Construction of Quasi-Cyclic Product Codes

Autor: Zeh, Alexander, Ling, San
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
Popis: Linear quasi-cyclic product codes over finite fields are investigated. Given the generating set in the form of a reduced Gr{\"o}bner 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 Gr{\"o}bner basis of a one-level quasi-cyclic product code is derived.
Comment: 10th International ITG Conference on Systems, Communications and Coding (SCC), Feb 2015, Hamburg, Germany
Databáze: arXiv