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New quasi-cyclic codes from simplex codes
Kristianstad University, School of Engineering.ORCID iD: 0000-0002-2492-7754
2007 (English)In: IEEE Transactions on Information Theory, ISSN 0018-9448, Vol. 53, no 3, 1193-1196 p.Article in journal (Refereed) Published
Abstract [en]

As a generalization of cyclic codes, quasi-cyclic (QC) codes contain many good linear codes. But quasi-cyclic codes studied so far are mainly limited to one generator (1-generator) QC codes. In this correspondence, 2-generator and 3-generator QC codes are studied, and many good, new QC codes are constructed from simplex codes. Some new binary QC codes or related codes, that improve the bounds on maximum minimum distance for binary linear codes are constructed. They are 5-generator QC [93 17 34] and [254,23, 102] codes, and related [96, 17, 361, [256, 23,104] codes.

Place, publisher, year, edition, pages
2007. Vol. 53, no 3, 1193-1196 p.
Keyword [en]
Binary linear codes, quasi-cyclic codes, simplex codes
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hkr:diva-198DOI: 10.1109/TIT.2006.890727ISI: 000244497100026ISBN: 0018-9448 (print)OAI: oai:DiVA.org:hkr-198DiVA: diva2:173807
Available from: 2009-02-17 Created: 2009-02-11 Last updated: 2014-03-20Bibliographically approved

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