The Enumeration of Costas Arrays of Order 28 and Its Consequences

AbstractThe results of the enumeration of Costas arrays of order 28 are presented: all arrays found are accounted for by the Golomb and Welch construction methods, making 28 the first order (larger than 5) for which no sporadic Costas arrays exist. The enumeration was performed on several computer clusters and required the equivalent of 70 years of single CPU time. Furthermore, a classification of Costas arrays in four classes is proposed, and it is conjectured, based on the results of the enumeration combined with further evidence, that two of them eventually become extinct.Link to Publication:

Related Resources

See what’s new.



3D Visualization Of Molecular Data Using A Cloud-Based Streaming Framework For Web-Based Large Model Viewing

Available upon request…



Fast bio-inspired computation using a GPU-based systemic computer

Biology is inherently parallel…



A Practical Investigation into Achieving Bio-Plausibility in Evo-Devo Neural Microcircuits Feasible in an FPGA

Many researchers has conjectured, argued, or in some cases…



Equivariant gluing constructions of contact-stationary Legendrian submanifolds in the (2n+1)-sphere

A contact-stationary Legendrian submanifold of the (2n+1)-sphere is a…

Get in touch

Something pique your interest? Get in touch if you’d like to learn more about Autodesk Research, our projects, people, and potential collaboration opportunities.

Contact us