Cyclic codes over {Z_2+uZ_2+u^2Z_2+\ldots+u^{k-1}Z_2}

Authors

MOHAMMED AL ASHKER
MOHAMMED HAMOUDEH

DOI

10.3906/mat-1001-71

Abstract

In this paper, we study the structure of cyclic codes of an arbitrary length n over the ring Z_2+uZ_2+u^2Z_2+\ldots+u^{k-1}Z_2, where u^k=0. Also we study the rank for these codes, and we find their minimal spanning sets. This study is a generalization and extension of the work in reference [1].

Keywords

Cyclic codes, Codes over rings, Hamming weight

First Page

737

Last Page

749

Recommended Citation

ASHKER, MOHAMMED AL and HAMOUDEH, MOHAMMED (2011) "Cyclic codes over {Z_2+uZ_2+u^2Z_2+\ldots+u^{k-1}Z_2}," Turkish Journal of Mathematics: Vol. 35: No. 4, Article 14. https://doi.org/10.3906/mat-1001-71
Available at: https://journals.tubitak.gov.tr/math/vol35/iss4/14