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A search for good multiple recursive random number generators
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Source ACM Transactions on Modeling and Computer Simulation (TOMACS) archive
Volume 3 ,  Issue 2  (April 1993) table of contents
Pages: 87 - 98  
Year of Publication: 1993
ISSN:1049-3301
Authors
Pierre L'Ecuyer  Université de Montréal
François Blouin  Université Laval
Raymond Couture  Université Laval
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 13,   Downloads (12 Months): 74,   Citation Count: 11
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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ALANEN, J. D., AND KNUTH, D.E. 1964. Tables of finite fields. SAJVKHY~ Ind. J. Stat., Series A, 26, 305 328.
 
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FINCKE, U., AND POHST, M. 1985. Improved methods for calculating vectors of short length in a lattice, including a complexity analysis. Math. Comput. 44, 170, 463 471.
 
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FISHMAN, G. S. 1990. Multiplicative congruential random number generators with modulus 2 ~: An exhaustive analysis for/3 = 32 and a partial analysis for ~ = 48. Math. Comput. 54, 189 (Jan.), 331-344.
 
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GROTHE, H. 1988. Matrixgeneratoren zur erzeugung gleichverteilter pseudozufallsvektoren. Dissertation (thesis), Tech. Hochschule Darmstadt, Germany In German.
 
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GRUBE, A. 1973. Mehrfach rekursiv-erzeugte pseudo-zufallszahlen. Zeitschr~ft fur angewandte Moth. und Mechanik 53, T223-T225 In German.
 
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MONTGOMERY, P.L. 1987. Speeding the Pollard and elliptic curve methods of factorization. Math Comput. 48, 177, 243-264.
 
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MORAIN, F. 1988. Implementation of the Atkin-Goldwasser-Kfiian primality testing algorithm. Rapport de recherche 911, INRIA, Rocquencourt, France.
 
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NIEDERREITER, H. 1988. The serial test for digital k-step pseudorandom numbers. Math. J. Okayama Unw. 30, 93 119.
 
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NIEDERREiTER, $. 1986. A pseudorandom vector generator based on finite field arithmetic. Math. Japontca 31, 5, 759 774.
 
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NIEDERREITER, H. 1982 Statistical tests for Tausworthe pseudorandom numbers. In Probabd- ~ty and Statistical I, ference. Reidel, Dordrecht, Boston, 265-274.
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CITED BY  11

Collaborative Colleagues:
Pierre L'Ecuyer: colleagues
François Blouin: colleagues
Raymond Couture: colleagues