Polynomial values in small subgroups of finite fields
Igor E. Shparlinski
University of New South Wales, Sydney, Australia
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Abstract
For a large prime , and a polynomial over a finite field of elements, we obtain a lower bound on the size of the multiplicative subgroup of containing consecutive values , uniformly over and an .
Cite this article
Igor E. Shparlinski, Polynomial values in small subgroups of finite fields. Rev. Mat. Iberoam. 32 (2016), no. 4, pp. 1127–1136
DOI 10.4171/RMI/909