Document RAIRO-Theor. Inf. Appl. 42, 309-322 (2008)
DOI: 10.1051/ita:2007024
Census algorithms for chinese remainder pseudorank
David Laing and Bruce LitowSchool 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