In this note, we give an upper bound for the number of elements from the interval necessary to generate the finite field with an odd prime. The general result depends on the distribution of the divisors of and can be used to deduce results which hold for almost all primes.
On the Minimal Number of Small Elements Generating Finite Prime Fields
Munsch M.
2017-01-01
Abstract
In this note, we give an upper bound for the number of elements from the interval necessary to generate the finite field with an odd prime. The general result depends on the distribution of the divisors of and can be used to deduce results which hold for almost all primes.
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