• DocumentCode
    1355918
  • Title

    New ternary quasi-cyclic codes with better minimum distances

  • Author

    Siap, Irfan ; Aydin, Nuh ; Ray-Chaudhuri, Dijen K.

  • Author_Institution
    Dept. of Math., Ohio State Univ., Columbus, OH, USA
  • Volume
    46
  • Issue
    4
  • fYear
    2000
  • fDate
    7/1/2000 12:00:00 AM
  • Firstpage
    1554
  • Lastpage
    1558
  • Abstract
    One of the most important problems of coding theory is to construct codes with best possible minimum distances. In this article, using the structure of quasi-cyclic (QC) codes with a BCH-type bound given by Lally and Fitzpatrick (see WCC ´99, Workshop on Coding and Cryptography, Paris, France, 1999), we have found 20 new ternary quasi-cyclic codes with improved minimum distances
  • Keywords
    cyclic codes; linear codes; ternary codes; BCH-type bound; coding theory; generator matrices; linear code; minimum distances; new codes; ternary quasi-cyclic codes; Geometry; HTML; Hamming distance; Linear code; Testing; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.850694
  • Filename
    850694