Journals / Turkish Journal of Mathematics / 2011 / Cilt: 35 - Sayı: 4

Cyclic codes over {Z2+uZ2+u2Z2+\ldots+uk-1Z2}

Pages
737–749
DOI
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Abstract

In this paper, we study the structure of cyclic codes of an arbitrary length n over the ring Z2+uZ2+u2Z2+\ldots+uk-1Z2, where uk=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].

Özet

In this paper, we study the structure of cyclic codes of an arbitrary length n over the ring Z2+uZ2+u2Z2+\ldots+uk-1Z2, where uk=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