论文信息 - On the lattice structure of certain linear congruential sequences related to AWC/SWB generators

On the lattice structure of certain linear congruential sequences related to AWC/SWB generators

We analyze the lattice structure of certain types of linear congru- ential generators (LCGs), which include close approximations to the add-with- carry and subtract-with-borrow (AWC/SWB) random number generators intro- duced by Marsaglia and Zaman, and also to combinations of the latter with ordinary LCGs. It follows from our results that all these generators have an unfavorable lattice structure in large dimensions.

P. L’Ecuyer | R. Couture | P. L'Ecuyer | Raymond Couture

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