Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/96414
Title: On the algebraic structure of quasi-cyclic codes III : generator theory
Authors: Ling, San
Sole, Patrick
Keywords: DRNTU::Engineering::Computer science and engineering::Computing methodologies::Symbolic and algebraic manipulation
Issue Date: 2005
Source: Ling, S., & Solé, P. (2005). On the Algebraic Structure of Quasi-Cyclic Codes III: Generator Theory. IEEE Transactions on Information Theory, 51(7), 2692-2700.
Series/Report no.: IEEE transactions on information theory
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.
URI: https://hdl.handle.net/10356/96414
http://hdl.handle.net/10220/9826
ISSN: 0018-9448
DOI: 10.1109/TIT.2005.850142
Rights: © 2005 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: [http://dx.doi.org/10.1109/TIT.2005.850142].
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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