• DocumentCode
    76247
  • Title

    MDS Convolutional Codes Over a Finite Ring

  • Author

    El Oued, Mohammed ; Sole, Patrick

  • Author_Institution
    FSM Math Dept., Univ. of Monastir, Monastir, Tunisia
  • Volume
    59
  • Issue
    11
  • fYear
    2013
  • fDate
    Nov. 2013
  • Firstpage
    7305
  • Lastpage
    7313
  • Abstract
    In this paper, we present an analog of the Singleton bound for convolutional codes over finite rings. Codes meeting that bound are called MDS. A constructive method for the MDS codes, restricted to free codes, is presented via cyclic codes over finite rings. Examples of nonfree MDS codes are provided.
  • Keywords
    convolutional codes; cyclic codes; MDS convolutional codes; Singleton bound; cyclic codes; finite ring; Block codes; Convolutional codes; Educational institutions; Generators; Hamming distance; Polynomials; Vectors; Convolutional codes; MDS codes; cyclic codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2013.2277721
  • Filename
    6576233
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=76247