DocumentCode
3284764
Title
Generating Costas Arrays to Order 200
Author
Beard, James K.
Author_Institution
Temple Univ., Philadelphia, PA
fYear
2006
fDate
22-24 March 2006
Firstpage
1130
Lastpage
1133
Abstract
Number-theoretic generators of Costas arrays and generalizations in the literature and some presented here produce 526,908 of the known 663,703 known Costas arrays for orders up to 200. For orders higher than seven, there are more Costas arrays than the generators produce. A spin generalization is observed to find new Costas arrays for orders up to about 50, but none of higher order. This, and early work on the occurrence of Costas arrays, indicates that most, or all, Costas arrays are known, or are generated by known generators and their generalizations.
Keywords
information theory; matrix algebra; number theory; Costas arrays; number-theoretic generator; spin generalization; Additives; Arithmetic; Bandwidth; Doppler radar; Doppler shift; Equations; Frequency; Galois fields; Sonar; Symmetric matrices; Costas arrays; permutation matrices number theory; waveform design;
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.2006.286635
Filename
4067976
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