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 -bit integers.
Mots clés : chinese remainder representation, rank, pseudorank, pseudorank census algorithms
@article{ITA_2008__42_2_309_0, 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://www.numdam.org/articles/10.1051/ita:2007024/} }
TY - JOUR AU - Laing, David AU - Litow, Bruce TI - Census algorithms for chinese remainder pseudorank JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2008 SP - 309 EP - 322 VL - 42 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ita:2007024/ DO - 10.1051/ita:2007024 LA - en ID - ITA_2008__42_2_309_0 ER -
%0 Journal Article %A Laing, David %A Litow, Bruce %T Census algorithms for chinese remainder pseudorank %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2008 %P 309-322 %V 42 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ita:2007024/ %R 10.1051/ita:2007024 %G en %F ITA_2008__42_2_309_0
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. http://www.numdam.org/articles/10.1051/ita:2007024/
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