• DocumentCode
    2490948
  • Title

    Cyclic codes over a linear companion of Z4

  • Author

    Udaya, P. ; Bonnecaze, A.

  • Author_Institution
    Dept. of Math., R. Melbourne Inst. of Technol., Vic., Australia
  • fYear
    1998
  • fDate
    16-21 Aug 1998
  • Firstpage
    398
  • Abstract
    We introduce linear cyclic codes over the ring R=F2+uF 2={0,1,u,u¯=u+1}, where u2=0. This ring shares many properties of Z4 and F4 and admits a linear “Gray map”. Self-dual cyclic codes of odd length exists as in the case of Z4-codes. We give a BCH-like bound for these codes and describe a simple algebraic decoding procedure
  • Keywords
    binary codes; cyclic codes; decoding; dual codes; linear codes; BCH-like bound; Z4-codes; algebraic decoding; binary codes; linear Gray map; linear cyclic codes; odd length codes; self-dual cyclic codes; Algebra; Australia; Binary codes; Decoding; Linear code; Mathematics; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
  • Conference_Location
    Cambridge, MA
  • Print_ISBN
    0-7803-5000-6
  • Type

    conf

  • DOI
    10.1109/ISIT.1998.709003
  • Filename
    709003
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2490948