Construction of Quasi-Cyclic Product Codes
Autor: | Zeh, Alexander, Ling, San |
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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 |
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