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

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2 Author(s)
Golomb, S.W. ; Commun. Sci. Inst., Univ. of Southern California, Los Angeles, CA, USA ; Moreno, O.

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

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Information Theory, IEEE Transactions on  (Volume:42 ,  Issue: 6 )