• DocumentCode
    1316064
  • Title

    On periodicity properties of Costas arrays and a conjecture on permutation polynomials

  • Author

    Golomb, Solomon W. ; Moreno, Oscar

  • Author_Institution
    Commun. Sci. Inst., Univ. of Southern California, Los Angeles, CA, USA
  • Volume
    42
  • Issue
    6
  • fYear
    1996
  • fDate
    11/1/1996 12:00:00 AM
  • Firstpage
    2252
  • Lastpage
    2253
  • Abstract
    Golomb and Taylor (1984) conjectured that single periodicity characterizes the Welch construction of Costas arrays. In this correspondence, we present a weakened version of this conjecture and partial results on it. Furthermore, we prove that our conjecture is equivalent to a conjecture concerning permutation polynomials and give partial results on the latter
  • Keywords
    combinatorial mathematics; polynomials; sequences; Costas arrays; Welch construction; conjecture; periodicity properties; permutation polynomials; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.556616
  • Filename
    556616
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1316064