• DocumentCode
    914880
  • Title

    Nonbinary negacyclic code which exceeds Berlekamp´s (p--1)/2 bound

  • Author

    Kelsch, R.G. ; Green, D.H.

  • Author_Institution
    University of Manchester Institute of Science & Technology, Department of Electrical Engineering & Electronics, Manchester, UK
  • Volume
    7
  • Issue
    22
  • fYear
    1971
  • Firstpage
    664
  • Lastpage
    665
  • Abstract
    An unsolved problem in coding theory is the determination of p-nary codes in the Lee metric which will correct more than (p--1)/2 errors. This letter describes a ternary double-error-correcting code which exceeds this bound and which leads to a conjecture for doubling this bound in the general p-nary case, p being a prime.
  • Keywords
    codes; error correction; Berlekamp´s (p-1)/2 bound; error correction codes; nonbinary megacyclic code;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:19710454
  • Filename
    4235358