• DocumentCode
    1559338
  • Title

    On the performance of the ternary [13, 7, 5] quadratic-residue code

  • Author

    Baicheva, Tsonka ; Dodunekov, Stefan ; Koetter, Ralf

  • Author_Institution
    Inst. of Math. & Inf., Bulgarian Acad. of Sci., Sofia, Bulgaria
  • Volume
    48
  • Issue
    2
  • fYear
    2002
  • fDate
    2/1/2002 12:00:00 AM
  • Firstpage
    562
  • Lastpage
    564
  • Abstract
    We investigate the weight structure and error-correcting performance of the ternary [13, 7, 5] quadratic-residue code. It is shown that the covering radius of the code is equal to three and it is t-proper for error correction for any t=0, 1, 2. Two decoding algorithms are suggested
  • Keywords
    BCH codes; decoding; error correction codes; residue codes; ternary codes; BCH code; Bose-Chaudhuri-Hocquenghem code; algebraic decoding algorithms; covering radius; error positions; error-correcting performance; table lookup; ternary quadratic-residue code; weight structure; Decoding; Error correction; Error correction codes; Galois fields; Hamming distance; Informatics; Mathematics; Memoryless systems; Polynomials; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.979334
  • Filename
    979334