DocumentCode :
3283698
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.
fYear :
2006
fDate :
22-24 March 2006
Firstpage :
801
Lastpage :
805
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;
fLanguage :
English
Publisher :
ieee
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
Type :
conf
DOI :
10.1109/CISS.2006.286576
Filename :
4067917
Link To Document :
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