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- Pierre L'Ecuyer, François Blouin, Raymond Couture
- ACM Trans. Model. Comput. Simul.
- 1993

We report the results of an extensive computer search for good multiple recursive generators, in terms of their lattice structure and implementation speed. Those generators are a little slower than… (More)

- Raymond Couture, Pierre L'Ecuyer
- Math. Comput.
- 1997

We study the multiply-with-carry family of generators proposed by Marsaglia as a generalization of previous add-with-carry families. We define for them an infinite state space and focus our attention… (More)

- Raymond Couture, Pierre L 'ecuyer
- 2010

We analyze the lattice structure of certain types of linear congruential generators (LCGs), which include close approximations to the add-withcarry and subtract-with-borrow (AWC/SWB) random number… (More)

- Raymond Couture, Pierre L'Ecuyer
- Math. Comput.
- 2000

We improve on a lattice algorithm of Tezuka for the computation of the k-distribution of a class of random number generators based on finite fields. We show how this is applied to the problem of… (More)

- Pierre L'Ecuyer, Raymond Couture
- INFORMS Journal on Computing
- 1997

We discuss the implementation of theoretical tests to assess the structural properties of simple or combined linear congruential and multiple recursive random number generators. In particular, we… (More)

- Shu Tezuka, Pierre L'Ecuyer, Raymond Couture
- ACM Trans. Model. Comput. Simul.
- 1993

Marsaglia and Zaman recently proposed new classes of random number generators, called <italic>add-with-carry</italic>(AWC) and <italic>subtract-with-borrow</italic>(SWB), which are capable of quickly… (More)

- Raymond Couture, Pierre L'Ecuyer
- Math. Comput.
- 1996

In order to analyze certain types of combinations of multiple recursive linear congruential generators (MRGs), we introduce a generalized spectral test. We show how to apply the test in large… (More)

- Raymond Couture, Pierre L'Ecuyer
- Winter Simulation Conference
- 1995

We study the multiply-with-carry family of generators proposed by G. Marsaglia (1994) as a generalisation of the previous add-with-carry and subtract-with-borrow families of G. Marsaglia and A. Zaman… (More)

The lattice structure of conventional linear congruential random number generators (LCGs), over integers, is well known. In this paper, we study LCGs in the field of formal Laurent series, with… (More)

- Raymond Couture, Pierre L'Ecuyer
- ACM Trans. Model. Comput. Simul.
- 1998

A reliable random number generator is obviously a key requirement for any serious stochastic simulation. But what is a “good” generator and how to construct one? These questions will probably never… (More)

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