Implementing a multiple recursive generator with mersenne prime modulus

References

• Bratley , P. , Fox , B.L. and Schrage , L.E. 1987 . A Guide to Simulation , New York : Springer-Verlag .
   Google Scholar
• Carta , D.G. 1990 . Two fast implementations of the"minimal standard"random number generator . Communications of the ACM , 33 : 87 – 88 .
   Google Scholar
• Crandall , R. and Fagin , B. 1994 . Discrete weighted transforms and large-integer arithmetic . Mathematics of Computation , 62 : 305 – 324 .
   Google Scholar
• Kao , C. and Tang , H.C. 1995 . Symmetry property of multiplicative congruential random number generator in chi-square test . Inter. J. Computer Math , 55 : 113 – 118 .
   Web of Science ®Google Scholar
• Knuth , D.E. 1997 . “ The art of computer programming ” . In Semi-numerical Algorithms , Vol. 2 , Reading, MA : Addison-Wesley .
   Google Scholar
• L'Ecuyer , P. , Blouin , F. and Couture , R. 1993 . A search for good multiple recursive random number generators . A CM Trans.Modeling and Computer Simu , 3 : 87 – 98 .
   Google Scholar
• L'Ecuyer , P. and Coté , S. 1991 . Implementing a random number package with splitting facilities . ACM Transactions on Mathematical Software , 17 : 98 – 111 .
   Web of Science ®Google Scholar
• Marse , K. and Roberts , S.D. 1983 . Implementing a portable FORTRAN uniform (0,1) Generator . Simulation , 41 : 135 – 139 .
   Google Scholar
• Nance , R.E. and Overstreet , C. Jr . 1978 . Some experimental observations on the behavior of composite random number generators . Operations Research , 26 : 915 – 935 .
   Google Scholar
• Park , S.K. and Miller , K.W. 1988 . Random number generators: Good ones are hard to find . Communications of the ACM , 31 : 1192 – 1201 .
   Web of Science ®Google Scholar
• Payne , W.H. , Rabung , T.R. and Bogys , T.P. 1969 . Coding the Lehmer pseudo-random number generator . Communications of the ACM , 12 : 85 – 86 .
   Web of Science ®Google Scholar
• Riesel , H. 1994 . Prime numbers and computer methods for factorization Birkhäuser Boston
   Google Scholar