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New constructions of a family of 2-generator quasi-cyclic two-weight codes and related codes
Kristianstad University, School of Engineering. (Datalogi)ORCID iD: 0000-0002-2492-7754
2007 (English)In: Proc. of 2007 IEEE Internat. Symp. on Inform. Theory, Piscataway, NJ: IEEE , 2007, p. 2191-2195Conference paper, Published paper (Refereed)
Abstract [en]

Based on cyclic simplex codes, a new construction of a family of two-weight codes is given. These two-weight codes are in a simple 2-generator quasi-cyclic form. Based on this construction, new optimal binary quasi-cyclic [195, 8, 96], [210, 8, 104] and [240, 8, 120] codes, good QC ternary  [195, 6, 126], [208, 6, 135], [221, 6, 144] codes are thus obtained. It was also shown that some codes that meet the Griesmer bound and thus are optimal. Furthermre, binary  self-complementary codes in a 3-generator quasi-cyclic form,  are also constructed.

Place, publisher, year, edition, pages
Piscataway, NJ: IEEE , 2007. p. 2191-2195
Keywords [en]
codes and coding, simplex codes, quasi-cyclic codes
National Category
Computer Sciences
Identifiers
URN: urn:nbn:se:hkr:diva-6824ISI: 000257010201004ISBN: 978-1-4244-1397-3 (print)OAI: oai:DiVA.org:hkr-6824DiVA, id: diva2:327538
Conference
2007 IEEE International Symposium on Information Theory, Nice, France, 24-29 June 2007
Available from: 2010-06-29 Created: 2010-06-29 Last updated: 2018-01-12Bibliographically approved

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Chen, Eric Zhi

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
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  • de-DE
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