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The density of Costas arrays and three-free permutations

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1 Author(s)
Bill Correll ; General Dynamics Advanced Information Systems, Ypsilanti, MI 48197 USA

We describe how 3-free permutations might be used to improve Davies's density result for Costas arrays. We associate both Costas arrays and 3-free permutations with a pair consisting of a lattice point and a hyperplane arrangement to establish relationships between the two and compare how the exponential decay predicted by bounds on the number of 3-free permutations compares with a claim of Drakakis.

Published in:

2012 IEEE Statistical Signal Processing Workshop (SSP)

Date of Conference:

5-8 Aug. 2012