Title of article
Cyclic codes over Z2 + uZ2 + u2 Z2 + . . . + uk−1 Z2
Author/Authors
Al-Ashker, Mohammed Islamic University of Gaza - Department of Mathematics, PALESTINE , Hamoudeh, Mohammed Ministry of education, PALESTINE
From page
737
To page
749
Abstract
In this paper, we study the structure of cyclic codes of an arbitrary length n over the ring Z2 + uZ2 + u2 Z2 + ...+ u k−1 Z2 , 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
Journal title
Turkish Journal of Mathematics
Journal title
Turkish Journal of Mathematics
Record number
2530963
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