# Monte Carlo methods for index computation ()

@article{Pollard1978MonteCM,
title={Monte Carlo methods for index computation ()},
author={John M. Pollard},
journal={Mathematics of Computation},
year={1978},
volume={32},
pages={918-924}
}
• J. Pollard
• Published 1 September 1978
• Mathematics
• Mathematics of Computation
We describe some novel methods to compute the index of any integer relative to a given primitive root of a prime p. Our flrst method avoids the use of stored tables and apparently requires O(p 1/2) operations. Our second algorithm, which may be regarded as a method of catching kangaroos, is applicable when the index is known to lie in a certain interval; it requires O(w/2) operations for an interval of width w, but does not have complete certainty of success. It has several possible areas of… Expand
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