• DocumentCode
    1443242
  • Title

    Maximum distance codes over rings of order 4

  • Author

    Dougherty, Steven T. ; Shiromoto, Keisuke

  • Author_Institution
    Dept. of Math., Scranton Univ., PA, USA
  • Volume
    47
  • Issue
    1
  • fYear
    2001
  • fDate
    1/1/2001 12:00:00 AM
  • Firstpage
    400
  • Lastpage
    404
  • Abstract
    In this correspondence, we study bounds on the Euclidean, Hamming, Lee, and Bachoc weights of codes over rings of order 4 similar to the Singleton bound and investigate the relationship between these bounds. Moreover, we give some characterizations of the codes meeting these bounds
  • Keywords
    binary codes; codes; Bachoc weights; Euclidean weights; Hamming weights; Lee weights; Singleton bound; bounds; codes over rings; maximum distance separable codes; Galois fields; Hamming weight; Lattices; Linear code; Mathematics; Modules (abstract algebra); Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.904544
  • Filename
    904544
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1443242