• DocumentCode
    991499
  • Title

    An Explicit Construction of 2 -Generator Quasi-Twisted Codes

  • Author

    Chen, E.Z.

  • Author_Institution
    Dept. of Comput. Sci., Kristianstad Univ. Coll., Kristianstad
  • Volume
    54
  • Issue
    12
  • fYear
    2008
  • Firstpage
    5770
  • Lastpage
    5773
  • Abstract
    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.
  • Keywords
    binary codes; cyclic codes; ternary codes; 2-generator quasi-twisted codes; Griesmer bound; consta-cyclic simplex codes; distance-optimal binary QC; quasi-cyclic codes; ternary QC; two-weight codes; Algebra; Error correction codes; Polynomials; Linear codes; optimal codes; quasi-cyclic codes; quasi-twisted codes; simplex codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2008.2006430
  • Filename
    4675723
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=991499