• DocumentCode
    166217
  • Title

    Codes over ℤ4+vℤ4

  • Author

    Bandi, Rama Krishna ; Bhaintwal, Maheshanand

  • Author_Institution
    Dept. of Math., Indian Inst. of Technol. Roorkee, Roorkee, India
  • fYear
    2014
  • fDate
    24-27 Sept. 2014
  • Firstpage
    422
  • Lastpage
    427
  • Abstract
    In this paper we study linear codes over the ring R = ℤ4 + vℤ4, where v2 = v. Using a Gray map on R we obtain the MacWilliams identities for both Lee and Gray weight enumerators for codes over R. We also briefly discuss self-dual codes over R. We give some construction methods of self-dual and self-orthogonal codes, and illustrate them with some examples.
  • Keywords
    codes; Gray map; Gray weight enumerators; Lee weight enumerators; MacWilliams identities; linear codes; self-dual codes; self-orthogonal codes; Electronic mail; Generators; Hamming weight; Informatics; Linear codes; Mathematics; Zinc;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Advances in Computing, Communications and Informatics (ICACCI, 2014 International Conference on
  • Conference_Location
    New Delhi
  • Print_ISBN
    978-1-4799-3078-4
  • Type

    conf

  • DOI
    10.1109/ICACCI.2014.6968489
  • Filename
    6968489
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=166217