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Parallel supercomputer-based Monte Carlo applications depend on pseudorandom number generators that produce independent pseudorandom streams across many separate processes. We propose a new scalable class of parallel pseudorandom number generators based on Pohlig--Hellman exponentiation ciphers. The method generates uniformly distributed floating point pseudorandom streams by encrypting simple sequences of integer messages into ciphertexts by exponentiation modulo prime numbers. The advantagesarXiv:1411.2484v4 fatcat:xx6wrmjbybhlvmqplzl2mhgaz4