LatMRG Online Documentation unknown
Tools to analyze the lattice structure of linear generators
Loading...
Searching...
No Matches
Bibliography
[1]

J. D. Alanen and D. E. Knuth. Tables of finite fields. SANKHYA: The Indian Journal of Statistics, Series A, 26:305–328, 1964.

[2]

G. S. Fishman. Multiplicative congruential random number generators with modulus \(2^\beta\): An exhaustive analysis for \(\beta=32\) and a partial analysis for \(\beta=48\). Mathematics of Computation, 54(189):331–344, Jan 1990.

[3]

D. E. Knuth. The Art of Computer Programming, Volume 2: Seminumerical Algorithms. Addison-Wesley, Reading, MA, second edition, 1981.

[4]

P. L'Ecuyer and R. Couture. An implementation of the lattice and spectral tests for multiple recursive linear random number generators. INFORMS Journal on Computing, 9(2):206–217, 1997.

[5]

P. L'Ecuyer. Random numbers for simulation. Communications of the ACM, 33(10):85–97, 1990.

[6]

P. L'Ecuyer. Stochastic simulation and Monte Carlo methods. Draft Textbook, https://www-labs.iro.umontreal.ca/ lecuyer/ift6561/book.pdf, 2023.

[7]

S. Tezuka, P. L'Ecuyer, and R. Couture. On the add-with-carry and subtract-with-borrow random number generators. ACM Transactions of Modeling and Computer Simulation, 3(4):315–331, 1993.