• DocumentCode
    1760624
  • Title

    Binary Linear Codes With Three Weights

  • Author

    Kelan Ding ; Cunsheng Ding

  • Author_Institution
    Inst. of Inf. Eng., Beijing, China
  • Volume
    18
  • Issue
    11
  • fYear
    2014
  • fDate
    Nov. 2014
  • Firstpage
    1879
  • Lastpage
    1882
  • Abstract
    In this paper, a class of binary three-weight linear codes is constructed. Their dual codes are also studied. The dual codes are either optimal or almost optimal. These codes have applications in authentication codes, secret sharing schemes, and association schemes, in addition to their applications in consumer electronics and communication and data storage systems.
  • Keywords
    binary codes; linear codes; association schemes; authentication codes; binary linear codes; communication systems; consumer electronics; data storage systems; dual codes; secret sharing schemes; Additives; Authentication; Binary codes; Cryptography; Equations; Linear codes; Niobium; Association schemes; authentication codes; linear codes; permutation polynomial; secret sharing schemes;
  • fLanguage
    English
  • Journal_Title
    Communications Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1089-7798
  • Type

    jour

  • DOI
    10.1109/LCOMM.2014.2361516
  • Filename
    6915854