• DocumentCode
    2017950
  • Title

    On linear codes over a non-chain extension of F2 + uF2

  • Author

    Srinivasulu, B. ; Bhaintwal, Maheshanand

  • Author_Institution
    Dept. of Math., Indian Inst. of Technol. Roorkee, Roorkee, India
  • fYear
    2015
  • fDate
    7-8 Feb. 2015
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    In this paper we study linear codes over a new ring R = F2 + uF2 + vF2 + uvF2 with u2 = 0, v2 = v and uv = vu, which is a non chain extension of the ring F2+uF2, u2 =0. We have obtained Mac Williams identities for Lee weight enumerator of linear codes over R using a Gray map from Rn to (F2 +uF2)n. We have studied self-dual codes over R and determined some existential conditions for Type I and Type II codes over R. Further we have briefly studied cyclic codes over R. It is shown that R[x]/〈xn - 1〉 is a PIR when n is odd. The form of the generator of a cyclic code of odd length over R is obtained.
  • Keywords
    Gray codes; cyclic codes; dual codes; linear codes; Gray map; Lee weight enumerator; MacWilliam identities; PIR; cyclic code; linear code; ring nonchain extension; self-dual codes; Electronic mail; Generators; Linear codes; Modules (abstract algebra); Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer, Communication, Control and Information Technology (C3IT), 2015 Third International Conference on
  • Conference_Location
    Hooghly
  • Print_ISBN
    978-1-4799-4446-0
  • Type

    conf

  • DOI
    10.1109/C3IT.2015.7060155
  • Filename
    7060155
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2017950