On the Statistical Properties of a Class of Linear Product Feedback Shift-Register Sequences

In this correspondence a brief discussion of some structural aspects of a class of linear product feedback shift-register sequences (fsrs) is given. The particular class concerns sequences with a characteristics polynomial that is the product of two relatively prime factors. The autocorrelation function of this class of sequences is evaluated. The results should prove useful to various applications of these sequence, as digital communication, pseudorandom sequences generators, etc.