Publication
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: http://aimsciences.org/journals/displayArticles.jsp?paperID=5898
Related Resources
See what’s new.
2024
Optimal Design of Vehicle Dynamics Using Gradient-Based, Mixed-Fidelity Multidisciplinary OptimizationThis research showcases a multidisciplinary approach to optimize a…
2021
BRepNet: A topological message passing system for solid modelsBoundary representation (B-rep) models are the standard way 3D shapes…
2016
Egocentric Analysis of Dynamic Networks with EgoLinesThe egocentric analysis of dynamic networks focuses ondiscovering the…
2013
Patina: Smart Heatmaps for Visualizing Application UsageWe present Patina, an application independent system for collecting…
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