• DocumentCode
    33075
  • Title

    Evaluation of the Weight Distribution of a Class of Cyclic Codes Based on Index 2 Gauss Sums

  • Author

    Tao Feng ; Momihara, Koji

  • Author_Institution
    Dept. of Math., Zhejiang Univ., Hangzhou, China
  • Volume
    59
  • Issue
    9
  • fYear
    2013
  • fDate
    Sept. 2013
  • Firstpage
    5980
  • Lastpage
    5984
  • Abstract
    The duals of cyclic codes with two zeros have been extensively studied, and their weight distributions have recently been evaluated in some cases. In this paper, we determine the weight distribution of a certain new class of such codes by computations involving index 2 Gauss sums.
  • Keywords
    cyclic codes; cyclic codes; index 2 Gauss sums; weight distribution; Additives; Educational institutions; Galois fields; Indexes; Information theory; Polynomials; Cyclic code; index 2 Gauss sum; weight distribution;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2013.2259538
  • Filename
    6507341