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A Randomized Sublinear Time Parallel GCD Algorithm for the EREW PRAM

Abstract

We present a randomized parallel algorithm that computes the greatest common divisor of two integers of n bits in length with probability 1βˆ’o(1) that takes O(n log logn/ logn) time using O(n6 + ) processors for any \u3e 0 on the EREW PRAM parallel model of computation. The algorithm either gives a correct answer or reports failure. We believe this to be the first randomized sublinear time algorithm on the EREW PRAM for this problem

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This paper was published in Digital Commons @ Butler University.

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