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Construction of Quasi-Cyclic Product Codes

Alexander Zeh 1 San Ling 2
1 Technion - Israel Institute of Technology [Haifa]
2 Division of Mathematical Sciences [Singapore]
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.
Keywords : submodule Gröbner basis module minimization quasi-cyclic code product code
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Conference papers
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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

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  • HAL Id : hal-01109353, version 2
  • ARXIV : 1501.06543

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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⟩

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