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Cyclic codes over Z(2) + uZ(2) + u(2)Z(2) + ... + uk-1Z(2)
Journal article   Open access  Peer reviewed

Cyclic codes over Z(2) + uZ(2) + u(2)Z(2) + ... + uk-1Z(2)

Mohammed Al-Ashker and Mohammed Hamoudeh
Turkish journal of mathematics, Vol.35(4), pp.737-749
01/01/2011
DOI: https://doi.org/10.3906/mat-1001-71

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we study the structure of cyclic codes of an arbitrary length n over the ring Z(2) + uZ(2) + u(2)Z(2) + ... + 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].
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https://doi.org/10.3906/mat-1001-71View
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