• DocumentCode
    802771
  • Title

    Strongly-MDS convolutional codes

  • Author

    Gluesing-Luerssen, Heide ; Rosenthal, Joachim ; Smarandache, Roxana

  • Author_Institution
    Dept. of Math., Univ. of Groningen, Netherlands
  • Volume
    52
  • Issue
    2
  • fYear
    2006
  • Firstpage
    584
  • Lastpage
    598
  • Abstract
    Maximum-distance separable (MDS) convolutional codes have the property that their free distance is maximal among all codes of the same rate and the same degree. In this paper, a class of MDS convolutional codes is introduced whose column distances reach the generalized Singleton bound at the earliest possible instant. Such codes are called strongly-MDS convolutional codes. They also have a maximum or near-maximum distance profile. The extended row distances of these codes will also be discussed briefly.
  • Keywords
    convolutional codes; error correction codes; maximum principle; MDS; convolutional code; extended row distance; generalized Singleton bound; maximum-distance separable code; near-maximum distance profile; Block codes; Books; Building materials; Concrete; Convolutional codes; Decoding; Information theory; Mathematics; Upper bound; Viterbi algorithm; Column distances; convolutional codes; extended row distances; maximum-distance separable (MDS) codes; superregular matrices; unit memory codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2005.862100
  • Filename
    1580796