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|Title||Idempotent generators of cyclic and quadratic residue codes over|
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.
|Published in||IUG Journal for Natural and Engineering Studies|
|Series||Volume: 21, Number: 1|
|Publisher||الجامعة الإسلامية - غزة|
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