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
Link To Document :
بازگشت