论文部分内容阅读
本文引进LSR_g[d,k]——自控序列模型,作为对冯克勤、李超在文献[1]中广义[d,k]——自控序列的推广形式。对于a为n级M序列和n级收缩M序列情形,讨论了LS_g[1,2]——自控序列平移等价特性,证明了对任意素数p(2~(n-1)≤P≤2-1),总存在n元布尔函数g(x_1,x_2,…x_n),使得其LSR_g[1,2]——自控序列周期为p,并给出了求此布尔函数的算法。
In this paper, the LSR_g [d, k] -automatic control sequence model is introduced as a generalization of the generalized [d, k] -autonically controlled sequences in [1] by Feng Keqin and Li Chao. For a case of n-stage M-order and n-stage shrinkage M sequences, the equivalent characteristics of translation of LS_g [1,2] -autonically controlled sequences are discussed. It is proved that for every prime number p (2 ~ (n-1) -1), there always exists a n-ary Boolean function g (x_1, x_2, ... x_n) such that its LSR_g [1,2] - self-control sequence period is p, and an algorithm for finding this Boolean function is given.