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http://hdl.handle.net/20.500.12358/24057
Title | Idempotent generators of cyclic and quadratic residue codes over |
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Untitled | |
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 | |
Type | Journal Article |
Date | 2013 |
Language | English |
Published in | IUG Journal for Natural and Engineering Studies |
Series | Volume: 21, Number: 1 |
Publisher | الجامعة الإسلامية - غزة |
Citation | |
License | ![]() |
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