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Census algorithms for chinese remainder pseudorank

Published online by Cambridge University Press:  14 August 2007

David Laing  and
Bruce Litow
David Laing
Affiliation:
School of Information Technology, James Cook University, Townsville, Qld. 4811, Australia; bruce@cs.jcu.edu.au; david.laing1@jcu.edu.au
Bruce Litow
Affiliation:
School of Information Technology, James Cook University, Townsville, Qld. 4811, Australia; bruce@cs.jcu.edu.au; david.laing1@jcu.edu.au
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Abstract

We investigate the density and distribution behaviors of the chinese remainder representation pseudorank. We give a very strong approximation to density, and derive two efficient algorithms to carry out an exact count (census) of the bad pseudorank integers. One of these algorithms has been implemented, giving results in excellent agreement with our density analysis out to 5189-bit integers.

Keywords

Chinese remainder representationrankpseudorankpseudorank census algorithms
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 42 , Issue 2 , April 2008 , pp. 309 - 322
Copyright
© EDP Sciences, 2007

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