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
Contributor : Alexander Zeh <>
Submitted on : Monday, January 26, 2015 - 8:46:36 PM Last modification on : Sunday, December 31, 2017 - 9:44:02 AM Long-term archiving on: : Monday, April 27, 2015 - 11:00:36 AM
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⟩