原来那个效率太低，主要是因为实际应用并不需要生成太长的m序列，加入了需求长度，能有效减少运行时间。25级的移位寄存器，运行了一个小时都没有出来一周期，我仅仅需要三千bit而已。改进版：
function [seq]=mseq(connections,registers,len); %*************************************************** % 此函数用来生成最大长度线性移位寄存器序列 % connections为特征多项式向量，registers为初始值向量 % len为所需序列长度，若为0则输出一个周期 %*************************************************** m=length(connections); L=2^m-1; %周期长度 if len==0 len=L; end fan=0; for i=1:len seq(i)=registers(m); for j=1:m fan=fan +connections(j)*registers(j); fan=(mod(fan,2)); end for t=m:-1:2 %寄存器移位 registers(t)=registers(t-1); end registers(1)=fan; fan=0; end附：部分本原多项式
# # Minimal weight primitive polynomials over GF(2) # In addition the coefficients/bits (apart from the # constant and the leading term) are as close to # the low end as possible. #. # Generated by Joerg Arndt, 2003-January-30 # 2,1,0 3,1,0 4,1,0 5,2,0 6,1,0 7,1,0 8,4,3,2,0 9,4,0 10,3,0 11,2,0 12,6,4,1,0 13,4,3,1,0 14,5,3,1,0 15,1,0 16,5,3,2,0 17,3,0 18,7,0 19,5,2,1,0 20,3,0 21,2,0 22,1,0 23,5,0 24,4,3,1,0 25,3,0 26,6,2,1,0 27,5,2,1,0 28,3,0 29,2,0 30,6,4,1,0 31,3,0 32,7,6,2,0 33,13,0 34,8,4,3,0 35,2,0 36,11,0 37,6,4,1,0 38,6,5,1,0 39,4,0 40,5,4,3,0 41,3,0 42,7,4,3,0 43,6,4,3,0 44,6,5,2,0 45,4,3,1,0 46,8,7,6,0 47,5,0 48,9,7,4,0 49,9,0 50,4,3,2,0 51,6,3,1,0 52,3,0 53,6,2,1,0 54,8,6,3,0 55,24,0 56,7,4,2,0 57,7,0 58,19,0 59,7,4,2,0 60,1,0 61,5,2,1,0 62,6,5,3,0 63,1,0 64,4,3,1,0 65,18,0 66,9,8,6,0 67,5,2,1,0 68,9,0 69,6,5,2,0 70,5,3,1,0 71,6,0 72,10,9,3,0 73,25,0 74,7,4,3,0 75,6,3,1,0 76,5,4,2,0 77,6,5,2,0 78,7,2,1,0 79,9,0 80,9,4,2,0 81,4,0 82,9,6,4,0 83,7,4,2,0 84,13,0 85,8,2,1,0 86,6,5,2,0 87,13,0 88,11,9,8,0 89,38,0 90,5,3,2,0 91,8,5,1,0 92,6,5,2,0 93,2,0 94,21,0 95,11,0 96,10,9,6,0 97,6,0 98,11,0 99,7,5,4,0 100,37,0 101,7,6,1,0 102,6,5,3,0 103,9,0 104,11,10,1,0 105,16,0 106,15,0 107,9,7,4,0 108,31,0 109,5,4,2,0 110,6,4,1,0 111,10,0 112,11,6,4,0 113,9,0 114,11,2,1,0 115,8,7,5,0 116,6,5,2,0 117,5,2,1,0 118,33,0 119,8,0 120,9,6,2,0 121,18,0 122,6,2,1,0 123,2,0 124,37,0 125,7,6,5,0 126,7,4,2,0 127,1,0 128,7,2,1,0 129,5,0 130,3,0 131,8,3,2,0 132,29,0 133,9,8,2,0 134,57,0 135,11,0 136,8,3,2,0 137,21,0 138,8,7,1,0 139,8,5,3,0 140,29,0 141,13,6,1,0 142,21,0 143,5,3,2,0 144,7,4,2,0 145,52,0 146,5,3,2,0 147,11,4,2,0 148,27,0 149,10,9,7,0 150,53,0 151,3,0 152,6,3,2,0 153,1,0 154,9,5,1,0 155,7,5,4,0 156,9,5,3,0 157,6,5,2,0 158,8,6,5,0 159,31,0 160,5,3,2,0 161,18,0 162,8,7,4,0 163,7,6,3,0 164,12,6,5,0 165,9,8,3,0 166,10,3,2,0 167,6,0 168,16,9,6,0 169,34,0 170,23,0 171,6,5,2,0 172,7,0 173,8,5,2,0 174,13,0 175,6,0 176,12,11,9,0 177,8,0 178,87,0 179,4,2,1,0 180,12,10,7,0 181,7,6,1,0 182,8,6,1,0 183,56,0 184,9,8,7,0 185,24,0 186,9,8,6,0 187,7,6,5,0 188,6,5,2,0 189,6,5,2,0 190,13,6,2,0 191,9,0 192,15,11,5,0 193,15,0 194,87,0 195,8,3,2,0 196,11,9,2,0 197,9,4,2,0 198,65,0 199,34,0 200,5,3,2,0 201,14,0 202,55,0 203,8,7,1,0 204,10,4,3,0 205,9,5,2,0 206,10,9,5,0 207,43,0 208,9,3,1,0 209,6,0 210,12,4,3,0 211,11,10,8,0 212,105,0 213,6,5,2,0 214,5,3,1,0 215,23,0 216,7,3,1,0 217,45,0 218,11,0 219,8,4,1,0 220,12,10,9,0 221,8,6,2,0 222,8,5,2,0 223,33,0 224,12,7,2,0 225,32,0 226,10,7,3,0 227,10,9,4,0 228,12,11,2,0 229,10,4,1,0 230,8,7,6,0 231,26,0 232,11,9,4,0 233,74,0 234,31,0 235,9,6,1,0 236,5,0 237,7,4,1,0 238,5,2,1,0 239,36,0 240,8,5,3,0 241,70,0 242,11,6,1,0 243,8,5,1,0 244,9,4,1,0 245,6,4,1,0 246,11,2,1,0 247,82,0 248,15,14,10,0 249,86,0 250,103,0 251,7,4,2,0 252,67,0 253,7,3,2,0 254,7,2,1,0 255,52,0 256,10,5,2,0 257,12,0 258,83,0 259,10,6,2,0 260,10,8,7,0 261,7,6,4,0 262,9,8,4,0 263,93,0 264,10,9,1,0 265,42,0 266,47,0 267,8,6,3,0 268,25,0 269,7,6,1,0 270,53,0 271,58,0 272,9,6,2,0 273,23,0 274,67,0 275,11,10,9,0 276,6,3,1,0 277,12,6,3,0 278,5,0 279,5,0 280,9,5,2,0 281,93,0 282,35,0 283,12,7,5,0 284,119,0 285,10,7,5,0 286,69,0 287,71,0 288,11,10,1,0 289,21,0 290,5,3,2,0 291,12,11,5,0 292,97,0 293,11,6,1,0 294,61,0 295,48,0 296,11,9,4,0 297,5,0 298,11,8,4,0 299,11,6,4,0 300,7,0 301,9,5,2,0 302,41,0 303,13,12,6,0 304,11,2,1,0 305,102,0 306,7,3,1,0 307,8,4,2,0 308,15,9,2,0 309,10,6,4,0 310,8,5,1,0 311,7,5,3,0 312,11,10,5,0 313,79,0 314,15,0 315,10,9,1,0 316,135,0 317,7,4,2,0 318,8,6,5,0 319,36,0 320,4,3,1,0 321,31,0 322,67,0 323,10,3,1,0 324,6,4,3,0 325,10,5,2,0 326,10,3,1,0 327,34,0 328,9,7,5,0 329,50,0 330,8,7,2,0 331,10,6,2,0 332,123,0 333,2,0 334,7,4,1,0 335,10,7,2,0 336,7,4,1,0 337,55,0 338,6,3,2,0 339,16,10,7,0 340,11,4,3,0 341,14,11,5,0 342,125,0 343,75,0 344,11,10,6,0 345,22,0 346,11,7,2,0 347,11,10,3,0 348,8,7,4,0 349,6,5,2,0 350,53,0 351,34,0 352,13,11,6,0 353,69,0 354,14,13,5,0 355,6,5,1,0 356,10,9,7,0 357,11,10,2,0 358,14,8,7,0 359,68,0 360,26,25,1,0 361,7,4,1,0 362,63,0 363,8,5,3,0 364,67,0 365,9,6,5,0 366,29,0 367,21,0 368,17,9,7,0 369,91,0 370,139,0 371,8,3,2,0 372,15,7,3,0 373,8,7,2,0 374,8,6,5,0 375,16,0 376,8,7,5,0 377,41,0 378,43,0 379,10,8,5,0 380,47,0 381,5,2,1,0 382,81,0 383,90,0 384,16,15,6,0 385,6,0 386,83,0 387,9,8,2,0 388,14,3,1,0 389,10,9,5,0 390,89,0 391,28,0 392,13,10,6,0 393,7,0 394,135,0 395,11,6,5,0 396,25,0 397,12,7,6,0 398,14,6,5,0 399,86,0 400,5,3,2,0以上。
很久没来的老狼