Efficient Jump Ahead for 𝔽2-Linear Random Number Generators
Published Online:25 Feb 2008https://doi.org/10.1287/ijoc.1070.0251
References
- Matrix Computations (1996) 3rd ed.(John Hopkins University Press, Baltimore) Google Scholar
- Don't trust parallel Monte Carlo! Twelfth Workshop on Parallel and Distributed Simulation, Banff, Canada (1998) (IEEE Computer Society, Los Alamitos, CA) 82â89Crossref, Google Scholar
- , Henderson S. G., Nelson B. L. Implementing representations of uncertainty. Simulation. Handbooks in Operations Research and Management Science (2006) (Elsevier, Amsterdam) 181â191Chapter 7Google Scholar
- The Art of Computer Programming, Seminumerical Algorithms (1998) 23rd ed.(Addison-Wesley, Reading, MA) Google Scholar
- Simulation Modeling and Analysis (2000) 3rd ed.(McGraw-Hill, New York) Google Scholar
- Random numbers for simulation. Comm. ACM (1990) 33:85â97Crossref, Google Scholar
- Implementing a random number package with splitting facilities. ACM Trans. Math. Software (1991) 17:98â111Crossref, Google Scholar
- Fast random number generators based on linear recurrences modulo 2: Overview and comparison. Proc. 2005 Winter Simulation Conf. (2005) (IEEE Press, Piscataway, NJ) 110â119Crossref, Google Scholar
- An object-oriented random-number package with many long streams and substreams. Oper. Res. (2002) 50:1073â1075Link, Google Scholar
- Mersenne twister: A 623-dimensionally equidistributed uniform pseudo-random number generator. ACM Trans. Model. Comput. Simulation (1998) 8:3â30Crossref, Google Scholar
- , van Tilborg H. C. A. Sliding window exponentiation. Encyclopedia of Cryptography and Security (2005) (Springer-Verlag, New York) 588â590Crossref, Google Scholar
- Tables of 64-bit Mersenne twisters. ACM Trans. Model. Comput. Simulation (2000) 10:348â357Crossref, Google Scholar
- On the xorshift random number generators. ACM Trans. Model. Comput. Simulation (2005) 15:346â361Crossref, Google Scholar
- Improved long-period generators based on linear recurrences modulo 2. ACM Trans. Math. Software (2006) 32:1â16Crossref, Google Scholar
- , Heinrich S., Keller A., Niederreiter H. SIMD-oriented fast Mersenne twister: A 128-bit pseudorandom number generator. Monte Carlo and Quasi-Monte Carlo Methods 2006 (2008) (Springer-Verlag, Berlin) 617â632Crossref, Google Scholar
- A survey of combinatorial Gray codes. SIAM Rev. (1997) 39:605â629Crossref, Google Scholar
- Linear Algebra and Its Applications (1988) 3rd ed.(Saunders, Philadelphia) Google Scholar
- Uniform Random Numbers: Theory and Practice (1995) (Kluwer Academic Publishers, Norwell, MA) Crossref, Google Scholar

