On the parity populations of Welch-constructed Costas arrays

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Mar 2006Publisher:IEEEJournal:2006 40th Annual Conference on Information Sciences and SystemsPublicly funded

Authors: Konstantinos Drakakis; Rod Gow; Scott Rickard;

doi: 10.1109/ciss.2006.286578

On the parity populations of Welch-constructed Costas arrays

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Abstract

We prove that, in the case of Welch-constructed Costas arrays, the number of dots whose coordinates are both even (ee), both odd (oo), even and odd (eo), and odd and even (oe) are all equal if the prime p used has the property that p mod 4 = 1; and that, if p mod 4 = 3, the relation between these 4 quantities can again be determined, and that it involves an unexpected appearance of class numbers.

Related Organizations

University College Dublin
Ireland
University of Edinburgh
United Kingdom

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