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Random Number Generators with Period Divisible by a Mersenne Prime (2003)  (Make Corrections)  (5 citations)
Richard P. Brent Computing Laboratory University of Oxford, UK...



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Abstract: Pseudo-random numbers with long periods and good statistical properties are often required for applications in computational nance, numerical integration, physics, simulation, etc. We consider the requirements for good uniform random number generators, and describe a class of generators whose period is a Mersenne prime or a small multiple of a Mersenne prime. These generators are based on primitive or \almost primitive" trinomials, that is trinomials having a large primitive factor. They enable ... (Update)

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Almost Irreducible and Almost Primitive Trinomials - Brent, Zimmermann (2003)   (Correct)
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9:   whose degree is a Mersenne exponent (context) - Kurita, Matsumoto et al. - 1991
5:   New primitive trinomials of Mersenneexponent degrees for random-number generatio.. (context) - Heringa, Blote et al. - 1992
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BibTeX entry:   (Update)

R. P. Brent and P. Zimmermann, Random number generators with period divisible by a Mersenne prime, in Computational Science and its Applications { ICCSA 2003. http://citeseer.ist.psu.edu/article/brent03random.html   More

@misc{ brent03random,
  author = "R. Brent and P. Zimmermann",
  title = "Random number generators with period divisible by a Mersenne prime",
  text = "R. P. Brent and P. Zimmermann, Random number generators with period divisible
    by a Mersenne prime, in Computational Science and its Applications { ICCSA
    2003.",
  year = "2003",
  url = "citeseer.ist.psu.edu/article/brent03random.html" }
Citations (may not include all citations):
1065   Handbook of Applied Cryptography (context) - Menezes, van Oorschot et al. - 1997
216   Volume 2: Seminumerical algorithms (context) - Knuth, of et al. - 1998
170   Shift register sequences (context) - Golomb - 1967
145   Introduction to Finite Fields and their Applications (context) - Lidl, Niederreiter - 1994
57   A current view of random number generators (context) - Marsaglia - 1985
49   Random number generators on vector supercomputers and other .. (context) - Anderson - 1990
43   A new class of random number generators (context) - Marsaglia, Zaman - 1991
38   A review of pseudorandom number generators (context) - James - 1990
35   Random numbers generated by linear recurrence modulo two (context) - Tausworthe - 1965
30   Random numbers fall mainly in the planes (context) - Marsaglia - 1968
24   Matrices and the structure of random number sequences (context) - Marsaglia, Tsay - 1985
23   whose degree is a Mersenne exponent (context) - Kumada, Leeb et al. - 2002
23   whose degree is a Mersenne exponent (context) - Kurita, Matsumoto et al. - 1991
21   Primitive trinomials whose degree is a Mersenne exponent (context) - Zierler - 1969
14   The shrinking generator (context) - Coppersmith, Krawczyk et al. - 1994
14   New primitive trinomials of Mersenne-exponent degrees for ra.. (context) - Heringa, Bl et al. - 1992
12   Analysis of additive random number generators (context) - Reiser - 1977
9   Physical tests for random numbers in simulations - Vattulainen, Ala-Nissila et al. - 1994
8   Primitive trinomials of high degree (context) - Rodemich, Rumsey - 1968
8   Primitive binary polynomials (context) - Stahnke - 1973
7   Random number generation and simulation on vector and parall.. - Brent - 1998
7   Factorization of polynomials over nite elds (context) - Swan - 1962
6   Primitive polynomials (context) - Watson - 1962
6   389-401 (context) - Brent, periods et al. - 1994
5   Monte Carlo simulations: Hidden errors from \good (context) - Ferrenberg, Landau et al. - 1992
5   Ecient and portable combined Tausworthe random number genera.. (context) - Tezuka - 1991
4   A portable high-quality random number generator for lattice .. (context) - uscher - 1994
3   A fast algorithm for testing irreducibility of trinomials mo.. - Brent, Larvala et al. - 2003
3   Simulation of a directed random-walk model: the e ect of pse.. (context) - Shchur, Heringa et al. - 1997
3   Maximum-length sequences (context) - Compagner, Hoogland - 1987
2   The RANLUX generator: resonances in a random walk test (context) - Shchur, Butera - 1998
1   Available from http://www (context) - Brent, uniform et al. - 2002
http://www.mersenne.org/

Documents on the same site (http://web.comlab.ox.ac.uk/oucl/work/richard.brent/pub/pub211.html):
Random Number Generators with Period Divisible by a Mersenne.. - Brent, Zimmermann (2003)   (Correct)
Random Number Generators with Period Divisible by a Mersenne.. - Brent, Zimmermann (2003)   (Correct)

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