Asymptotic behaviour of a non-commutative rational series with a nonnegative linear representation

We analyse the asymptotic behaviour in the mean of a non-commutative rational series, which originates from differential cryptanalysis, using tools from probability theory, and from analytic number theory. We derive a Fourier representation of a first-order summation function obtained by interp...

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Bibliographic Details
Main Authors: Philippe Dumas, Helger Lipmaa, Johan Wallén
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2007-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Online Access:http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/478