hkr.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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
New binary h-generator quasi-cyclic codes by augmentation and new minimum distance bounds
Kristianstad University, School of Health and Society, Avdelningen för Design och datavetenskap.ORCID iD: 0000-0002-2492-7754
2016 (English)In: Designs, Codes and Cryptography, ISSN 0925-1022, E-ISSN 1573-7586, Vol. 80, no 1, p. 1-10Article in journal (Refereed) Published
Abstract [en]

An [n, k, d] code is a binary linear code of block length n, dimension k and minimum Hamming distance d. Since the minimum distance determines the error detection or correction capability, it is desired that d is as large as possible for the given block length n and dimension k. One of the most fundamental problems in coding theory is to construct codes with best possible minimum distances. This problem is very difficult in both theory and practice. During the last decades, it has proved that the class of quasi-cyclic (QC) codes contain many such codes. In this paper, augmentation of binary QC codes is studied. A new augmentation algorithm is presented, and 10 new h-generator QC codes that are better than previously known code have been constructed. Furthermore, Construction X has been applied to obtain another 18 new improved binary linear codes.With the standard construction techniques, a total of 124 new binary linear codes that improve the lower bound on the minimum distance have been obtained.

Place, publisher, year, edition, pages
2016. Vol. 80, no 1, p. 1-10
Keywords [en]
Best-known codes, Coding theory, Search algorithm, Linear codes, Quasi-cyclic codes, Construction X
National Category
Computer Sciences
Identifiers
URN: urn:nbn:se:hkr:diva-13742DOI: 10.1007/s10623-015-0059-5ISI: 000377188000001OAI: oai:DiVA.org:hkr-13742DiVA, id: diva2:797643
Available from: 2015-03-24 Created: 2015-03-24 Last updated: 2018-01-11Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Authority records

Chen, Eric Zhi

Search in DiVA

By author/editor
Chen, Eric Zhi
By organisation
Avdelningen för Design och datavetenskap
In the same journal
Designs, Codes and Cryptography
Computer Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 317 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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