Properties of Nonsingular Feedback Functions Generated M Sequences over F_2+vF_2
Xia Zhang · College Mathematics · 2008
M sequences are the longest nonlinear pseudo-random sequences.The following three properties of feedback functions f(x_1,x_2,…,x_n) of M sequences over F_2+vF_2 are given: 1) Rf≠f;2) D_if are different feedback functions of M sequences;3) In polynomial expression of f(x_1,x_2,…,x_n),the constant term j_0≠0;The coefficients of linear terms x_2,x_3,…,x_n can not all be 1 or j_0 if they are all appeared.