• DocumentCode
    3027000
  • Title

    The MacWilliams Relations of Liner Codes over F_2+uF_2

  • Author

    Yihe, Rui ; Yizhi, Chen

  • Author_Institution
    Coll. of Stat. & Math., ZheJiang Gongshang Univ., Hangzhou, China
  • fYear
    2010
  • fDate
    23-24 Oct. 2010
  • Firstpage
    119
  • Lastpage
    122
  • Abstract
    We introduce weight enumerators of liner codes over the ring F2+uF2={0,1,u,1+u}. We first study the MacWilliams relations of liner codes over F2+uF2 under the Hermitian inner product. We proved that for codes over the ring F2+uF2 the MacWilliams relations are the same for both inner products.
  • Keywords
    Galois fields; codes; Galois field; Hermitian inner product; MacWilliams relations; liner codes; weight enumerators; Cryptography; Educational institutions; Hamming weight; Measurement; Modules (abstract algebra); Transforms; Hermitian inner product; Liner code; MacWilliams relations; weight enumerators;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Cryptography and Network Security, Data Mining and Knowledge Discovery, E-Commerce & Its Applications and Embedded Systems (CDEE), 2010 First ACIS International Symposium on
  • Conference_Location
    Qinhuangdao
  • Print_ISBN
    978-1-4244-9595-5
  • Type

    conf

  • DOI
    10.1109/CDEE.2010.32
  • Filename
    5759396
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3027000