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An explicit construction of 2-generator quasi-twisted codes
Kristianstad University, School of Engineering.ORCID iD: 0000-0002-2492-7754
2008 (English)In: IEEE Transactions on Information Theory, ISSN 0018-9448, E-ISSN 1557-9654, Vol. 54, no 12, p. 5770-5773Article in journal (Refereed) Published
Abstract [en]

Quasi-twisted (QT) codes are a generalization of quasi-cyclic (QC) codes. Based on consta-cyclic simplex codes, a new explicit construction of a family of 2-generator quasi-twisted (QT) two-weight codes is presented. It is also shown that many codes in the family meet the Griesmer bound and therefore are length-optimal. New distance-optimal binary QC [195, 8, 96], [210, 8, 104] and [240, 8, 120] codes, and good ternary QC [208, 6, 135] and [221, 6, 144] codes are also obtained by the construction.

Place, publisher, year, edition, pages
2008. Vol. 54, no 12, p. 5770-5773
Keyword [en]
Linear codes, optimal codes, quasi-cyclic codes, quasi-twisted codes, simplex codes
National Category
Computer and Information Sciences Engineering and Technology
Identifiers
URN: urn:nbn:se:hkr:diva-82ISI: 000261648100034OAI: oai:DiVA.org:hkr-82DiVA, id: diva2:134409
Available from: 2009-02-09 Created: 2009-01-20 Last updated: 2018-01-13Bibliographically approved

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Chen, Eric Zhi

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