Title :
On periodicity properties of Costas arrays and a conjecture on permutation polynomials
Author :
Golomb, Solomon ; Moreno, Oscar
Author_Institution :
Dept. of Math., Puerto Rico Univ., Rio Piedras, Puerto Rico
fDate :
27 Jun-1 Jul 1994
Abstract :
In 1984 Golomb conjectured that single periodicity characterizes the Welch construction of Costas arrays. We present a weakened version of this conjecture and give partial results on it. Furthermore, we prove that our conjecture is equivalent to another conjecture concerning permutation polynomials and we also give partial result on it
Keywords :
polynomials; sequences; Welch construction; conjecture; costas arrays; periodicity properties; permutation polynomials; Galois fields; Interpolation; Lagrangian functions; Mathematics; Polynomials; Sonar;
Conference_Titel :
Information Theory, 1994. Proceedings., 1994 IEEE International Symposium on
Conference_Location :
Trondheim
Print_ISBN :
0-7803-2015-8
DOI :
10.1109/ISIT.1994.394657
