• DocumentCode
    355838
  • Title

    Algebraic structure of quasicyclic codes

  • Author

    Lally, Kristine ; Fitzpatrick, Patrick

  • Author_Institution
    Dept. of Math., Nat. Univ. of Ireland, Cork, Ireland
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    196
  • Abstract
    We use Grobner bases of modules to construct and classify quasi-cyclic codes. Whereas previous studies have been mainly concerned with the 1-generator case, our results elucidate the structure of arbitrary quasi-cyclic codes and their duals. We include a complete characterisation of self-dual quasi-cyclic codes of index 2
  • Keywords
    algebraic codes; cyclic codes; dual codes; Grobner bases; algebraic structure; code construction; quasi-cyclic codes; self-dual codes; Decoding; Interpolation; Iron; Mathematics; Niobium; Polynomials; Reed-Solomon codes;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2000. Proceedings. IEEE International Symposium on
  • Conference_Location
    Sorrento
  • Print_ISBN
    0-7803-5857-0
  • Type

    conf

  • DOI
    10.1109/ISIT.2000.866494
  • Filename
    866494
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=355838