The lattice structure of multiplicative congruential pseudo-random vectors

Author:

Beyer W. A.,Roof R. B.,Williamson Dorothy

Abstract

The lattice structure of points in an n-dimensional space produced by an appropriate grouping of pseudo-random numbers obtained from multiplicative congruential generators is discussed. Examples are given for 2 n 6 2 \leqq n \leqq 6 . The work is based on the theory of the reduction of positive quadratic forms in n variables.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

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