GMUL(0x0b, raws[
2 * 4 + i]) ^ self.GMUL(0x0d, raws[3 * 4 + i]), \
self.GMUL(0x0d, raws[0 * 4 + i]) ^ self.GMUL(0x09, raws[1 * 4 + i]) ^ self.GMUL(0x0e, raws[
2 * 4 + i]) ^ self.GMUL(0x0b, raws[3 * 4 + i]), \
self.GMUL(0x0b, raws[0 * 4 + i]) ^ self.GMUL(0x0d, raws[1 * 4 + i]) ^ self.GMUL(0x09, raws[
2 * 4 + i]) ^ self.GMUL(0x0e, raws[3 * 4 + i])
return raws

def RotWord(self, temp):
b0 = temp.pop(0)
temp.insert(3, b0)
return temp

def SubWord(self, temp):
temp = self.SubBytes(temp)
return temp

def KeyExpansion(self, key):
i = 0
w = [[0]] * (self.Nb * (self.Nr + 1))
Rcon = [[0x01, 0x00, 0x00, 0x00],
[0x02, 0x00, 0x00, 0x00],
[0x04, 0x00, 0x00, 0x00],
[0x08, 0x00, 0x00, 0x00],
[0x10, 0x00, 0x00, 0x00],
[0x20, 0x00, 0x00, 0x00],
[0x40, 0x00, 0x00, 0x00],
[0x80, 0x00, 0x00, 0x00],
[0x1B, 0x00, 0x00, 0x00],
[0x36, 0x00, 0x00, 0x00]
]
while i < self.Nk:
w[i] = ([key[4 * i], key[4 * i + 1], key[4 * i + 2], key[4 * i + 3]])
i = i + 1

i = self.Nk

while i < self.Nb * (self.Nr + 1):
temp = w[i - 1].copy()
if i % self.Nk == 0:
temp = self.SubWord(self.RotWord(temp))
temp2 = []
for temp1, Rcon1 in zip(temp, Rcon[(i // self.Nk) - 1]):
temp2.append(temp1 ^ Rcon1)
temp = temp2
elif self.Nk > 6 and i % self.Nk == 4:
temp = self.SubWord(temp)
w_temp = []
for w1, temp1 in zip(w[i - self.Nk], temp):
w_temp.append(w1 ^ temp1)
w[i] = w_temp
i = i + 1
return w

def IAES(self, IInput, Cipher_Key,inv_s_box):
IInput = [IInput1 for IInput1 in IInput]
Cipher_Key = [Cipher_Key1 for Cipher_Key1 in Cipher_Key]
KeyExpansion = self.KeyExpansion(Cipher_Key)
keys = []
for Key_index in range(len(KeyExpansion) // 4):
keys_temp = (KeyExpansion[4 * Key_index] + KeyExpansion[4 * Key_index + 1] + KeyExpansion[
4 * Key_index + 2] + KeyExpansion[4 * Key_index + 3])
keys_temp = self.arrays(keys_temp)
keys.append(keys_temp)
IInput = self.arrays(IInput)
self.view(IInput)
self.view(keys[-1])
IInput = self.AddRoundKey(IInput, keys[-1])
self.view(IInput)
for index in range(self.Nr - 1):
IInput = self.InvShiftRows(IInput)
self.view(IInput)
IInput = self.InvSubBytes(IInput,inv_s_box)
self.view(IInput)
self.view(keys[-1 - 1 - index])
IInput = self.AddRoundKey(IInput, keys[-1 - 1 - index])
self.view(IInput)
IInput = self.InvMixColumns(IInput)
self.view(IInput)
IInput = self.InvShiftRows(IInput)
self.view(IInput)
IInput = self.InvSubBytes(IInput,inv_s_box)
self.view(IInput)
self.view(keys[0])
IInput = self.AddRoundKey(IInput, keys[0])
self.view(IInput)
IInput = self.Inv_arrays(IInput)
IInput = bytes(IInput)
return IInput


S_box = [
0x63, 0x7c, 0x77, 0x7b, 0xf2, 0x6b, 0x6f, 0xc5, 0x30, 0x01, 0x67, 0x2b, 0xfe, 0xd7, 0xab, 0x76,
0xca, 0x82, 0xc9, 0x7d, 0xfa, 0x59, 0x47, 0xf0, 0xad, 0xd4, 0xa2, 0xaf, 0x9c, 0xa4, 0x72, 0xc0,
0xb7, 0xfd, 0x93, 0x26, 0x36, 0x3f, 0xf7, 0xcc, 0x34, 0xa5, 0xe5, 0xf1, 0x71, 0xd8, 0x31, 0x15,
0x04, 0xc7, 0x23, 0xc3, 0x18, 0x96, 0x05, 0x9a, 0x07, 0x12, 0x80, 0xe2, 0xeb, 0x27, 0xb2, 0x75,
0x09, 0x83, 0x2c, 0x1a, 0x1b, 0x6e, 0x5a, 0xa0, 0x52, 0x3b, 0xd6, 0xb3, 0x29, 0xe3, 0x2f, 0x84,
0x53, 0xd1, 0x00, 0xed, 0x20, 0xfc, 0xb1, 0x5b, 0x6a, 0xcb, 0xbe, 0x39, 0x4a, 0x4c, 0x58, 0xcf,
0xd0, 0xef, 0xaa, 0xfb, 0x43, 0x4d, 0x33, 0x85, 0x45, 0xf9, 0x02, 0x7f, 0x50, 0x3c, 0x9f, 0xa8,
0x51, 0xa3, 0x40, 0x8f, 0x92, 0x9d, 0x38, 0xf5, 0xbc, 0xb6, 0xda, 0x21, 0x10, 0xff, 0xf3, 0xd2,
0xcd, 0x0c, 0x13, 0xec, 0x5f, 0x97, 0x44, 0x17, 0xc4, 0xa7, 0x7e, 0x3d, 0x64, 0x5d, 0x19, 0x73,
0x60, 0x81, 0x4f, 0xdc, 0x22, 0x2a, 0x90, 0x88, 0x46, 0xee, 0xb8, 0x14, 0xde, 0x5e, 0x0b, 0xdb,
0xe0, 0x32, 0x3a, 0x0a, 0x49, 0x06, 0x24, 0x5c, 0xc2, 0xd3, 0xac, 0x62, 0x91, 0x95, 0xe4, 0x79,
0xe7, 0xc8, 0x37, 0x6d, 0x8d, 0xd5, 0x4e, 0xa9, 0x6c, 0x56, 0xf4, 0xea, 0x65, 0x7a, 0xae, 0x08,
0xba, 0x78, 0x25, 0x2e, 0x1c, 0xa6, 0xb4, 0xc6, 0xe8, 0xdd, 0x74, 0x1f, 0x4b, 0xbd, 0x8b, 0x8a,
0x70, 0x3e, 0xb5, 0x66, 0x48, 0x03, 0xf6, 0x0e, 0x61, 0x35, 0x57, 0xb9, 0x86, 0xc1, 0x1d, 0x9e,
0xe1, 0xf8, 0x98, 0x11, 0x69, 0xd9, 0x8e, 0x94, 0x9b, 0x1e, 0x87, 0xe9, 0xce, 0x55, 0x28, 0xdf,
0x8c, 0xa1, 0x89, 0x0d, 0xbf, 0xe6, 0x42, 0x68, 0x41, 0x99, 0x2d, 0x0f, 0xb0, 0x54, 0xbb, 0x16
]

new_s_box = [0x31, 0x52, 0x5A, 0xC8, 0x0B, 0xAC, 0xF3, 0x3A, 0x8B, 0x54, 0x27, 0x9B, 0xAB, 0x95, 0xDE, 0x83, 0x60, 0xCB,
0x53, 0x7F, 0xC4, 0xE3, 0x0A, 0x97, 0xE0, 0x29, 0xD5, 0x68, 0xC5, 0xDF, 0xF4, 0x7B, 0xAA, 0xD6, 0x42, 0x78,
0x6C, 0xE9, 0x70, 0x17, 0xD7, 0x37, 0x24, 0x49, 0x75, 0xA9, 0x89, 0x67, 0x03, 0xFA, 0xD9, 0x91, 0xB4, 0x5B,
0xC2, 0x4E, 0x92, 0xFC, 0x46, 0xB1, 0x73, 0x08, 0xC7, 0x74, 0x09, 0xAF, 0xEC, 0xF5, 0x4D, 0x2D, 0xEA, 0xA5,
0xDA, 0xEF, 0xA6, 0x2B, 0x7E, 0x0C, 0x8F, 0xB0, 0x04, 0x06, 0x62, 0x84, 0x15, 0x8E, 0x12, 0x1D, 0x44, 0xC0,
0xE2, 0x38, 0xD4, 0x47, 0x28, 0x45, 0x6E, 0x9D, 0x63, 0xCF, 0xE6, 0x8C, 0x18, 0x82, 0x1B, 0x2C, 0xEE, 0x87,
0x94, 0x10, 0xC1, 0x20, 0x07, 0x4A, 0xA4, 0xEB, 0x77, 0xBC, 0xD3, 0xE1, 0x66, 0x2A, 0x6B, 0xE7, 0x79, 0xCC,
0x86, 0x16, 0xD0, 0xD1, 0x19, 0x55, 0x3C, 0x9F, 0xFB, 0x30, 0x98, 0xBD, 0xB8, 0xF1, 0x9E, 0x61, 0xCD, 0x90,
0xCE, 0x7C, 0x8D, 0x57, 0xAE, 0x6A, 0xB3, 0x3D, 0x76, 0xA7, 0x71, 0x88, 0xA2, 0xBA, 0x4F, 0x3E, 0x40, 0x64,
0x0F, 0x48, 0x21, 0x35, 0x36, 0x2F, 0xE8, 0x14, 0x5D, 0x51, 0xD8, 0xB5, 0xFE, 0xD2, 0x96, 0x93, 0xA1, 0xB6,
0x43, 0x0D, 0x4C, 0x80, 0xC9, 0xFF, 0xA3, 0xDD, 0x72, 0x05, 0x59, 0xBF, 0x0E, 0x26, 0x34, 0x1F, 0x13, 0xE5,
0xDC, 0xF2, 0xC6, 0x50, 0x1E, 0xE4, 0x85, 0xB7, 0x39, 0x8A, 0xCA, 0xED, 0x9C, 0xBB, 0x56, 0x23, 0x1A, 0xF0,
0x32, 0x58, 0xB2, 0x65, 0x33, 0x6F, 0x41, 0xBE, 0x3F, 0x6D, 0x11, 0x00, 0xAD, 0x5F, 0xC3, 0x81, 0x25, 0xA8,
0xA0, 0x9A, 0xF6, 0xF7, 0x5E, 0x99, 0x22, 0x2E, 0x4B, 0xF9, 0x3B, 0x02, 0x7A, 0xB9, 0x5C, 0x69, 0xF8, 0x1C,
0xDB, 0x01, 0x7D, 0xFD]

new_contrary_sbox = [0] * 256

for i in range(256):
line = (new_s_box[i] & 0xf0) >> 4

rol = new_s_box[i] & 0xf

new_contrary_sbox[(line * 16) + rol] = i

print(new_contrary_sbox)
IInput = bytes.fromhex('B0CC93EAE92FEF5699396E023B4F9E42')
print(IInput)
Cipher_Key = bytes(b'user01_nkctf2024')
print(Cipher_Key)
Out = IAES().IAES(IInput, Cipher_Key,new_contrary_sbox)
print(Out)
#define _CRT_SECURE_NO_WARNINGS
#include<stdio.h>
void AddRoundKey(unsigned char *plaintext, unsigned char * CipherKey)/* 轮密钥加 */
{
for (int j = 0; j < 16; j++) plaintext[j] = plaintext[j] ^ CipherKey[j];
}
void SubBytes(unsigned char *plaintext, unsigned char *plaintextencrypt, int count)/*S 盒置换 */
{
unsigned int row, column;
unsigned char Sbox[16][16] = {
/* 0 1 2 3 4 5 6 7 8 9 a b c d e f */
0x63,0x7c,0x77,0x7b,0xf2,0x6b,0x6f,0xc5,0x30,0x01,0x67,0x2b,0xfe,0xd7,0xab,0x76,0xca,0x82,0xc9,0x7d,0xfa,0x59,0x47,0xf0,0xad,0xd4,0xa2,0xaf,0x9c,0xa4,0x72,0xc0,0xb7,0xfd,0x93,0x26,0x36,0x3f,0xf7,0xcc,0x34,0xa5,0xe5,0xf1,0x71,0xd8,0x31,0x15,0x04,0xc7,0x23,0xc3,0x18,0x96,0x05,0x9a,0x07,0x12,0x80,0xe2,0xeb,0x27,0xb2,0x75,0x09,0x83,0x2c,0x1a,0x1b,0x6e,0x5a,0xa0,0x52,0x3b,0xd6,0xb3,0x29,0xe3,0x2f,0x84,0x53,0xd1,0x00,0xed,0x20,0xfc,0xb1,0x5b,0x6a,0xcb,0xbe,0x39,0x4a,0x4c,0x58,0xcf,0xd0,0xef,0xaa,0xfb,0x43,0x4d,0x33,0x85,0x45,0xf9,0x02,0x7f,0x50,0x3c,0x9f,0xa8,0x51,0xa3,0x40,0x8f,0x92,0x9d,0x38,0xf5,0xbc,0xb6,0xda,0x21,0x10,0xff,0xf3,0xd2,0xcd,0x0c,0x13,0xec,0x5f,0x97,0x44,0x17,0xc4,0xa7,0x7e,0x3d,0x64,0x5d,0x19,0x73,0x60,0x81,0x4f,0xdc,0x22,0x2a,0x90,0x88,0x46,0xee,0xb8,0x14,0xde,0x5e,0x0b,0xdb,0xe0,0x32,0x3a,0x0a,0x49,0x06,0x24,0x5c,0xc2,0xd3,0xac,0x62,0x91,0x95,0xe4,0x79,0xe7,0xc8,0x37,0x6d,0x8d,0xd5,0x4e,0xa9,0x6c,0x56,0xf4,0xea,0x65,0x7a,0xae,0x08,0xba,0x78,0x25,0x2e,0x1c,0xa6,0xb4,0xc6,0xe8,0xdd,0x74,0x1f,0x4b,0xbd,0x8b,0x8a,0x70,0x3e,0xb5,0x66,0x48,0x03,0xf6,0x0e,0x61,0x35,0x57,0xb9,0x86,0xc1,0x1d,0x9e,0xe1,0xf8,0x98,0x11,0x69,0xd9,0x8e,0x94,0x9b,0x1e,0x87,0xe9,0xce,0x55,0x28,0xdf,0x8c,0xa1,0x89,0x0d,0xbf,0xe6,0x42,0x68,0x41,0x99,0x2d,0x0f,0xb0,0x54,0xbb,0x16

};// 填充 Sbox 矩阵
for (int i = 0; i < count; i++)
{
row = (plaintext[i] & 0xF0) >> 4;
column = plaintext[i] & 0x0F;
plaintextencrypt[i] = Sbox[row][column];
}
}
void SubBytesRe(unsigned char *plaintext, unsigned char *plaintextencrypt, int count)/*S 盒逆置换 */
{
unsigned int row, column;
unsigned char Sbox[16][16] = {
82, 9, 106, 213, 48, 54, 165, 56, 191, 64, 163, 158, 129, 243, 215, 251, 124, 227, 57, 130, 155, 47, 255, 135, 52, 142, 67, 68, 196, 222, 233, 203, 84, 123, 148, 50, 166, 194, 35, 61, 238, 76, 149, 11, 66, 250, 195, 78, 8, 46, 161, 102, 40, 217, 36, 178, 118, 91, 162, 73, 109, 139, 209, 37, 114, 248, 246, 100, 134, 104, 152, 22, 212, 164, 92, 204, 93, 101, 182, 146, 108, 112, 72, 80, 253, 237, 185, 218, 94, 21, 70, 87, 167, 141, 157, 132, 144, 216, 171, 0, 140, 188, 211, 10, 247, 228, 88, 5, 184, 179, 69, 6, 208, 44, 30, 143, 202, 63, 15, 2, 193, 175, 189, 3, 1, 19, 138, 107, 58, 145, 17, 65, 79, 103, 220, 234, 151, 242, 207, 206, 240, 180, 230, 115, 150, 172, 116, 34, 231, 173, 53, 133, 226, 249, 55, 232, 28, 117, 223, 110, 71, 241, 26, 113, 29, 41, 197, 137, 111, 183, 98, 14, 170, 24, 190, 27, 252, 86, 62, 75, 198, 210, 121, 32, 154, 219, 192, 254, 120, 205, 90, 244, 31, 221, 168, 51, 136, 7, 199, 49, 177, 18, 16, 89, 39, 128, 236, 95, 96, 81, 127, 169, 25, 181, 74, 13, 45, 229, 122, 159, 147, 201, 156, 239, 160, 224, 59, 77, 174, 42, 245, 176, 200, 235, 187, 60, 131, 83, 153, 97, 23, 43, 4, 126, 186, 119, 214, 38, 225, 105, 20, 99, 85, 33, 12, 125 }; // 填充 Sbox 矩阵
for (int i = 0; i < count; i++)
{
row = (plaintext[i] & 0xF0) >> 4;
column = plaintext[i] & 0x0F;
plaintextencrypt[i] = Sbox[row][column];
}
}
void ShiftRowsRe(unsigned char *plaintextencrypt)/* 行移位的逆 */
{
unsigned char temp = 0;
for (int i = 0; i < 4; i++)// 第 i 行
{
for (int j = 0; j < 4 - i; j++)// 第 j 次左移
{
temp = plaintextencrypt[i];
for (int k = 0; k < 4; k++)
plaintextencrypt[i + 4 * k] = plaintextencrypt[i + 4 * (k + 1)];
plaintextencrypt[i + 12] = temp;
}
}
}
void ShiftRows(unsigned char *plaintextencrypt)/* 行移位 */
{
unsigned char temp = 0;
for (int i = 0; i < 4; i++)// 第 i 行
{
for (int j = 0; j < i; j++)// 第 j 次左移
{
temp = plaintextencrypt[i];
for (int k = 0; k < 4; k++)
plaintextencrypt[i + 4 * k] = plaintextencrypt[i + 4 * (k + 1)];
plaintextencrypt[i + 12] = temp;
}
}
}
unsigned char Mult2(unsigned char num)/* 列混淆 */
{
unsigned char temp = num << 1;
if ((num >> 7) & 0x01)
temp = temp ^ 27;
return temp;
}
unsigned char Mult3(unsigned char num)
{
return Mult2(num) ^ num;
}
void MixColumns(unsigned char *plaintextencrypt, unsigned char *plaintextcrypt)
{
int i;
for (i = 0; i < 4; i++)
plaintextcrypt[4 * i] = Mult2(plaintextencrypt[4 * i]) ^ Mult3(plaintextencrypt[4 * i + 1]) ^ plaintextencrypt[4 * i + 2] ^ plaintextencrypt[4 * i + 3];
for (i = 0; i < 4; i++)
plaintextcrypt[4 * i + 1] = plaintextencrypt[4 * i] ^ Mult2(plaintextencrypt[4 * i + 1]) ^ Mult3(plaintextencrypt[4 * i + 2]) ^ plaintextencrypt[4 * i + 3];
for (i = 0; i < 4; i++)
plaintextcrypt[4 * i + 2] = plaintextencrypt[4 * i] ^ plaintextencrypt[4 * i + 1] ^ Mult2(plaintextencrypt[4 * i + 2]) ^ Mult3(plaintextencrypt[4 * i + 3]);
for (i = 0; i < 4; i++)
plaintextcrypt[4 * i + 3] = Mult3(plaintextencrypt[4 * i]) ^ plaintextencrypt[4 * i + 1] ^ plaintextencrypt[4 * i + 2] ^ Mult2(plaintextencrypt[4 * i + 3]);
}
/* 逆列混淆 */
#define xtime(x) ((x<<1) ^ (((x>>7) & 1) * 0x1b))
#define Multiply(x,y) (((y & 1) * x) ^ ((y>>1 & 1) * xtime(x)) ^ ((y>>2 & 1) * xtime(xtime(x))) ^ ((y>>3 & 1) * xtime(xtime(xtime(x)))) ^ ((y>>4 & 1) * xtime(xtime(xtime(xtime(x))))))
void MixColumnsRe(unsigned char *state)
{

unsigned char a, b, c, d;
for (int i = 0; i < 4; i++)
{
a = state[4*i];
b = state[4*i+1];
c = state[4*i+2];
d = state[4*i+3];
state[4 * i] = Multiply(a, 0x0e) ^ Multiply(b, 0x0b) ^ Multiply(c, 0x0d) ^ Multiply(d, 0x09);
state[4 * i + 1] = Multiply(a, 0x09) ^ Multiply(b, 0x0e) ^ Multiply(c, 0x0b) ^ Multiply(d, 0x0d);
state[4 * i + 2] = Multiply(a, 0x0d) ^ Multiply(b, 0x09) ^ Multiply(c, 0x0e) ^ Multiply(d, 0x0b);
state[4 * i + 3] = Multiply(a, 0x0b) ^ Multiply(b, 0x0d) ^ Multiply(c, 0x09) ^ Multiply(d, 0x0e);
}
}
int CharToWord(unsigned char *character, int first)/* 字节转字 */
{
return (((int)character[first] & 0x000000ff) << 24) | (((int)character[first + 1] & 0x000000ff) << 16) | (((int)character[first + 2] & 0x000000ff) << 8) | ((int)character[first + 3] & 0x000000ff);
}
void WordToChar(unsigned int word, unsigned char *character)/* 字转字节 */
{
for (int i = 0; i < 4; character[i++] = (word >> (8 * (3 - i))) & 0xFF);
}
void ExtendCipherKey(unsigned int *CipherKey_word, int round)/* 密钥扩展 */
{
unsigned char CipherKeyChar[4] = { 0 },CipherKeyCharEncrypt[4] = { 0 };
unsigned int Rcon[10] = { 0x01000000,0x02000000,0x04000000,0x08000000,0x10000000,0x20000000,0x40000000,0x80000000,0x1B000000,0x36000000 }; // 轮常量
for (int i = 4; i < 8; i++)
{
if (!(i % 4))
{
WordToChar((CipherKey_word[i - 1] >> 24) | (CipherKey_word[i - 1] << 8), CipherKeyChar);
SubBytes(CipherKeyChar, CipherKeyCharEncrypt, 4);
CipherKey_word[i] = CipherKey_word[i - 4] ^ CharToWord(CipherKeyCharEncrypt, 0) ^ Rcon[round];
}
else
CipherKey_word[i] = CipherKey_word[i - 4] ^ CipherKey_word[i - 1];
}
}
#include <stdlib.h>
void genString(int size){
char *text = (char *)malloc(size * sizeof(char));
for (size_t i = 0; i < size; i++)
{
text[i]=35+i;
}
puts(text);

}
char table[]="0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ!\"#$%&'()*+,-./:;<=>?@[\\]^_`{|}~ ";
char res[]={0x36,0x35,0x34,0x33,0x3a,0x39,0x38,0x37,0x3e,0x3d,0x85,0x84,0x83,0x8a,0x89,0x88,0x87,0x8e,0x8d,0x8c,0x8b,0x92,0x91,0x90,0x8f,0x76,0x75,0x74,0x73,0x7a,0x79,0x78,0x77,0x7e,0x7d,0x7c,0xa5,0xa4,0xa3,0xaa,0xa9,0xa8,0xa7,0xae,0xad,0xac,0xab,0xb2,
0xb1,0xb0,0xaf,0x96,0x95,0x94,0x93,0x9a,0x99,0x98,0x97,0x9e,0x9d,0x9c,0x45,0x44,0x43,0x4a,0x49,0x48,0x47,0x4e,0x4d,0x4c,0x4b,0x52,0x51,0x50,0x4f,0x3c,0x3b,0x42,0x41,0x40,0x3f,0xa6,0x9b,0xa2,0xa1,0xa0,0x9f,0x86,0x7b,0x82,0x81,0x80,0x66,0x66
};
char getcc(char in){
for (size_t i = 0; i < 96; i++)
{
if (in==res[i])
{
return table[i];
}

}
}
void main()
{
printf("**************AES加解密***************\n");
int i = 0, k;
unsigned mm[]={0x71,0x55,0x7f,0xa8,0xfa,0x0e,0xa3,0x19,0xa0,0x5c,0xf9,0x0e,0x9b,0x0b,0x5e,0xfc,0xb5,0xa8,0x49,0xfd,0x90,0x99,0x74,0xc7,0x77,0x02,0x6a,0xf5,0x9a,0x6a,0xba,0x7f,0xfb,0xe7,0x68,0xda,0x54,0xee,0xe8,0xbb,0x78,0x01,0xe7,0xbb,0xa2,0x95,0x95,0xfa};
unsigned char PlainText[48] ="aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa"
,
CipherKey[16] = { 0x05,0x06,0x07,0x08,0x37,0x42,0x4d,0x58,0x63,0x00,0x0a,0x0c,0x0d,0x0e,0x0f,0x10 },
CipherKey1[16] = { 0x05,0x06,0x07,0x08,0x37,0x42,0x4d,0x58,0x63,0x00,0x0a,0x0c,0x0d,0x0e,0x0f,0x10},
PlainText1[48] = {
0x71, 0x55, 0x7F, 0xA8, 0xFA, 0x0E, 0xA3, 0x19, 0xA0, 0x5C, 0xF9, 0x0E, 0x9B, 0x0B, 0x5E, 0xFC,
0xB5, 0xA8, 0x49, 0xFD, 0x90, 0x99, 0x74, 0xC7, 0x77, 0x02, 0x6A, 0xF5, 0x9A, 0x6A, 0xBA, 0x7F,
0xFB, 0xE7, 0x68, 0xDA, 0x54, 0xEE, 0xE8, 0xBB, 0x78, 0x01, 0xE7, 0xBB, 0xA2, 0x95, 0x95, 0xFA

},
PlainText2[48] = { 0x71, 0x55, 0x7F, 0xA8, 0xFA, 0x0E, 0xA3, 0x19, 0xA0, 0x5C, 0xF9, 0x0E, 0x9B, 0x0B, 0x5E, 0xFC,
0xB5, 0xA8, 0x49, 0xFD, 0x90, 0x99, 0x74, 0xC7, 0x77, 0x02, 0x6A, 0xF5, 0x9A, 0x6A, 0xBA, 0x7F,
0xFB, 0xE7, 0x68, 0xDA, 0x54, 0xEE, 0xE8, 0xBB, 0x78, 0x01, 0xE7, 0xBB, 0xA2, 0x95, 0x95, 0xFA
};
unsigned int CipherKey_word[44] = { 0 };
for (i = 0; i < 4; CipherKey_word[i++] = CharToWord(CipherKey, 4 * i));
printf("密钥:");
for (k = 0; k < 16; k++) printf("%2X ", CipherKey[k]);
printf("\n明文:");
for (k = 0; k < 16; k++) printf("%02X ", PlainText[k]);
printf("\n**************开始加密****************");
AddRoundKey(PlainText, CipherKey);
for (i = 0; i < 9; i++)
{
SubBytes(PlainText, PlainText1, 16);/*S 盒置换 */
ShiftRows(PlainText1); /* 行移位 */
MixColumns(PlainText1, PlainText2); /* 列混淆 */
ExtendCipherKey(CipherKey_word + 4 * i, i);/* 子密钥生成 */
for (k = 0; k < 4; k++) WordToChar(CipherKey_word[k + 4 * (i + 1)], CipherKey + 4 * k);
for (k = 0; k < 16; k++) printf("%02X ", CipherKey[k]);
AddRoundKey(PlainText2, CipherKey);/* 轮密钥加 */
for (k = 0; k < 16; k++) PlainText[k] = PlainText2[k];
}

SubBytes(PlainText, PlainText1, 16);
ShiftRows(PlainText1);
ExtendCipherKey(CipherKey_word + 4 * i, i);
for (k = 0; k < 4;WordToChar(CipherKey_word[k + 4 * (i + 1)], CipherKey + 4 * k), k++);
AddRoundKey(PlainText1, CipherKey);
printf("\n\n最终AES加密后的密文为:");
for (i = 0; i < 16; i++) printf("%02X ", PlainText1[i]);

for (size_t i = 0; i < 16; i++)
{
PlainText1[i]=mm[i]; // 解密第二段第三段偏移 1632 即可
}


printf("\n\n**************开始解密***************");
AddRoundKey(PlainText1, CipherKey);
for (i = 0; i < 9; i++)
{
SubBytesRe(PlainText1, PlainText, 16);/*S 盒置换 */
for (k = 0; k < 4; WordToChar(CipherKey_word[k + 40 - 4 * (i + 1)], CipherKey + 4 * k),k++);/* 子密钥生成 */
ShiftRowsRe(PlainText);/* 行移位逆 */
AddRoundKey(PlainText, CipherKey);/* 轮密钥加 */
MixColumnsRe(PlainText);/* 列混淆逆运算 */
for (k = 0; k < 16;PlainText1[k] = PlainText[k],k++);
}
printf("\n最后一次循环:");
ShiftRowsRe(PlainText);/* 行移位逆 */
SubBytesRe(PlainText, PlainText1, 16);/*S 盒置换 */
AddRoundKey(PlainText1, CipherKey1);
printf("\n最终AES解密后的明文为:");

//for (i = 0; i < 16; i++) printf("%c",getcc( PlainText1[i]));
for (i = 0; i < 16; i++) printf("%c",PlainText1[i]);
printf("\n");

}

思考

AES最后一轮为什么没有列混淆?

为了让解密算法能够直接复用加密算法的代码逻辑,只需要更换一下 S 盒和列混淆矩阵,而不需要改变每一轮内部的执行顺序

为什么AES算法列混淆部分要在有限域下进行?

封闭性保证数据永远是8位不超出范围;数学保证完全可逆;每一位的影响都被均匀扩散

AES算法有没有什么攻击方法?

DFA 差分故障分析: 对同一个明文加密多次,其中一次正常加密,其他多次在 AES 中间状态人为制造单字节错误。比较正确密文和错误密文的差异,就可以恢复最后一轮轮密钥,见2023巅峰极客初赛m1_read

DES

对称密码,DES使用64位的密钥和64位的明文块进行加密。DES算法的分组大小是64位,因此,如果需要加密的明文长度不足64位,需要进行填充;如果明文长度超过64位,则需要使用分组模式进行分组加密

识别主要靠常量

初始置换(IP置换)

将输入的64位明文块进行置换和重新排列,生成新的64位数据块

目的:增加加密的混乱程度,使明文中的每一位都能够对后面的加密过程产生影响,提高加密强度

我们将把64位的顺序按下表中规定的顺序放置,图中的数字是在64位明文中每个比特的索引位置

加密轮次

初始置换完成后,明文被划分成了相同长度(32位)的左右两部分,记作L0,R0。接下来就会进行16个轮次的加密

从单独一个轮次来看,首先把目光聚焦在R0这里。右半部分R0会作为下一轮次的左半部分L1的输入。其次,R0会补位到48位和本轮次生成的48位K0输入到F轮函数中去。F函数的输出结果为32位,结果F(R0,K0)会和L0进行异或运算作为下一轮次右半部分R1的输入

以此类推,重复16轮运算

拓展R到48位

将32位的R0右半部分进行扩展,得到一个48位的数据块。同样的,数据拓展也是根据一个固定的置换表。红框中就是我们要补位的数据

由此可见,扩展过程的每一位都是根据上述的置换表从输入的32位数据块中提取出来的。原始数据的第32位被补充到了新增列的第一个,第5位被补充到了第二个新增列的第一个,以此类推

子密钥k的生成

DES算法采用了每轮子密钥生成的方式来增加密钥的复杂性和安全性。每轮子密钥都是由主密钥(64位)通过密钥调度算法(Key Schedule Algorithm)生成的。DES算法的密钥调度算法可以将64位的主密钥分成16个子密钥,每个子密钥48位,用于每轮加密中与输入数据进行异或运算

通过子密钥生成的流程图来看下整个过程

主密钥,下面56位是已经删除以8为倍数的奇偶校验位

异或

当前轮次的子密钥Ki(在上面56位的基础上删除特定的8位,得到48位)与拓展的48位Ri进行异或运算。运算结果会作为接下来S盒替换的输入

S盒替换

用于将上一轮异或运算的48位结果映射到32位输出中去

6位变4位,首尾两位作为行标,中间四位作为列标,去不同的S盒对应一个小于16的数,再转化为4位二进制数

P盒代换

P盒代换将S盒替换的32位输出作为输入,经过上述固定的代换表进行代换后即为最后F轮函数的结果

逆置换

3DES

3DES顾名思义,就i是使用DES加密3次,使用3个密钥进行加解密

SM4

常数0xa3b1bac6, 0x56aa3350, 0x677d9197, 0xb27022dc

分组密码,分组长度128位,密钥长度128位,32轮迭代和一次反序变换,输入4字(16字节,换算方法是密码算法特有的)

分为密钥拓展和加/解密两个模块,下图是 SM4 的加解密(左)和密钥拓展(右)的流程图

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public class SM4 {
int[] key_r;

/* 初始化轮密钥 */
SM4(byte[] key) {
this.key_r = keyGenerate(key);
}

/* 密钥拓展 */
private int[] keyGenerate(byte[] key) {
int[] key_r = new int[32];//轮密钥rk_i
int[] key_temp = new int[4];
int box_in, box_out;//盒变换输入输出
final int[] FK = {0xa3b1bac6, 0x56aa3350, 0x677d9197, 0xb27022dc};
final int[] CK = {
0x00070e15, 0x1c232a31, 0x383f464d, 0x545b6269,
0x70777e85, 0x8c939aa1, 0xa8afb6bd, 0xc4cbd2d9,
0xe0e7eef5, 0xfc030a11, 0x181f262d, 0x343b4249,
0x50575e65, 0x6c737a81, 0x888f969d, 0xa4abb2b9,
0xc0c7ced5, 0xdce3eaf1, 0xf8ff060d, 0x141b2229,
0x30373e45, 0x4c535a61, 0x686f767d, 0x848b9299,
0xa0a7aeb5, 0xbcc3cad1, 0xd8dfe6ed, 0xf4fb0209,
0x10171e25, 0x2c333a41, 0x484f565d, 0x646b7279
};
//将输入的密钥每32比特合并,并异或FK
for (int i = 0; i < 4; i++) {
key_temp[i] = jointBytes(key[4 * i], key[4 * i + 1], key[4 * i + 2], key[4 * i + 3]);
key_temp[i] = key_temp[i] ^ FK[i];
}
//32轮密钥拓展
for (int i = 0; i < 32; i++) {
box_in = key_temp[1] ^ key_temp[2] ^ key_temp[3] ^ CK[i];
box_out = sBox(box_in);
key_r[i] = key_temp[0] ^ box_out ^ shift(box_out, 13) ^ shift(box_out, 23);
key_temp[0] = key_temp[1];
key_temp[1] = key_temp[2];
key_temp[2] = key_temp[3];
key_temp[3] = key_r[i];
}
return key_r;
}


private static byte[] sm4Main(byte[] input, int[] key_r, int mod) {
int[] text = new int[4];//32比特字
//将输入以32比特分组
for (int i = 0; i < 4; i++) {
text[i] = jointBytes(input[4 * i], input[4 * i + 1], input[4 * i + 2], input[4 * i + 3]);
}
int box_input, box_output;//盒变换输入和输出
for (int i = 0; i < 32; i++) {
int index = (mod == 0) ? i : (31 - i);//通过改变key_r的顺序改变模式
box_input = text[1] ^ text[2] ^ text[3] ^ key_r[index];
box_output = sBox(box_input);
int temp = text[0] ^ box_output ^ shift(box_output, 2) ^ shift(box_output, 10) ^ shift(box_output, 18) ^ shift(box_output, 24);
text[0] = text[1];
text[1] = text[2];
text[2] = text[3];
text[3] = temp;
}
byte[] output = new byte[16];
//将结果的32比特字拆分
for (int i = 0; i < 4; i++) {
System.arraycopy(splitInt(text[3 - i]), 0, output, 4 * i, 4);
}
return output;
}


public byte[] encrypt(byte[] plaintext) {
return sm4Main(plaintext, key_r, 0);
}


public byte[] decrypt(byte[] ciphertext) {
return sm4Main(ciphertext, key_r, 1);
}

/* 将32比特数拆分成4个8比特数 */
private static byte[] splitInt(int n) {
return new byte[]{(byte) (n >>> 24), (byte) (n >>> 16), (byte) (n >>> 8), (byte) n};
}

/* 将4个8比特数合并成32比特数 */
private static int jointBytes(byte byte_0, byte byte_1, byte byte_2, byte byte_3) {
return ((byte_0 & 0xFF) << 24) | ((byte_1 & 0xFF) << 16) | ((byte_2 & 0xFF) << 8) | (byte_3 & 0xFF);
}

/* S盒变换 */
private static int sBox(int box_input) {

final int[] SBOX = {
0xD6, 0x90, 0xE9, 0xFE, 0xCC, 0xE1, 0x3D, 0xB7, 0x16, 0xB6, 0x14, 0xC2, 0x28, 0xFB, 0x2C, 0x05, 0x2B, 0x67, 0x9A,
0x76, 0x2A, 0xBE, 0x04, 0xC3, 0xAA, 0x44, 0x13, 0x26, 0x49, 0x86, 0x06, 0x99, 0x9C, 0x42, 0x50, 0xF4, 0x91, 0xEF,
0x98, 0x7A, 0x33, 0x54, 0x0B, 0x43, 0xED, 0xCF, 0xAC, 0x62, 0xE4, 0xB3, 0x1C, 0xA9, 0xC9, 0x08, 0xE8, 0x95, 0x80,
0xDF, 0x94, 0xFA, 0x75, 0x8F, 0x3F, 0xA6, 0x47, 0x07, 0xA7, 0xFC, 0xF3, 0x73, 0x17, 0xBA, 0x83, 0x59, 0x3C, 0x19,
0xE6, 0x85, 0x4F, 0xA8, 0x68, 0x6B, 0x81, 0xB2, 0x71, 0x64, 0xDA, 0x8B, 0xF8, 0xEB, 0x0F, 0x4B, 0x70, 0x56, 0x9D,
0x35, 0x1E, 0x24, 0x0E, 0x5E, 0x63, 0x58, 0xD1, 0xA2, 0x25, 0x22, 0x7C, 0x3B, 0x01, 0x21, 0x78, 0x87, 0xD4, 0x00,
0x46, 0x57, 0x9F, 0xD3, 0x27, 0x52, 0x4C, 0x36, 0x02, 0xE7, 0xA0, 0xC4, 0xC8, 0x9E, 0xEA, 0xBF, 0x8A, 0xD2, 0x40,
0xC7, 0x38, 0xB5, 0xA3, 0xF7, 0xF2, 0xCE, 0xF9, 0x61, 0x15, 0xA1, 0xE0, 0xAE, 0x5D, 0xA4, 0x9B, 0x34, 0x1A, 0x55,
0xAD, 0x93, 0x32, 0x30, 0xF5, 0x8C, 0xB1, 0xE3, 0x1D, 0xF6, 0xE2, 0x2E, 0x82, 0x66, 0xCA, 0x60, 0xC0, 0x29, 0x23,
0xAB, 0x0D, 0x53, 0x4E, 0x6F, 0xD5, 0xDB, 0x37, 0x45, 0xDE, 0xFD, 0x8E, 0x2F, 0x03, 0xFF, 0x6A, 0x72, 0x6D, 0x6C,
0x5B, 0x51, 0x8D, 0x1B, 0xAF, 0x92, 0xBB, 0xDD, 0xBC, 0x7F, 0x11, 0xD9, 0x5C, 0x41, 0x1F, 0x10, 0x5A, 0xD8, 0x0A,
0xC1, 0x31, 0x88, 0xA5, 0xCD, 0x7B, 0xBD, 0x2D, 0x74, 0xD0, 0x12, 0xB8, 0xE5, 0xB4, 0xB0, 0x89, 0x69, 0x97, 0x4A,
0x0C, 0x96, 0x77, 0x7E, 0x65, 0xB9, 0xF1, 0x09, 0xC5, 0x6E, 0xC6, 0x84, 0x18, 0xF0, 0x7D, 0xEC, 0x3A, 0xDC, 0x4D,
0x20, 0x79, 0xEE, 0x5F, 0x3E, 0xD7, 0xCB, 0x39, 0x48
};

byte[] temp = splitInt(box_input);//拆分32比特数
byte[] output = new byte[4];//单个盒变换输出
//盒变换
for (int i = 0; i < 4; i++) {
output[i] = (byte) SBOX[temp[i] & 0xFF];
}
//将4个8位字节合并为一个字作为盒变换输出
return jointBytes(output[0], output[1], output[2], output[3]);
}

/* 将input左移n位 */
private static int shift(int input, int n) {
return (input >>> (32 - n)) | (input << n);
}
}

加解密代码

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# -*- coding: utf-8 -*-

import binascii
from gmssl import sm4


class SM4:


def __init__(self):
self.crypt_sm4 = sm4.CryptSM4() # 实例化

def str_to_hexStr(self , hex_str):
"""
字符串转hex
:param hex_str: 字符串
:return: hex
"""
hex_data = hex_str.encode('utf-8')
str_bin = binascii.unhexlify(hex_data)
return str_bin.decode('utf-8')

def encryptSM4(self , encrypt_key , value):
"""
国密sm4加密
:param encrypt_key: sm4加密key
:param value: 待加密的字符串
:return: sm4加密后的十六进制值
"""
crypt_sm4 = self.crypt_sm4
crypt_sm4.set_key(encrypt_key.encode() , sm4.SM4_ENCRYPT) # 设置密钥
date_str = str(value)
encrypt_value = crypt_sm4.crypt_ecb(date_str.encode()) # 开始加密。bytes类型
return encrypt_value.hex() # 返回十六进制值

def decryptSM4(self , decrypt_key , encrypt_value):
"""
国密sm4解密
:param decrypt_key:sm4加密key
:param encrypt_value: 待解密的十六进制值
:return: 原字符串
"""
crypt_sm4 = self.crypt_sm4
crypt_sm4.set_key(decrypt_key.encode() , sm4.SM4_DECRYPT) # 设置密钥
decrypt_value = crypt_sm4.crypt_ecb(bytes.fromhex(encrypt_value)) # 开始解密。十六进制类型
return decrypt_value.decode()
# return self.str_to_hexStr(decrypt_value.hex())


if __name__ == '__main__':
key = "C3AE5873D08418DA"
strData = '''{"addr":"","regnCode":"320100","medinsName":"","medinsLvCode":"","medinsTypeCode":"","openElec":"","pageNum":6,"pageSize":100}'''
SM4 = SM4()
print("原字符:" , strData)
encData = SM4.encryptSM4(key , strData) # 加密后的数据,返回bytes类型
print("sm4加密结果:" , encData)

decData = SM4.decryptSM4(key , encData)
print("sm4解密结果:" , decData) # 解密后的数据

MD5

参考链接:https://zhuanlan.zhihu.com/p/115270932

MD5加密的函数大致如下:

MD5_CTX md5c;(结构体)

MD5Init(&md5c);

MD5UpdateString(&md5c,plain)

MD5Final(digest,&md5c);

数据填充

MD5算法的第二步“分组循环变换”是以512位为一个分组进行处理的。因此,需要把数据填充成长度为512位的倍数。具体填充步骤如下:

1、先填充一个“1”,后面加上k个“0”。其中k是满足(n+1+k) mod 512 = 448的最小正整数。

2、追加64位的数据长度(bit为单位,小端序存放)

填充完的数据大概长这样:

分组循环变换

其中,MD5Init会初始化四个称作MD5链接变量的整形参数。因此如果看到这4个常数0x67452301、0xefcdab89、0x98badcfe、0x10325476,就应该是MD5算法了。MD5Init函数代码如下:

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void MD5Init(MD5_CTX *context)  
{
context->count[0] = 0;
context->count[1] = 0;
//Load magic initialization constants
context->state[0] = 0x67452301;
context->state[1] = 0xEFCDAB89;
context->state[2] = 0x98BADCFE;
context->state[3] = 0x10325476;
}

十进制表示如下,int最大是0x7fffffff,所以第2个和第3个为负数

然后将填充完成后的数据划分成一个个512位的分组,依次进入循环变换。A、B、C、D也参与到循环变换中。数据分组进去变换的时候,大概走这么个流程:

循环变换是整个MD5算法最核心,也是最复杂的部分。一个512位分组的数据被进一步划分为16个32位的子分组,对每个子分组进行下图所示的变换:

上面只是画出了一个子分组进行的变换。下面对图中的元素进行说明:

1.图中的F函数代表一次由位运算构成的非线性变换,每一轮循环变换用到的F函数不一样

2.常数AC的值在每一次变换中都不一样

3.左移位数S有规律地周期性变化

数据的16个子分组都参与到上图所示的变换,顺序不定。当16个子分组处理完成时,我们就说完成了一轮循环变换。MD5的一个数据分组一共需要进行四轮的循环变换。将四轮循环变换后得到的A、B、C、D的值分别和原来的值相加,就是A、B、C、D进行循环变换后的结果

拼接输出

将经过若干次循环变换后的A、B、C、D以十六进制的形式拼接起来,就是MD5码

这里是加密函数,而且也能看到hash[]

还有可能的特征

完整代码

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/*
函数使用说明:
先调用MD5Init初始化一个MD5_CTX类型结构体,再使用MD5Update计算MD5码,最后调用MD5Final获取
*/

#include<string.h>
#include<stdio.h>
typedef unsigned char *POINTER;
typedef struct {
unsigned int state[4]; /* A,B,C,D四个常数 */
unsigned int count[2]; /* 数据的bit数计数器(对2^64取余) */
unsigned char buffer[64]; /* 输入数据缓冲区 */
} MD5_CTX; //存放MD5算法相关信息的结构体定义

void MD5Init (MD5_CTX *);
void MD5Update(MD5_CTX *, unsigned char *, unsigned int);
void MD5Final(unsigned char [16], MD5_CTX *);
void MD5Transform(unsigned int [4], unsigned char [64]);
void Encode(unsigned char *, unsigned int *, unsigned int);
void Decode(unsigned int *, unsigned char *, unsigned int);

//循环左移的位数
#define S11 7
#define S12 12
#define S13 17
#define S14 22
#define S21 5
#define S22 9
#define S23 14
#define S24 20
#define S31 4
#define S32 11
#define S33 16
#define S34 23
#define S41 6
#define S42 10
#define S43 15
#define S44 21

//数据填充的内容
unsigned char PADDING[64] = {
0x80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
};

//F,G,H,I四个非线性变换函数
#define F(x, y, z) (((x) & (y)) | ((~x) & (z)))
#define G(x, y, z) (((x) & (z)) | ((y) & (~z)))
#define H(x, y, z) ((x) ^ (y) ^ (z))
#define I(x, y, z) ((y) ^ ((x) | (~z)))

//x循环左移n位的操作
#define ROTATE_LEFT(x, n) (((x) << (n)) | ((x) >> (32-(n))))

//FF,GG,HH,II是四轮循环变换分别用到的变换函数
#define FF(a, b, c, d, x, s, ac) { \
(a) += F ((b), (c), (d)) + (x) + (unsigned int)(ac); \
(a) = ROTATE_LEFT ((a), (s)); \
(a) += (b); \
}
#define GG(a, b, c, d, x, s, ac) { \
(a) += G ((b), (c), (d)) + (x) + (unsigned int)(ac); \
(a) = ROTATE_LEFT ((a), (s)); \
(a) += (b); \
}
#define HH(a, b, c, d, x, s, ac) { \
(a) += H ((b), (c), (d)) + (x) + (unsigned int)(ac); \
(a) = ROTATE_LEFT ((a), (s)); \
(a) += (b); \
}
#define II(a, b, c, d, x, s, ac) { \
(a) += I ((b), (c), (d)) + (x) + (unsigned int)(ac); \
(a) = ROTATE_LEFT ((a), (s)); \
(a) += (b); \
}


void MD5Init (MD5_CTX *context)
{
//bit计数器清零
context->count[0] = context->count[1] = 0;
//A,B,C,D被初始化为四个特定的常数(Magic Number)
context->state[0] = 0x67452301;
context->state[1] = 0xefcdab89;
context->state[2] = 0x98badcfe;
context->state[3] = 0x10325476;
}

//使用MD5算法对input的数据进行处理
void MD5Update (MD5_CTX *context, unsigned char *input, unsigned int inputLen)
{
unsigned int i, index, partLen;
//计算[已处理数据长度(byte) mod 64]
index = (unsigned int)((context->count[0] >> 3) & 0x3F);
//bit计数器累加
if ((context->count[0] += ((unsigned int)inputLen << 3))
< ((unsigned int)inputLen << 3)) //处理加法进位溢出的情况
context->count[1]++;
context->count[1] += ((unsigned int)inputLen >> 29);
//计算缓冲区还有多少字节空间
partLen = 64 - index;
//以512位数据为一组进行处理
if (inputLen >= partLen) {
memcpy(&context->buffer[index],input, partLen);
MD5Transform (context->state, context->buffer);
for (i = partLen; i + 63 < inputLen; i += 64)
MD5Transform (context->state, &input[i]);
index = 0;
}
else i = 0;
//缓存未处理的输入
memcpy(&context->buffer[index],&input[i],inputLen-i);
}

//获取MD5码(由digest返回),顺便清除context数据
void MD5Final (unsigned char digest[16], MD5_CTX *context)
{
unsigned char bits[8];
unsigned int index, padLen;
//记录数据长度
Encode (bits, context->count, 8);
//填充数据
index = (unsigned int)((context->count[0] >> 3) & 0x3f);
padLen = (index < 56) ? (56 - index) : (120 - index);
MD5Update (context, PADDING, padLen);
//追加数据长度信息
MD5Update (context, bits, 8);
//获取MD5码。其实就是将ABCD四个32位整数以16进制方式级联
Encode (digest, context->state, 16);
//清除数据
memset(context, 0, sizeof(*context));
}

//MD5变换函数
void MD5Transform (unsigned int state[4], unsigned char block[64])
{
unsigned int a = state[0], b = state[1], c = state[2], d = state[3], x[16];
//将64字节的一组数据进一步划分为16个子分组
Decode (x, block, 64);
//第1轮循环变换
FF (a, b, c, d, x[ 0], S11, 0xd76aa478); /* 1 */
FF (d, a, b, c, x[ 1], S12, 0xe8c7b756); /* 2 */
FF (c, d, a, b, x[ 2], S13, 0x242070db); /* 3 */
FF (b, c, d, a, x[ 3], S14, 0xc1bdceee); /* 4 */
FF (a, b, c, d, x[ 4], S11, 0xf57c0faf); /* 5 */
FF (d, a, b, c, x[ 5], S12, 0x4787c62a); /* 6 */
FF (c, d, a, b, x[ 6], S13, 0xa8304613); /* 7 */
FF (b, c, d, a, x[ 7], S14, 0xfd469501); /* 8 */
FF (a, b, c, d, x[ 8], S11, 0x698098d8); /* 9 */
FF (d, a, b, c, x[ 9], S12, 0x8b44f7af); /* 10 */
FF (c, d, a, b, x[10], S13, 0xffff5bb1); /* 11 */
FF (b, c, d, a, x[11], S14, 0x895cd7be); /* 12 */
FF (a, b, c, d, x[12], S11, 0x6b901122); /* 13 */
FF (d, a, b, c, x[13], S12, 0xfd987193); /* 14 */
FF (c, d, a, b, x[14], S13, 0xa679438e); /* 15 */
FF (b, c, d, a, x[15], S14, 0x49b40821); /* 16 */
//第2轮循环变换
GG (a, b, c, d, x[ 1], S21, 0xf61e2562); /* 17 */
GG (d, a, b, c, x[ 6], S22, 0xc040b340); /* 18 */
GG (c, d, a, b, x[11], S23, 0x265e5a51); /* 19 */
GG (b, c, d, a, x[ 0], S24, 0xe9b6c7aa); /* 20 */
GG (a, b, c, d, x[ 5], S21, 0xd62f105d); /* 21 */
GG (d, a, b, c, x[10], S22, 0x2441453); /* 22 */
GG (c, d, a, b, x[15], S23, 0xd8a1e681); /* 23 */
GG (b, c, d, a, x[ 4], S24, 0xe7d3fbc8); /* 24 */
GG (a, b, c, d, x[ 9], S21, 0x21e1cde6); /* 25 */
GG (d, a, b, c, x[14], S22, 0xc33707d6); /* 26 */
GG (c, d, a, b, x[ 3], S23, 0xf4d50d87); /* 27 */
GG (b, c, d, a, x[ 8], S24, 0x455a14ed); /* 28 */
GG (a, b, c, d, x[13], S21, 0xa9e3e905); /* 29 */
GG (d, a, b, c, x[ 2], S22, 0xfcefa3f8); /* 30 */
GG (c, d, a, b, x[ 7], S23, 0x676f02d9); /* 31 */
GG (b, c, d, a, x[12], S24, 0x8d2a4c8a); /* 32 */
//第3轮循环变换
HH (a, b, c, d, x[ 5], S31, 0xfffa3942); /* 33 */
HH (d, a, b, c, x[ 8], S32, 0x8771f681); /* 34 */
HH (c, d, a, b, x[11], S33, 0x6d9d6122); /* 35 */
HH (b, c, d, a, x[14], S34, 0xfde5380c); /* 36 */
HH (a, b, c, d, x[ 1], S31, 0xa4beea44); /* 37 */
HH (d, a, b, c, x[ 4], S32, 0x4bdecfa9); /* 38 */
HH (c, d, a, b, x[ 7], S33, 0xf6bb4b60); /* 39 */
HH (b, c, d, a, x[10], S34, 0xbebfbc70); /* 40 */
HH (a, b, c, d, x[13], S31, 0x289b7ec6); /* 41 */
HH (d, a, b, c, x[ 0], S32, 0xeaa127fa); /* 42 */
HH (c, d, a, b, x[ 3], S33, 0xd4ef3085); /* 43 */
HH (b, c, d, a, x[ 6], S34, 0x4881d05); /* 44 */
HH (a, b, c, d, x[ 9], S31, 0xd9d4d039); /* 45 */
HH (d, a, b, c, x[12], S32, 0xe6db99e5); /* 46 */
HH (c, d, a, b, x[15], S33, 0x1fa27cf8); /* 47 */
HH (b, c, d, a, x[ 2], S34, 0xc4ac5665); /* 48 */
//第4轮循环变换
II (a, b, c, d, x[ 0], S41, 0xf4292244); /* 49 */
II (d, a, b, c, x[ 7], S42, 0x432aff97); /* 50 */
II (c, d, a, b, x[14], S43, 0xab9423a7); /* 51 */
II (b, c, d, a, x[ 5], S44, 0xfc93a039); /* 52 */
II (a, b, c, d, x[12], S41, 0x655b59c3); /* 53 */
II (d, a, b, c, x[ 3], S42, 0x8f0ccc92); /* 54 */
II (c, d, a, b, x[10], S43, 0xffeff47d); /* 55 */
II (b, c, d, a, x[ 1], S44, 0x85845dd1); /* 56 */
II (a, b, c, d, x[ 8], S41, 0x6fa87e4f); /* 57 */
II (d, a, b, c, x[15], S42, 0xfe2ce6e0); /* 58 */
II (c, d, a, b, x[ 6], S43, 0xa3014314); /* 59 */
II (b, c, d, a, x[13], S44, 0x4e0811a1); /* 60 */
II (a, b, c, d, x[ 4], S41, 0xf7537e82); /* 61 */
II (d, a, b, c, x[11], S42, 0xbd3af235); /* 62 */
II (c, d, a, b, x[ 2], S43, 0x2ad7d2bb); /* 63 */
II (b, c, d, a, x[ 9], S44, 0xeb86d391); /* 64 */

state[0] += a;
state[1] += b;
state[2] += c;
state[3] += d;
}

//将无符号整数转为字节类型数组
void Encode (unsigned char *output, unsigned int *input,unsigned int len)
{
unsigned int i, j;

for (i = 0, j = 0; j < len; i++, j += 4) {
output[j] = (unsigned char)(input[i] & 0xff);
output[j+1] = (unsigned char)((input[i] >> 8) & 0xff);
output[j+2] = (unsigned char)((input[i] >> 16) & 0xff);
output[j+3] = (unsigned char)((input[i] >> 24) & 0xff);
}
}

//将字节类型数组转为无符号整数
void Decode (unsigned int *output, unsigned char *input, unsigned int len)
{
unsigned int i, j;

for (i = 0, j = 0; j < len; i++, j += 4)
output[i] = ((unsigned int)input[j]) | (((unsigned int)input[j+1]) << 8) |
(((unsigned int)input[j+2]) << 16) | (((unsigned int)input[j+3]) << 24);
}

int main()
{
MD5_CTX md5_calc;
char c[]="abc";
unsigned char md5[16];
//演示计算字符串abc的MD5码
MD5Init(&md5_calc);
MD5Update(&md5_calc,(unsigned char *)c,strlen(c));
MD5Final(md5,&md5_calc);
//输出MD5码
printf("字符串abc的MD5码为:");
for(int i=0;i<16;i++) printf("%02x",md5[i]);
printf("\n");
return 0;
}

Reverse常见算法
https://j1ya-22.github.io/2025/01/09/Reverse常见算法/
作者
j1ya
发布于
2025年1月9日
许可协议