RAIRO-Theor. Inf. Appl.
Volume 42, Number 2, April-June 2008
|Page(s)||309 - 322|
|Published online||14 August 2007|
Census algorithms for chinese remainder pseudorank
School of Information Technology,
James Cook University, Townsville, Qld. 4811, Australia;
Accepted: 18 June 2007
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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