On the lattice structure of the add-with-carry and subtract-with-borrow random number generators

@article{Tezuka1993OnTL,
  title={On the lattice structure of the add-with-carry and subtract-with-borrow random number generators},
  author={Shu Tezuka and Pierre L'Ecuyer and Raymond Couture},
  journal={ACM Trans. Model. Comput. Simul.},
  year={1993},
  volume={3},
  pages={315-331}
}
Marsaglia and Zaman recently proposed new classes of random number generators, called add-with-carry(AWC) and subtract-with-borrow(SWB), which are capable of quickly generating very long-period (pseudo)-random number sequences using very little memory. We show that these sequences are essentially equivalent to linear congruential sequences with very large prime moduli. So, the AWC/SWB generators can be viewed as efficient ways of implementing such large linear congruential generators. As a… Expand
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