• DocumentCode
    905022
  • Title

    On Cyclic q -ary Images in Concatenated Form

  • Author

    Mouaha, Christophe

  • Author_Institution
    Dept. de Math., E.N.S., Yaounde
  • Volume
    55
  • Issue
    6
  • fYear
    2009
  • fDate
    6/1/2009 12:00:00 AM
  • Firstpage
    2618
  • Lastpage
    2621
  • Abstract
    This paper shows that q-ary images of some cyclic codes can be put into concatenated form in the sense of Jensen (1985). This description utilizes an isomorphism between the GF(q)-algebras GF(q) [z] / (znm - 1) and GF (q )[x, y] / (xn - 1, ym - x). We also describe an element of the constacyclic outer code, which is of great help in determining one of its generator polynomials.
  • Keywords
    Galois fields; concatenated codes; cyclic codes; image coding; polynomials; GF algebra isomorphism; concatenated form; cyclic q-ary image coding; polynomial; Algebra; Concatenated codes; Polynomials; Vectors; $q$-ary image; Concatenated code; cyclic code; trace code;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2009.2018334
  • Filename
    4957632
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=905022