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ARSCOM
2008
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14 years 17 days ago
Three challenges in Costas arrays
We present 3 open challenges in the field of Costas arrays. They are: a) the determination of the number of dots on the main diagonal of a Welch array, and especially the maximal ...
Konstantinos Drakakis
CISS
2008
IEEE
14 years 7 months ago
Higher dimensional generalizations of the Costas property
—We investigate the generalization of the Costas property in 3 or more dimensions, and we seek an appropriate definition. We offer a construction method based on the idea of res...
Konstantinos Drakakis
CISS
2008
IEEE
14 years 7 months ago
Distance vectors in Costas arrays
—We investigate the distance vectors contained in individual and in pairs of Costas arrays, and prove some rigorous results in the case of the algebraically constructed ones. Ove...
Konstantinos Drakakis, Rod Gow, Scott Rickard
CISS
2008
IEEE
14 years 7 months ago
Two experimental pearls in Costas arrays
—The results of 2 experiments in Costas arrays are presented, for which theoretical explanation is still not available: the number of dots on the main diagonal of exponential Wel...
Konstantinos Drakakis, Rod Gow
CISS
2008
IEEE
14 years 7 months ago
Costas array generator polynomials in finite fields
—Permutations of order N are generated using polynomials in a Galois field GF(q) where q > N+1, which can be written as a linear transformation on a vector of polynomial coeff...
James K. Beard