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http://hdl.handle.net/20.500.12358/24057
TitleIdempotent generators of cyclic and quadratic residue codes over
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Abstract

In this paper we study idempotent generators of cyclic codes and quadratic residue codes over R = , where and . The forms of some idempotents over this ring are given, the quadratic residue codes are defined in forms of the idempotent generators, and the relation between them and their ex- tended codes is discussed as well as their duality. The specific forms of idempotent generators of quadratic residue codes of lengths 11 and 13 over the ring R are as-certained. AMS: Mathematics Classification 2010: Primary 94B05, secondary 51E22. Key words: Cyclic codes, Quadratic residue codes, Idempotent generators, dual codes.

Authors
Al-Ashker, Mohammed M.
TypeJournal Article
Date2013
LanguageEnglish
Subjects
secondary 11h71 cyclic codes
quadratic residue codes
idempotent gen- erators
ams: subject classification 2010: primary 94b05
dual codes
Published inIUG Journal for Natural and Engineering Studies
SeriesVolume: 21, Number: 1
Publisherالجامعة الإسلامية - غزة
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  • Staff Publications- Faculty of Science [1066]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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