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

  • Authors:

  • S. W. Golomb;O. Moreno

  • Affiliations:

  • Commun. Sci. Inst., Univ. of Southern California, Los Angeles, CA;-

  • Venue:
  • IEEE Transactions on Information Theory - Part 2
  • Year:
  • 2006

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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