• DocumentCode
    928987
  • Title

    On quasi-cyclic codes with rate l m (Corresp.)

  • Author

    van Tilborg, H.

  • Volume
    24
  • Issue
    5
  • fYear
    1978
  • fDate
    9/1/1978 12:00:00 AM
  • Firstpage
    628
  • Lastpage
    630
  • Abstract
    An integer linear programming problem and an additional divisibility condition are described such that they have a common solution if and only if there is a quasi-cyclic code with rate 1/m . A table of binary quasi-cyclic codes with dimensions seven and eight and rate 1/m for small m is included. In particular, there are binary linear codes with (length, dimension, minimum distance) =(35, 7,16), (42, 7,19), (80, 8, 37), (96, 8, 46) , and (112,8,54) .
  • Keywords
    Cyclic codes; Decoding; Error correction codes; Hamming distance; Linear code; Mathematics; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1978.1055929
  • Filename
    1055929
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=928987