• DocumentCode
    259660
  • Title

    A note on weight distributions of irreducible cyclic codes

  • Author

    Chunming Tang ; Yanfeng Qi ; Maozhi Xu ; Baocheng Wang ; Yixian Yang

  • Author_Institution
    School of Mathematics and Information, China West Normal University, Sichuan Nanchong, 637002, China
  • fYear
    2014
  • fDate
    15-17 May 2014
  • Firstpage
    1
  • Lastpage
    8
  • Abstract
    Usually, it is difficult to determine the weight distribution of an irreducible cyclic code. In this paper, we discuss the case that an irreducible cyclic code has the maximal number of distinct nonzero weights and give a necessary and sufficient condition. In this case, we also obtain a divisible property for the weight of a codeword. Further, we present a necessary and sufficient condition for an irreducible cyclic code with only one nonzero weight. Finally, we determine the weight distribution of an irreducible cyclic code for some cases.
  • Keywords
    Cyclotomic fields; Gauss sums; Gaussian periods; irreducible cyclic codes; weight distributions;
  • fLanguage
    English
  • Publisher
    iet
  • Conference_Titel
    Information and Communications Technologies (ICT 2014), 2014 International Conference on
  • Conference_Location
    Nanjing, China
  • Type

    conf

  • DOI
    10.1049/cp.2014.0606
  • Filename
    6913659
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=259660