• DocumentCode
    1051412
  • Title

    On Construction of the (24, 12, 8) Golay Codes

  • Author

    Peng, Xiao-Hong ; Farrell, Paddy G.

  • Author_Institution
    Electron. Eng. Subject Group, Aston Univ., Birmingham
  • Volume
    52
  • Issue
    8
  • fYear
    2006
  • Firstpage
    3669
  • Lastpage
    3675
  • Abstract
    Two product array codes are used to construct the (24,12,8) binary Golay code through the direct sum operation. This construction provides a systematic way to find proper (8,4,4) linear block component codes for generating the Golay code, and it generates and extends previously existing methods that use a similar construction framework. The code constructed is simple to decode
  • Keywords
    Golay codes; binary codes; block codes; decoding; linear codes; product codes; Golay code construction; binary code; decoding; direct sum operation; linear block component code; product array code; Block codes; Concrete; Cyclic redundancy check; Decoding; Error probability; Feedback communications; Information theory; Mathematics; Universal Serial Bus; Array codes; Golay codes; block codes; code construction; direct sum;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2006.876247
  • Filename
    1661843