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Issue RAIRO-Theor. Inf. Appl.
Volume 42, Number 2, April-June 2008
Page(s) 309 - 322
DOI 10.1051/ita:2007024
Published online 14 August 2007

RAIRO-Theor. Inf. Appl. 42, 309-322 (2008)
DOI: 10.1051/ita:2007024

Census algorithms for chinese remainder pseudorank

David Laing and Bruce Litow

School of Information Technology, James Cook University, Townsville, Qld. 4811, Australia; bruce@cs.jcu.edu.au; david.laing1@jcu.edu.au


(Received February 17, 2006. Accepted June 18, 2007. Published online 14 August 2007.)

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.


Mathematics Subject Classification. 11Y99, 68R99

Key words: Chinese remainder representation -- rank -- pseudorank -- pseudorank census algorithms


© EDP Sciences 2007


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