Census algorithms for chinese remainder pseudorank

Laing, David, and Litow, Bruce (2007) Census algorithms for chinese remainder pseudorank. RAIRO - Theoretical Informatics and Applications , 42 (2). pp. 309-322.

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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.

Item ID: 2451
Item Type: Article (Refereed Research - C1)
Keywords: Chinese remainder representation; rank; pseudorank; pseudorank census algorithms
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Reproduced with permission from EDP Sciences. RAIRO - Theoretical Informatics and Applications: http://www.rairo-ita.org

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ISSN: 1290-385X
Date Deposited: 20 Jul 2009 04:43
FoR Codes: 08 INFORMATION AND COMPUTING SCIENCES > 0899 Other Information and Computing Sciences > 089999 Information and Computing Sciences not elsewhere classified @ 70%
08 INFORMATION AND COMPUTING SCIENCES > 0802 Computation Theory and Mathematics > 080299 Computation Theory and Mathematics not elsewhere classified @ 30%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970101 Expanding Knowledge in the Mathematical Sciences @ 100%
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