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Z2Z4Z8-Cyclic Codes

2017/04/24 by İsmail Aydoğdu, Aydogdu, Ismail, Fatmanur Gürsoy +1
Computer Science · Social Sciences · #Coding theory and cryptography #Islamic Finance and Communication #Cooperative Communication and Network Coding

paper · pdf · doi:10.48550/arxiv.1704.07162

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.

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