Geodesic
Census algorithms for chinese remainder pseudorank
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 2, pp. 309-322

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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.

DOI : 10.1051/ita:2007024
Classification : 11Y99, 68R99
Keywords: chinese remainder representation, rank, pseudorank, pseudorank census algorithms 
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     author = {Laing, David and Litow, Bruce},
     title = {Census algorithms for chinese remainder pseudorank},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {309--322},
     publisher = {EDP-Sciences},
     volume = {42},
     number = {2},
     year = {2008},
     doi = {10.1051/ita:2007024},
     mrnumber = {2401264},
     zbl = {1141.11324},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ita:2007024/}
}
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AU  - Litow, Bruce
TI  - Census algorithms for chinese remainder pseudorank
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PY  - 2008
SP  - 309
EP  - 322
VL  - 42
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DO  - 10.1051/ita:2007024
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Laing, David; Litow, Bruce. Census algorithms for chinese remainder pseudorank. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 2, pp. 309-322. doi: 10.1051/ita:2007024

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