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Some new binary codes with improved minimum distances
Kristianstad University, Faculty of Natural Science, Avdelningen för datavetenskap.ORCID iD: 0000-0002-2492-7754
2018 (English)In: Journal of Algebra Combinatorics Discrete Structures and Applications, ISSN 2148-838X, Vol. 5, no 2, p. 65-70Article in journal (Refereed) Published
Abstract [en]

It has been well-known that the class of quasi-cyclic (QC) codes contain many good codes. In thispaper, a method to conduct a computer search for binary 2-generator QC codes is presented, anda large number of good 2-generator QC codes have been obtained. 5 new binary QC codes thatimprove the lower bounds on minimum distance are presented. Furthermore, with new 2-generatorQC codes and Construction X, 2 new improved binary linear codes are obtained. With the standardconstruction techniques, another 16 new binary linear codes that improve the lower bound on theminimum distance have also been obtained.

Place, publisher, year, edition, pages
2018. Vol. 5, no 2, p. 65-70
Keyword [en]
Binary linear codes, Quasi-cyclic codes, Algorithms
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:hkr:diva-17931DOI: 10.13069/jacodesmath.00000OAI: oai:DiVA.org:hkr-17931DiVA, id: diva2:1191661
Available from: 2018-03-19 Created: 2018-03-19 Last updated: 2018-03-21Bibliographically approved

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Chen, Eric Zhi
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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf