Abstract : Linear quasi-cyclic product codes over finite fields are investigated. Given the generating set in the form of a reduced Gröbner basis of a quasi-cyclic component code and the generator polynomial of a second cyclic component code, an explicit expression of the basis of the generating set of the quasi-cyclic product code is given. Furthermore, the reduced Gröbner basis of a one-level quasi-cyclic product code is derived.
https://hal.inria.fr/hal-01109353
Contributeur : Alexander Zeh
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Soumis le : lundi 26 janvier 2015 - 20:46:36
Dernière modification le : dimanche 31 décembre 2017 - 09:44:02
Document(s) archivé(s) le : lundi 27 avril 2015 - 11:00:36
Alexander Zeh, San Ling. Construction of Quasi-Cyclic Product Codes. 10th International ITG Conference on Systems, Communications and Coding (SCC), Feb 2015, Hamburg, Germany. 〈hal-01109353v2〉
