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Your search keyword '"Abualrub, Taher"' showing total 2 results
2 results on '"Abualrub, Taher"'

1. Cyclic codes of length <f>2e</f> over <f>Z4</f>

Author

Abualrub, Taher and Oehmke, Robert

Subjects
*CYCLIC compounds, *CODING theory
Abstract

Cyclic codes of odd length over Z4 have been studied by many authors. But what is the form of cylic codes of even length? The structure of cyclic codes of length n=2e, for any positive integer e is considered. We show that any cyclic code is an ideal in the ring Rn=Z4[x]/〈xn−1〉. We show that the ring Rn is a local ring but not a principal ideal ring. Also, we find the set of generators for cyclic codes. Examples of cyclic codes of such length are given. [Copyright &y& Elsevier]

Published
2003
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2. One generator quasi-cyclic codes over

Author

Siap, Irfan, Abualrub, Taher, and Yildiz, Bahattin

Subjects
*MAPS, *LINEAR systems, *CODING theory, *SET theory, *RANKING, *MATHEMATICAL analysis
Abstract

Abstract: In this paper, we study quasi-cyclic codes over the ring where . By exploring their structure, we determine the type of one generator quasi-cyclic codes over R and the size by giving a minimal spanning set. We also determine the rank and introduce a lower bound for the minimum distance of free quasi-cyclic codes over . We include some examples of quasi-cyclic codes of various lengths over . In particular, we obtain a family of 2-quasi-cyclic codes from cyclic codes over the ring . Finally, using the Gray map we obtain a family of optimal binary linear codes as the images of quasi-cyclic codes over R. [Copyright &y& Elsevier]

Published
2012
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