SM4分组密码算法

SM4分组密码算法

Rust实现;

目录

• SM4分组密码算法
  • SM4算法概要
    • 符号说明
    • 加密
    • 解密
    • 密钥扩展
  • 附录
    • 轮函数\(F\)
    • 系统参数\(FK\)
    • 固定参数\(CK\)
  • 参考资料

SM4算法概要

• 密钥长度128位;
• 分组长度128位;

符号说明

• 加密密钥: \(MK = MK_0 || MK_1 || MK_2 || MK_3, bitslen(MK_i) = 32, i \in [0,3]\);
• 轮密钥: \(rk_0,rk_1,\dots,rk_{31}, bitslen(rk_i)=32, i\in [0,31]\);
• 系统参数: \(FK = FK_0 || FK_1 || FK_2 || FK_3, bitslen(FK_i)=32, i\in [0,3]\);
• 固定参数: \(CK = CK_0 || CK_1 || \dots ||CK_{31}, bitslen(CK_i)=32, i\in [0,31]\);

加密

• 记有明文\(X= X_0 || X_1 || X_2 || X_3, bitslen(X_i)=32, i\in [0,3]\);
• for i in 0..=31:
  • \(X_i = F(X_i, X_{i+1}, X_{i+2}, X_{i+3}, rk_i)\);
• \(X_{35}||X_{34}||X_{33}||X_{32}\);

解密

• 记有密文\(X= X_0 || X_1 || X_2 || X_3, bitslen(X_i)=32, i\in [0,3]\);
• for i in 0..32:
  • \(X_i = F(X_i, X_{i+1}, X_{i+2}, X_{i+3}, rk_{31-i})\);
• \(X_{35}||X_{34}||X_{33}||X_{32}\);

密钥扩展

• \(K_i = MK_i \oplus FK_i, i \in [0,3]\);
• T'(A): \(T'(A) = L'(\tau(A))\):
  • L'(B):
    • \(L'(B) = B\oplus (B\lll 13)\oplus (B\lll 23)\);
  • tau(A):
    • \(A = a_0 || a_1 || a_2 || a_3, bitslen(a_i)=8, i \in [0,3]\);
    • \(Sbox(a_0) || Sbox(a_1) || Sbox(a_2) || SBox(a_3)\);
• for i in 0..=31:
  • \(K_{i+4} = K_i\oplus T'(K_{i+1}\oplus K_{i+2}\oplus K_{i+3} \oplus CK_{i})\);
  • \(rk_i = K_{i+4}\);

附录

轮函数\(F\)

• F(X_0, X_1, X_2, X_3, rk):
  • \(X_0 \oplus T(X_1 \oplus X_2 \oplus X_3 \oplus rk)\);
  • T(A): \(T(A) = L(\tau(A))\);
    • L(B):
      • \(L(B) = B\oplus (B\lll 2) \oplus (B \lll 10) \oplus (B\lll 18) \oplus (B\lll 24)\);
    • tau(A):
      • \(A = a_0 || a_1 || a_2 || a_3, bitslen(a_i)=8, i \in [0,3]\);
      • \(Sbox(a_0) || Sbox(a_1) || Sbox(a_2) || SBox(a_3)\);

const Sbox: [u8;256] = [
	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,
];

系统参数\(FK\)

const FK: [u32;4] = [
    0xa3b1bac6, 0x56aa3350, 0x677d9197, 0xb27022dc
];

固定参数\(CK\)

const CK: [u32; 32] = [
    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
];

参考资料

• GM/T 0002-2012;