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On some properties of Costas arrays generated via finite fields

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3 Author(s)
Konstantinos Drakakis ; School of Mathematics, University of Edinburgh ; Rod Gow ; Liam O'Carroll

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.

Published in:

2006 40th Annual Conference on Information Sciences and Systems

Date of Conference:

22-24 March 2006