• DocumentCode
    314025
  • Title

    Algebraic-geometric codes over Z4

  • Author

    Shanbhag, Abhijit G. ; Kumar, P. Vijay

  • Author_Institution
    Qualcomm Inc., San Diego, CA, USA
  • fYear
    1997
  • fDate
    29 Jun-4 Jul 1997
  • Firstpage
    206
  • Abstract
    A new class of Z4-linear codes is constructed using algebraic-geometric tools and studied. Several known Z4-linear codes arise as special cases with an underlying rational function field. Sharp bounds for the dimension and minimum Lee weights of these codes, including what may be interpreted as the BCH and Goppa bounds for Z4-linear codes, are derived and some efficient codes are presented
  • Keywords
    BCH codes; Galois fields; Goppa codes; algebraic geometric codes; linear codes; BCH bounds; Galois ring; Goppa bounds; Z4 codes; algebraic-geometric codes; code dimension; linear codes; minimum Lee weights; sharp bounds; underlying rational function field; Galois fields;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
  • Conference_Location
    Ulm
  • Print_ISBN
    0-7803-3956-8
  • Type

    conf

  • DOI
    10.1109/ISIT.1997.613121
  • Filename
    613121
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=314025