Z2Z4Z8-Cyclic Codes
Information Theory
2017-04-25 v1 math.IT
Abstract
In this paper we study Z2Z4Z8-additive codes, which are the extension of recently introduced Z2Z4-additive codes. We determine the standard forms of the generator and parity-check matrices of Z2Z4Z8-additive codes. Moreover, we investigate Z2Z4Z8-cyclic codes giving their generator polynomials and spanning sets. We also give some illustrative examples of both Z2Z4Z8-additive codes and Z2Z4Z8-cyclic codes.
Cite
@article{arxiv.1704.07162,
title = {Z2Z4Z8-Cyclic Codes},
author = {Ismail Aydogdu and Fatmanur Gursoy},
journal= {arXiv preprint arXiv:1704.07162},
year = {2017}
}