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This paper proposes a type of pseudorandom number generator, Mersenne Twisterfor Graphic Processor (MTGP), for efficient generation on graphic processessingunits (GPUs). MTGP supports large state sizes such as 11213 bits, and uses thehigh parallelism of GPUs in computing many steps of the recursion in parallel.The second proposal is a parameter-set generator for MTGP, named MTGP DynamicCreator (MTGPDC). MT- GPDC creates up to 2^32 distinct parameter sets whichgenerate sequences with high-dimensional uniformity. This facility is suitablefor a large grid of GPUs where each GPU requires separate random numberstreams. MTGP is based on linear recursion over the two-element field, and hasbetter high-dimensional equidistribution than the Mersenne Twister pseudorandomnumber generator.

Variants of Mersenne Twister Suitable for Graphic Processors