词条 | des算法 |
释义 | DES算法为密码体制中的对称密码体制,又被成为美国数据加密标准,是1972年美国IBM公司研制的对称密码体制加密算法。 明文按64位进行分组, 密钥长64位,密钥事实上是56位参与DES运算(第8、16、24、32、40、48、56、64位是校验位, 使得每个密钥都有奇数个1)分组后的明文组和56位的密钥按位替代或交换的方法形成密文组的加密方法。 DES工作的基本原理其入口参数有三个:key、data、mode。 key为加密解密使用的密钥,data为加密解密的数据,mode为其工作模式。当模式为加密模式时,明文按照64位进行分组,形成明文组,key用于对数据加密,当模式为解密模式时,key用于对数据解密。实际运用中,密钥只用到了64位中的56位,这样才具有高的安全性。 DES加密算法特点分组比较短、密钥太短、密码生命周期短、运算速度较慢。 主要流程DES算法把64位的明文输入块变为64位的密文输出块,它所使用的密钥也是64位,整个算法的主流程图如下: 置换规则表其功能是把输入的64位数据块按位重新组合,并把输出分为L0、R0两部分,每部分各长32位,其置换规则见下表: 58,50,42,34,26,18,10,2,60,52,44,36,28,20,12,4, 62,54,46,38,30,22,14,6,64,56,48,40,32,24,16,8, 57,49,41,33,25,17, 9,1,59,51,43,35,27,19,11,3, 61,53,45,37,29,21,13,5,63,55,47,39,31,23,15,7, 即将输入的第58位换到第一位,第50位换到第2位,...,依此类推,最后一位是原来的第7位。L0、R0则是换位输出后的两部分,L0是输出的左32位,R0 是右32位,例:设置换前的输入值为D1D2D3......D64,则经过初始置换后的结果为:L0=D58D50...D8;R0=D57D49...D7。 经过16次迭代运算后。得到L16、R16,将此作为输入,进行逆置换,即得到密文输出。逆置换正好是初始置换的逆运算。例如,第1位经过初始置换后,处于第40位,而通过逆置换,又将第40位换回到第1位,其逆置换规则如下表所示: 40,8,48,16,56,24,64,32,39,7,47,15,55,23,63,31, 38,6,46,14,54,22,62,30,37,5,45,13,53,21,61,29, 36,4,44,12,52,20,60,28,35,3,43,11,51,19,59,27, 34,2,42,10,50,18,58 26,33,1,41, 9,49,17,57,25, 放大换位表32, 1, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 8, 9, 10,11, 12,13,12,13,14,15,16,17,16,17,18,19,20,21,20,21, 22,23,24,25,24,25,26,27,28,29,28,29,30,31,32, 1, 单纯换位表16,7,20,21,29,12,28,17, 1,15,23,26, 5,18,31,10, 2,8,24,14,32,27, 3, 9,19,13,30, 6,22,11, 4,25, 功能表在f(Ri,Ki)算法描述图中,S1,S2...S8为选择函数,其功能是把48bit数据变为32bit数据。下面给出选择函数Si(i=1,2......8)的功能表: 选择函数Si S1: 14,4,13,1,2,15,11,8,3,10,6,12,5,9,0,7, 0,15,7,4,14,2,13,1,10,6,12,11,9,5,3,8, 4,1,14,8,13,6,2,11,15,12,9,7,3,10,5,0, 15,12,8,2,4,9,1,7,5,11,3,14,10,0,6,13,S2: 15,1,8,14,6,11,3,4,9,7,2,13,12,0,5,10, 3,13,4,7,15,2,8,14,12,0,1,10,6,9,11,5, 0,14,7,11,10,4,13,1,5,8,12,6,9,3,2,15, 13,8,10,1,3,15,4,2,11,6,7,12,0,5,14,9, S3: 10,0,9,14,6,3,15,5,1,13,12,7,11,4,2,8, 13,7,0,9,3,4,6,10,2,8,5,14,12,11,15,1, 13,6,4,9,8,15,3,0,11,1,2,12,5,10,14,7, 1,10,13,0,6,9,8,7,4,15,14,3,11,5,2,12, S4: 7,13,14,3,0,6,9,10,1,2,8,5,11,12,4,15, 13,8,11,5,6,15,0,3,4,7,2,12,1,10,14,9, 10,6,9,0,12,11,7,13,15,1,3,14,5,2,8,4, 3,15,0,6,10,1,13,8,9,4,5,11,12,7,2,14, S5: 2,12,4,1,7,10,11,6,8,5,3,15,13,0,14,9, 14,11,2,12,4,7,13,1,5,0,15,10,3,9,8,6, 4,2,1,11,10,13,7,8,15,9,12,5,6,3,0,14, 11,8,12,7,1,14,2,13,6,15,0,9,10,4,5,3, S6: 12,1,10,15,9,2,6,8,0,13,3,4,14,7,5,11, 10,15,4,2,7,12,9,5,6,1,13,14,0,11,3,8, 9,14,15,5,2,8,12,3,7,0,4,10,1,13,11,6, 4,3,2,12,9,5,15,10,11,14,1,7,6,0,8,13, S7: 4,11,2,14,15,0,8,13,3,12,9,7,5,10,6,1, 13,0,11,7,4,9,1,10,14,3,5,12,2,15,8,6, 1,4,11,13,12,3,7,14,10,15,6,8,0,5,9,2, 6,11,13,8,1,4,10,7,9,5,0,15,14,2,3,12, S8: 13,2,8,4,6,15,11,1,10,9,3,14,5,0,12,7, 1,15,13,8,10,3,7,4,12,5,6,11,0,14,9,2, 7,11,4,1,9,12,14,2,0,6,10,13,15,3,5,8, 2,1,14,7,4,10,8,13,15,12,9,0,3,5,6,11, 在此以S1为例说明其功能,我们可以看到:在S1中,共有4行数据,命名为0,1、2、3行;每行有16列,命名为0、1、2、3,......,14、15列。 现设输入为: D=D1D2D3D4D5D6 令:列=D2D3D4D5 行=D1D6 然后在S1表中查得对应的数,以4位二进制表示,此即为选择函数S1的输出。下面给出子密钥Ki(48bit)的生成算法 子密钥的生成算法从子密钥Ki的生成算法描述图中我们可以看到:初始Key值为64位,但DES算法规定,其中第8、16、......64位是奇偶校验位,不参与DES运算。故Key 实际可用位数便只有56位。即:经过缩小选择换位表1的变换后,Key 的位数由64 位变成了56位,此56位分为C0、D0两部分,各28位,然后分别进行第1次循环左移,得到C1、D1,将C1(28位)、D1(28位)合并得到56位,再经过缩小选择换位2,从而便得到了密钥K0(48位)。依此类推,便可得到K1、K2、......、K15,不过需要注意的是,16次循环左移对应的左移位数要依据下述规则进行: 循环左移位数1,1,2,2,2,2,2,2,1,2,2,2,2,2,2,1 以上介绍了DES算法的加密过程。DES算法的解密过程是一样的,区别仅仅在于第一次迭代时用子密钥K15,第二次K14、......,最后一次用K0,算法本身并没有任何变化。 DES算法的应用误区特点DES算法具有极高安全性,到目前为止,除了用穷举搜索法对DES算法进行攻击外,还没有发现更有效的办法。而56位长的密钥的穷举空间为256,这意味着如果一台计算机的速度是每一秒种检测一百万个密钥,则它搜索完全部密钥就需要将近2285年的时间,可见,这是难以实现的,当然,随着科学技术的发展,当出现超高速计算机后,我们可考虑把DES密钥的长度再增长一些,以此来达到更高的保密程度。 应用误区由上述DES算法介绍我们可以看到:DES算法中只用到64位密钥中的其中56位,而第8、16、24、......64位8个位并未参与DES运算,这一点,向我们提出了一个应用上的要求,即DES的安全性是基于除了8,16,24,......64位外的其余56位的组合变化256才得以保证的。因此,在实际应用中,我们应避开使用第8,16,24,......64位作为有效数据位,而使用其它的56位作为有效数据位,才能保证DES算法安全可靠地发挥作用。如果不了解这一点,把密钥Key的8,16,24,..... .64位作为有效数据使用,将不能保证DES加密数据的安全性,对运用DES来达到保密作用的系统产生数据被破译的危险,这正是DES算法在应用上的误区,留下了被人攻击、被人破译的极大隐患。 DES算法源程序/*在我测试的时候发现这个代码的一个问题是 如果加密后的密文里面有00这个字节的话 解密出来的就会是乱码,编译环境vc6.0 vs2008 使用需注意 */ (名为schedle.h的头文件) #include <windows.h> DWORDLONG dwlKey_PC_1[64]={ 57,49,41,33,25,17,9, 1,58,50,42,34,26,18, 10,2,59,51,43,35,27, 19,11,3,60,52,44,36, 63,55,47,39,31,23,15, 7,62,54,46,38,30,22, 14,6,61,53,45,37,29, 21,13,5,28,20,12,4,0}; DWORDLONG dwlKey_PC_2[64]={ 14,17,11,24,1,5, 3,28,15,6,21,10, 23,19,12,4,26,8, 16,7,27,20,13,2, 41,52,31,37,47,55, 30,40,51,45,33,48, 44,49,39,56,34,53, 46,42,50,36,29,32,0}; DWORDLONG dwlData_IP[65]={ 58,50,42,34,26,18,10,2, 60,52,44,36,28,20,12,4, 62,54,46,38,30,22,14,6, 64,56,48,40,32,24,16,8, 57,49,41,33,25,17,9,1, 59,51,43,35,27,19,11,3, 61,53,45,37,29,21,13,5, 63,55,47,39,31,23,15,7,0}; DWORDLONG dwlData_Expansion[64]={ 32,1,2,3,4,5, 4,5,6,7,8,9, 8,9,10,11,12,13, 12,13,14,15,16,17, 16,17,18,19,20,21, 20,21,22,23,24,25, 24,25,26,27,28,29, 28,29,30,31,32,1,0}; DWORDLONG dwlData_P[33]={ 16,7,20,21, 29,12,28,17, 1,15,23,26, 5,18,31,10, 2,8,24,14, 32,27,3,9, 19,13,30,6, 22,11,4,25,0}; DWORDLONG dwlData_FP[65]={ 40,8,48,16,56,24,64,32, 39,7,47,15,55,23,63,31, 38,6,46,14,54,22,62,30, 37,5,45,13,53,21,61,29, 36,4,44,12,52,20,60,28, 35,3,43,11,51,19,59,27, 34,2,42,10,50,18,58,26, 33,1,41,9,49,17,57,25,0}; DWORDLONG OS[512]={ 14,4,13,1,2,15,11,8,3,10,6,12,5,9,0,7, 0,15,7,4,14,2,13,1,10,6,12,11,9,5,3,8, 4,1,14,8,13,6,2,11,15,12,9,7,3,10,5,0, 15,12,8,2,4,9,1,7,5,11,3,14,10,0,6,13, 15,1,8,14,6,11,3,4,9,7,2,13,12,0,5,10, 3,13,4,7,15,2,8,14,12,0,1,10,6,9,11,5, 0,14,7,11,10,4,13,1,5,8,12,6,9,3,2,15, 13,8,10,1,3,15,4,2,11,6,7,12,0,5,14,9, 10,0,9,14,6,3,15,5,1,13,12,7,11,4,2,8, 13,7,0,9,3,4,6,10,2,8,5,14,12,11,15,1, 13,6,4,9,8,15,3,0,11,1,2,12,5,10,14,7, 1,10,13,0,6,9,8,7,4,15,14,3,11,5,2,12, 7,13,14,3,0,6,9,10,1,2,8,5,11,12,4,15, 13,8,11,5,6,15,0,3,4,7,2,12,1,10,14,9, 10,6,9,0,12,11,7,13,15,1,3,14,5,2,8,4, 3,15,0,6,10,1,13,8,9,4,5,11,12,7,2,14, 2,12,4,1,7,10,11,6,8,5,3,15,13,0,14,9, 14,11,2,12,4,7,13,1,5,0,15,10,3,9,8,6, 4,2,1,11,10,13,7,8,15,9,12,5,6,3,0,14, 11,8,12,7,1,14,2,13,6,15,0,9,10,4,5,3, 12,1,10,15,9,2,6,8,0,13,3,4,14,7,5,11, 10,15,4,2,7,12,9,5,6,1,13,14,0,11,3,8, 9,14,15,5,2,8,12,3,7,0,4,10,1,13,11,6, 4,3,2,12,9,5,15,10,11,14,1,7,6,0,8,13, 4,11,2,14,15,0,8,13,3,12,9,7,5,10,6,1, 13,0,11,7,4,9,1,10,14,3,5,12,2,15,8,6, 1,4,11,13,12,3,7,14,10,15,6,8,0,5,9,2, 6,11,13,8,1,4,10,7,9,5,0,15,14,2,3,12, 13,2,8,4,6,15,11,1,10,9,3,14,5,0,12,7, 1,15,13,8,10,3,7,4,12,5,6,11,0,14,9,2, 7,11,4,1,9,12,14,2,0,6,10,13,15,3,5,8, 2,1,14,7,4,10,8,13,15,12,9,0,3,5,6,11 }; ------------------------ (以下为主程序) #include <stdio.h> #include <string.h> #include <windows.h> #include <conio.h> #include "Schedle.h" class CShift{ public: DWORDLONG mask[16]; int step[16]; CShift(){ for(int i=0;i<16;i++){ step[i]=2; mask[i]=0xc000000; } step[0]=step[1]=step[8]=step[15]=1; mask[0]=mask[1]=mask[8]=mask[15]=0x8000000; } }; class CDES{ public: CDES(){ m_dwlKey=0; m_dwlData=0; ConvertTableToMask(dwlKey_PC_1,64); //PrintTable(dwlKey_PC_1,7,8); ConvertTableToMask(dwlKey_PC_2,56); ConvertTableToMask(dwlData_IP,64); ConvertTableToMask(dwlData_Expansion,32); ConvertTableToMask(dwlData_FP,64); ConvertTableToMask(dwlData_P,32); Generate_S(); } void PrintBit(DWORDLONG); void EncryptKey(char *); unsigned char* EncryptData(unsigned char *); unsigned char* DescryptData(unsigned char*); private: void ConvertTableToMask(DWORDLONG *,int); void Generate_S(void); void PrintTable(DWORDLONG*,int,int); DWORDLONG ProcessByte(unsigned char*,BOOL); DWORDLONG PermuteTable(DWORDLONG,DWORDLONG*,int); void Generate_K(void); void EncryptKernel(void); DWORDLONG Generate_B(DWORDLONG,DWORDLONG*); /*For verify schedule permutation only*/ DWORDLONG UnPermuteTable(DWORDLONG,DWORDLONG*,int); /**************************************/ DWORDLONG dwlData_S[9][4][16]; CShift m_shift; DWORDLONG m_dwlKey; DWORDLONG m_dwlData; DWORDLONG m_dwl_K[17]; }; void CDES::EncryptKey(char *key){ printf("\Original Key: %s",key); m_dwlKey=ProcessByte((unsigned char*)key,TRUE); // PrintBit(m_dwlKey); m_dwlKey=PermuteTable(m_dwlKey,dwlKey_PC_1,56); // PrintBit(m_dwlKey); Generate_K(); // printf("\******************************************\"); } void CDES::Generate_K(void){ DWORDLONG C[17],D[17],tmp; C[0]=m_dwlKey>>28; D[0]=m_dwlKey&0xfffffff; for(int i=1;i<=16;i++){ tmp=(C[i-1]&m_shift.mask[i-1])>>(28-m_shift.step[i-1]); C[i]=((C[i-1]<<m_shift.step[i-1])|tmp)&0x0fffffff; tmp=(D[i-1]&m_shift.mask[i-1])>>(28-m_shift.step[i-1]); D[i]=((D[i-1]<<m_shift.step[i-1])|tmp)&0x0fffffff; m_dwl_K[i]=(C[i]<<28)|D[i]; m_dwl_K[i]=PermuteTable(m_dwl_K[i],dwlKey_PC_2,48); } } DWORDLONG CDES::ProcessByte(unsigned char *key,BOOL shift){ unsigned char tmp; DWORDLONG byte=0; int i=0; while(i<8){ while(*key){ if(byte!=0) byte<<=8; tmp=*key; if(shift) tmp<<=1; byte|=tmp; i++; key++; } if(i<8) byte<<=8; i++; } return byte; } DWORDLONG CDES::PermuteTable(DWORDLONG dwlPara,DWORDLONG* dwlTable,int nDestLen){ int i=0; DWORDLONG tmp=0,moveBit; while(i<nDestLen){ moveBit=1; if(dwlTable[i]&dwlPara){ moveBit<<=nDestLen-i-1; tmp|=moveBit; } i++; } return tmp; } DWORDLONG CDES::UnPermuteTable(DWORDLONG dwlPara,DWORDLONG* dwlTable,int nDestLen){ DWORDLONG tmp=0; int i=nDestLen-1; while(dwlPara!=0){ if(dwlPara&0x01) tmp|=dwlTable[i]; dwlPara>>=1; i--; } return tmp; } void CDES::PrintTable(DWORDLONG *dwlPara,int col,int row){ int i,j; for(i=0;i<row;i++){ printf("\"); getch(); for(j=0;j<col;j++) PrintBit(dwlPara[i*col+j]); } } void CDES::PrintBit(DWORDLONG bitstream){ char out[76]; int i=0,j=0,space=0; while(bitstream!=0){ if(bitstream&0x01) out[i++]='1'; else out[i++]='0'; j++; if(j%8==0){ out[i++]=' '; space++; } bitstream=bitstream>>1; } out[i]='\\0'; strcpy(out,strrev(out)); printf("%s **:%d\",out,i-space); } void CDES::ConvertTableToMask(DWORDLONG *mask,int max){ int i=0; DWORDLONG nBit=1; while(mask[i]!=0){ nBit=1; nBit<<=max-mask[i]; mask[i++]=nBit; } } void CDES::Generate_S(void){ int i; int j,m,n; m=n=0; j=1; for(i=0;i<512;i++){ dwlData_S[j][m][n]=OS[i]; n=(n+1)%16; if(!n){ m=(m+1)%4; if(!m) j++; } } } unsigned char * CDES::EncryptData(unsigned char *block){ unsigned char *EncrytedData=new unsigned char(15); printf("\Original Data: %s\",block); m_dwlData=ProcessByte(block,0); // PrintBit(m_dwlData); m_dwlData=PermuteTable(m_dwlData,dwlData_IP,64); EncryptKernel(); // PrintBit(m_dwlData); DWORDLONG bit6=m_dwlData; for(int i=0;i<11;i++){ EncrytedData[7-i]=(unsigned char)(bit6&0x3f)+46; bit6>>=6; } EncrytedData[11]='\\0'; printf("\After Encrypted: %s",EncrytedData); for(i=0;i<8;i++){ EncrytedData[7-i]=(unsigned char)(m_dwlData&0xff); m_dwlData>>=8; } EncrytedData[8]='\\0'; return EncrytedData; } void CDES::EncryptKernel(void){ int i=1; DWORDLONG L[17],R[17],B[9],EK,PSB; L[0]=m_dwlData>>32; R[0]=m_dwlData&0xffffffff; for(i=1;i<=16;i++){ L[i]=R[i-1]; R[i-1]=PermuteTable(R[i-1],dwlData_Expansion,48); //Expansion R EK=R[i-1]^m_dwl_K[i]; //E Permutation PSB=Generate_B(EK,B); //P Permutation R[i]=L[i-1]^PSB; } R[16]<<=32; m_dwlData=R[16]|L[16]; m_dwlData=PermuteTable(m_dwlData,dwlData_FP,64); } unsigned char* CDES::DescryptData(unsigned char *desData){ int i=1; unsigned char *DescryptedData=new unsigned char(15); DWORDLONG L[17],R[17],B[9],EK,PSB; DWORDLONG dataPara; dataPara=ProcessByte(desData,0); dataPara=PermuteTable(dataPara,dwlData_IP,64); R[16]=dataPara>>32; L[16]=dataPara&0xffffffff; for(i=16;i>=1;i--){ R[i-1]=L[i]; L[i]=PermuteTable(L[i],dwlData_Expansion,48); //Expansion L EK=L[i]^m_dwl_K[i]; //E Permutation PSB=Generate_B(EK,B); //P Permutation L[i-1]=R[i]^PSB; } L[0]<<=32; dataPara=L[0]|R[0]; dataPara=PermuteTable(dataPara,dwlData_FP,64); // PrintBit(dataPara); for(i=0;i<8;i++){ DescryptedData[7-i]=(unsigned char)(dataPara&0xff); dataPara>>=8; } DescryptedData[8]='\\0'; printf("\After Decrypted: %s\",DescryptedData); return DescryptedData; } DWORDLONG CDES::Generate_B(DWORDLONG EKPara,DWORDLONG *block){ int i,m,n; DWORDLONG tmp=0; for(i=8;i>0;i--){ block[i]=EKPara&0x3f; m=(int)(block[i]&0x20)>>4; m|=block[i]&0x01; n=(int)(block[i]<<1)>>2; block[i]=dwlData_S[i][m][n]; EKPara>>=6; } for(i=1;i<=8;i++){ tmp|=block[i]; tmp<<=4; } tmp>>=4; tmp=PermuteTable(tmp,dwlData_P,32); return tmp; } void main(void){ CDES des; des.EncryptKey("12345678"); unsigned char *result=des.EncryptData((unsigned char*)"DemoData"); des.DescryptData(result); } |
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