Monte Carlo methods for index computation

Author:
J. M. Pollard

Journal:
Math. Comp. **32** (1978), 918-924

MSC:
Primary 10A10; Secondary 65C05

DOI:
https://doi.org/10.1090/S0025-5718-1978-0491431-9

MathSciNet review:
0491431

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Abstract | References | Similar Articles | Additional Information

Abstract: We describe some novel methods to compute the index of any integer relative to a given primitive root of a prime p. Our first method avoids the use of stored tables and apparently requires 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 operations for an interval of width *w*, but does not have complete certainty of success. It has several possible areas of application, including the factorization of integers.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1978-0491431-9

Keywords:
Indices,
primitive roots,
finite fields

Article copyright:
© Copyright 1978
American Mathematical Society