Construction and Realization of a New Class M-Sequence

The m-Sequences have been widely used in many areas such as telecommunication, cryptology, navigation and radar. Due to the difficulties of constructing the feedback functions of M-sequences, a new method of constructing one class M-sequence and its feedback function were presented. A sub-function Y was formed by remodeling the M root-sequence states diagram. To affix sub-function y to the feedback function f_M of M root-sequence, a new class M-sequence feedback function f´_M was obtained. Meanwhile, the corresponding analysis demonstrates that this type of sequence has the desirable pseudorandom characteristic. The sequences are realized in practice and proved to be satisfactory and desirable.