• DocumentCode
    2976209
  • Title

    Negacyclic MDS codes over GR(2a,m)

  • Author

    Zhu, Shixin ; Kai, Xiaoshan ; Li, Ping

  • Author_Institution
    Dept. of Math., Hefei Univ. of Technol., Hefei, China
  • fYear
    2009
  • fDate
    June 28 2009-July 3 2009
  • Firstpage
    1730
  • Lastpage
    1733
  • Abstract
    Using Reed-Solomon codes and cyclic MDS codes of length 2m + 1 over F2m, we obtain several classes of negacyclic MDS codes over GR(2a, m) of lengths 2m - 1 and 2m + 1 as analogues of Hensel lifts of these codes.
  • Keywords
    Galois fields; Reed-Solomon codes; cyclic codes; GR; Galois ring; Hensel lift; Reed-Solomon code; maximum distance separable code; negacyclic MDS code; Binary codes; Code standards; Kernel; Linear code; Mathematics; Polynomials; Reed-Solomon codes;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2009. ISIT 2009. IEEE International Symposium on
  • Conference_Location
    Seoul
  • Print_ISBN
    978-1-4244-4312-3
  • Electronic_ISBN
    978-1-4244-4313-0
  • Type

    conf

  • DOI
    10.1109/ISIT.2009.5205253
  • Filename
    5205253