Title :
On some properties of Costas arrays generated via finite fields
Author :
Drakakis, Konstantinos ; Gow, Rod ; O´Carroll, Liam
Author_Institution :
Sch. of Math., Edinburgh Univ.
Abstract :
We prove that Welch-constructed Costas arrays are in general not symmetric and that the Golomb-constructed ones are symmetric in two cases only, namely the Lem-pel one and a (rare) second one leading to the construction of dense Golomb rulers. Finally, we look into the (hard) problem of the number of fixed points of a Welch-constructed Costas array and formulate a conjecture.
Keywords :
array signal processing; Welch-constructed Costas array; dense Golomb ruler; finite field; Algebra; Combinatorial mathematics; Educational institutions; Galois fields; Radar; Sonar; Costas arrays; Golomb and Welch constructions; Golomb rulers; finite fields;
Conference_Titel :
Information Sciences and Systems, 2006 40th Annual Conference on
Conference_Location :
Princeton, NJ
Print_ISBN :
1-4244-0349-9
Electronic_ISBN :
1-4244-0350-2
DOI :
10.1109/CISS.2006.286576
