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
fDate :
11/1/1996 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
