• DocumentCode
    802889
  • Title

    The weight distribution of a class of linear codes from perfect nonlinear functions

  • Author

    Yuan, Jin ; Carlet, Claude ; Ding, Cunsheng

  • Author_Institution
    Dept. of Comput. Sci., Hong Kong Univ. of Sci. & Technol., China
  • Volume
    52
  • Issue
    2
  • fYear
    2006
  • Firstpage
    712
  • Lastpage
    717
  • Abstract
    In this correspondence, the weight distribution of a class of linear codes based on perfect nonlinear functions (also called planar functions) is determined. The class of linear codes under study are either optimal or among the best codes known, and have nice applications in cryptography.
  • Keywords
    cryptography; linear codes; nonlinear codes; nonlinear functions; cryptography; difference set; linear code class; perfect nonlinear function; planar function; weight distribution; Computer science; Councils; Cryptography; Error correction codes; Frequency; Linear code; Difference sets; linear codes; perfect nonlinear functions; planar functions; weight distribution;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2005.862125
  • Filename
    1580806