SM4 的 py 实现

Python SM4 的实现

算法

pdf 里讲得很清楚了，就不多说了

代码

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import re
import time

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]
]

CK = [
    0x00070e15L, 0x1c232a31L, 0x383f464dL, 0x545b6269L,
    0x70777e85L, 0x8c939aa1L, 0xa8afb6bdL, 0xc4cbd2d9L,
    0xe0e7eef5L, 0xfc030a11L, 0x181f262dL, 0x343b4249L,
    0x50575e65L, 0x6c737a81L, 0x888f969dL, 0xa4abb2b9L,
    0xc0c7ced5L, 0xdce3eaf1L, 0xf8ff060dL, 0x141b2229L,
    0x30373e45L, 0x4c535a61L, 0x686f767dL, 0x848b9299L,
    0xa0a7aeb5L, 0xbcc3cad1L, 0xd8dfe6edL, 0xf4fb0209L,
    0x10171e25L, 0x2c333a41L, 0x484f565dL, 0x646b7279L
]

FK = [0xA3B1BAC6L, 0x56AA3350L, 0x677D9197L, 0xB27022DCL]

def LeftRot(n, b): return ((n << b) | ((n & 0xffffffff) >> (32 - b))) & 0xffffffff

def t(A): 
    b = ''.join(['%02x' %(int(Sbox[int(i[0],16)][int(i[1],16)])) 
         for i in re.findall(r'.{2}', '%08x' %A)])
    return b

def T(A):
    B=int(t(A),16) 
    return B^LeftRot(B,2)^LeftRot(B,10)^LeftRot(B,18)^LeftRot(B,24)

def F(Xi, rki):
    xi=[int(i,16) for i in Xi]
    return '%08x' %(xi[0] ^ T(xi[1]^xi[2]^xi[3]^rki))

def T_(A):
    B=int(t(A),16) 
    return B^LeftRot(B,13)^LeftRot(B,23)

def encrypto(X,MK):
    K=[int(MK[i],16)^FK[i] for i in xrange(4)]
    rk=[]
    for i in xrange(32):
        K += [K[i]^T_(K[i+1]^K[i+2]^K[i+3]^CK[i])]
        rk += [K[-1]]
        X += [F(m[i:i + 4], rk[i])]
        print 'rk['+str(i)+']='+str(K[-1])+', X['+str(i)+']='+X[-1]
    return X[-4:][::-1]

time.clock()
m = re.findall(r'.{8}', '0123456789abcdeffedcba9876543210')
key = re.findall(r'.{8}', '0123456789abcdeffedcba9876543210')

print ''.join(encrypto(m,key))
print time.clock(),'s'

输出

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rk[0]=4045506297, X[0]=27fad345
rk[1]=1097214817, X[1]=a18b4cb2
rk[2]=1516941722, X[2]=11c1e22a
rk[3]=2074681463, X[3]=cc13e2ee
rk[4]=913531124, X[4]=f87c5bd5
rk[5]=2003438689, X[5]=33220757
rk[6]=3065743795, X[6]=77f4c297
rk[7]=611725649, X[7]=7a96f2eb
rk[8]=2770350204, X[8]=27dac07f
rk[9]=3076017597, X[9]=42dd0f19
rk[10]=3272037357, X[10]=b8a5da02
rk[11]=2128960343, X[11]=907127fa
rk[12]=1770545292, X[12]=8b952b83
rk[13]=819500471, X[13]=d42b7c59
rk[14]=1153045679, X[14]=2ffc5831
rk[15]=272930209, X[15]=f69e6888
rk[16]=3508581416, X[16]=af2432c4
rk[17]=1941266339, X[17]=ed1ec85e
rk[18]=3431418214, X[18]=55a3ba22
rk[19]=2451850297, X[19]=124b18aa
rk[20]=3902694431, X[20]=6ae7725f
rk[21]=2563375450, X[21]=f4cba1f9
rk[22]=3340079200, X[22]=1dcdfa10
rk[23]=2581724462, X[23]=2ff60603
rk[24]=3080443916, X[24]=eff24fdc
rk[25]=488707504, X[25]=6fe46b75
rk[26]=237144811, X[26]=893450ad
rk[27]=4051176577, X[27]=7b938f4c
rk[28]=1116550740, X[28]=536e4246
rk[29]=1646867606, X[29]=86b3e94f
rk[30]=30372581, X[30]=d206965e
rk[31]=2435096594, X[31]=681edf34
681edf34d206965e86b3e94f536e4246
0.00450501471553 s

1000000

贪图实现快，所以速度超级慢。跑 100w 次要 700s+.....叶大佬的 C 不到 1s...醉醉的....
不过懒得优化了...Emmmmm

一些启发

实现快，速度慢。花了点时间优化了一下

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import re
import time

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]
]

CK = [
    0x00070e15L, 0x1c232a31L, 0x383f464dL, 0x545b6269L,
    0x70777e85L, 0x8c939aa1L, 0xa8afb6bdL, 0xc4cbd2d9L,
    0xe0e7eef5L, 0xfc030a11L, 0x181f262dL, 0x343b4249L,
    0x50575e65L, 0x6c737a81L, 0x888f969dL, 0xa4abb2b9L,
    0xc0c7ced5L, 0xdce3eaf1L, 0xf8ff060dL, 0x141b2229L,
    0x30373e45L, 0x4c535a61L, 0x686f767dL, 0x848b9299L,
    0xa0a7aeb5L, 0xbcc3cad1L, 0xd8dfe6edL, 0xf4fb0209L,
    0x10171e25L, 0x2c333a41L, 0x484f565dL, 0x646b7279L
]

FK = [0xA3B1BAC6L, 0x56AA3350L, 0x677D9197L, 0xB27022DCL]

def LeftRot(n, b): return (n << b | n >> 32 - b) & 0xffffffff

def t(a):
    a4=a>>4
    a3=a4>>4
    a2=a3>>8
    a1=a2>>8
    
    return (Sbox[a1>>4][a1&0xf] << 24) + \
           (Sbox[a2>>4&0xf][a2&0xf] << 16) + \
           (Sbox[a3>>4&0xf][a3&0xf] << 8) + \
           Sbox[a4&0xf][a&0xf]

def F(xi, rki):
    B=t(xi[1]^xi[2]^xi[3]^rki)
    return xi[0] ^ B^LeftRot(B,2)^LeftRot(B,10)^LeftRot(B,18)^LeftRot(B,24)

def T_(A):
    B=t(A)
    return B^LeftRot(B,13)^LeftRot(B,23)

def encrypto(X,K):
    for i in xrange(32):
        X = [X[1], X[2], X[3], F(X, K[i+4])]
    return X[::-1]

time.clock()
m = 0x0123456789abcdeffedcba9876543210
X=[m >> (128-32),(m >> (128-32*2))&0xffffffff,(m >> 32)&0xffffffff,m&0xffffffff]
K=[X[i]^FK[i] for i in xrange(4)]
for i in xrange(32):
    K.append(K[i]^T_(K[i+1]^K[i+2]^K[i+3]^CK[i]))

for i in xrange(1000000):
    X=encrypto(X,K)
    
print [('%08x' %i) for i in X]
print time.clock(),'s'

100w 次 167.441324291 s
结果

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['595298c7', 'c6fd271f', '0402f804', 'c33d3f66']
167.441324291 s

cProfile 的检测如下：
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   Ordered by: standard name

   ncalls  tottime  percall  cumtime  percall filename:lineno(function)
        1    0.546    0.546  167.442  167.442 SM4.py:1(<module>)
128000064   47.671    0.000   47.671    0.000 SM4.py:36(LeftRot)
 32000032   58.286    0.000   58.286    0.000 SM4.py:38(t)
 32000000   47.090    0.000  153.046    0.000 SM4.py:49(F)
       32    0.000    0.000    0.000    0.000 SM4.py:53(T_)
  1000000   13.850    0.000  166.896    0.000 SM4.py:57(encrypto)
        1    0.000    0.000    0.000    0.000 {method 'disable' of '_lsprof.Profiler' objects}
        2    0.000    0.000    0.000    0.000 {time.clock}

使用 pypy 就更快了(开挂！不算数！)

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['595298c7', 'c6fd271f', '0402f804', 'c33d3f66']
45.4216792745 s

cProfile 的检测如下：

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   Ordered by: standard name

   ncalls  tottime  percall  cumtime  percall filename:lineno(function)
        1    0.110    0.110   50.350   50.350 SM4.py:1(<module>)
128000064   18.385    0.000   18.385    0.000 SM4.py:36(LeftRot)
 32000032   17.910    0.000   17.910    0.000 SM4.py:38(t)
 32000000   11.949    0.000   48.244    0.000 SM4.py:49(F)
       32    0.000    0.000    0.000    0.000 SM4.py:53(T_)
  1000000    1.995    0.000   50.239    0.000 SM4.py:57(encrypto)
        2    0.000    0.000    0.000    0.000 _structseq.py:22(__get__)
        1    0.000    0.000    0.000    0.000 {method 'disable' of '_lsprof.Profiler' objects}
        2    0.000    0.000    0.000    0.000 {time.clock}

这个速度应该是极限了...发现优化还是很有趣的事，改天写一篇 python 优化的.

来呀快活呀

过程记录
#Python #密码学
SM4 的 py 实现
https://www.tr0y.wang/2017/11/08/SM4/
作者
Tr0y
发布于
2017年11月8日
更新于
2024年4月19日
许可协议