• DocumentCode
    1085896
  • Title

    Cocyclic simplex codes of type α over Z4 and Z2s

  • Author

    Pinnawala, Nimalsiri ; Rao, Asha

  • Author_Institution
    Dept. of Math. & Stat., R. Melbourne Inst. of Technol., Vic., Australia
  • Volume
    50
  • Issue
    9
  • fYear
    2004
  • Firstpage
    2165
  • Lastpage
    2169
  • Abstract
    Over the past decade, cocycles have been used to construct Hadamard and generalized Hadamard matrices. This, in turn, has led to the construction of codes-self-dual and others. Here we explore these ideas further to construct cocyclic complex and Butson-Hadamard matrices, and subsequently we use the matrices to construct simplex codes of type α over Z(4) and Z(2s), respectively.
  • Keywords
    Galois fields; Hadamard codes; Hadamard matrices; binary codes; cyclic codes; dual codes; linear codes; Butson-Hadamard matrix; cocyclic simplex codes; generalized Hadamard matrix; self-dual code; self-orthogonal codes; Error correction; Error correction codes; Galois fields; Indexing; Linear code; Machinery; Mathematics; Polynomials; Statistics; Butson; cocycle; complex Hadamard; exponent; quaternary; self-orthogonal; simplex codes; trace;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2004.833354
  • Filename
    1327819
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1085896