• DocumentCode
    1459285
  • Title

    Orbit and coset analysis of the Golay and related codes

  • Author

    Conway, J.H. ; Sloane, N. J A

  • Author_Institution
    Math. Dept., Princeton Univ., NJ, USA
  • Volume
    36
  • Issue
    5
  • fYear
    1990
  • fDate
    9/1/1990 12:00:00 AM
  • Firstpage
    1038
  • Lastpage
    1050
  • Abstract
    Let b be a code of length n over a field F , with automorphism group G; bw denotes the subset of codewords of weight w. The goal is to classify the vectors of Fn into orbits under G and to determine their distances from the various subcodes b w. This is done for the first-order Reed-Muller, Nordstrom-Robinson, and Hamming codes of length 16, the Golay and shortened Golay codes of lengths 22, 23, 24, and the ternary Golay code of length 12
  • Keywords
    error correction codes; Golay codes; Hamming codes; Nordstrom-Robinson codes; Reed-Muller codes; codewords; coset analysis; orbit analysis; subcodes; Extraterrestrial measurements; Mathematics;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.57203
  • Filename
    57203
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1459285