• DocumentCode
    895016
  • Title

    Optimal self-dual codes over F2×F2 with respect to the Hamming weight

  • Author

    Betsumiya, Koichi ; Harada, Masaaki

  • Author_Institution
    Dept. of Bus. Inf. Sci., Jobu Univ., Gunma, Japan
  • Volume
    50
  • Issue
    2
  • fYear
    2004
  • Firstpage
    356
  • Lastpage
    358
  • Abstract
    In this paper, we study optimal self-dual codes and type IV self-dual codes over the ring F2×F2 of order 4. We give improved upper bounds on minimum Hamming and Lee weights for such codes. Using the bounds, we determine the highest minimum Hamming and Lee weights for such codes of lengths up to 30. We also construct optimal self-dual codes and type IV self-dual codes.
  • Keywords
    Hamming codes; dual codes; minimisation; Hamming weight; minimum Lee weight; optimal self-dual codes; type IV self-dual codes; upper bounds; Algebra; Computer science; Cryptography; Error correction codes; Galois fields; Hamming weight; Informatics; Linear code; Notice of Violation; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2003.822576
  • Filename
    1266812
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=895016