On some properties of Costas arrays generated via finite fields

K Drakakis, R Gow, L O'Carroll - 2006 40th Annual Conference …, 2006 - ieeexplore.ieee.org
K Drakakis, R Gow, L O'Carroll
2006 40th Annual Conference on Information Sciences and Systems, 2006ieeexplore.ieee.org
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.
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.
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