Costas permutations in the continuum

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Costas permutations in the continuum
—We extend the definition of the Costas property to functions in the continuum, namely on intervals of the reals or the rationals, and argue that such functions can be used in the same applications as discrete Costas arrays. We construct Costas bijections in the real continuum within the class of piecewise continuously differentiable functions; over the rationals we propose a non-smooth construction of great generality and flexibility whose success, though, relies heavily on their enumerability, and therefore cannot be generalized over the reals in an obvious way.
Konstantinos Drakakis, Scott Rickard
Added 29 May 2010
Updated 29 May 2010
Type Conference
Year 2008
Where CISS
Authors Konstantinos Drakakis, Scott Rickard
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