A General Approach to Construction and Determination of the Linear Complexity of Sequences Based on Cosets

Purchase on Springer.com

$29.95 / €24.95 / £19.95*

* Final gross prices may vary according to local VAT.

Get Access

Abstract

We give a general approach to N-periodic sequences over a finite field $\mathbb F_q$ constructed via a subgroup D of the group of invertible elements modulo N. Well known examples are Legendre sequences or the two-prime generator. For some generalizations of sequences considered in the literature and for some new examples of sequence constructions we determine the linear complexity.