Please use this identifier to cite or link to this item: https://doi.org/10.1109/TIT.2005.850142
Title: On the algebraic structure of quasi-cyclic codes III: Generator theory
Authors: Ling, S. 
Solé, P.
Keywords: Automorphism group
Chinese Remainder Theorem (CRT)
Discrete Fourier transform (DFT)
Quasi-cyclic codes
Self-dual codes
Issue Date: Jul-2005
Source: Ling, S., Solé, P. (2005-07). On the algebraic structure of quasi-cyclic codes III: Generator theory. IEEE Transactions on Information Theory 51 (7) : 2692-2700. ScholarBank@NUS Repository. https://doi.org/10.1109/TIT.2005.850142
Abstract: Following Parts I and II, quasi-cyclic codes of given index are studied as codes over a finite polynomial ring. These latter codes are decomposed by the Chinese Remainder Theorem (CRT), or equivalently the Mattson-Solomon transform, into products of shorter codes over larger alphabets. We characterize and enumerate self-dual one-generator quasi-cyclic codes in that context. We give an algorithm to remove some equivalent codes from that enumeration. A generalization to multigenerator codes is sketched. © 2005 IEEE.
Source Title: IEEE Transactions on Information Theory
URI: http://scholarbank.nus.edu.sg/handle/10635/103768
ISSN: 00189448
DOI: 10.1109/TIT.2005.850142
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