Abstract
Let $\mathbb{F}_{q^e}$ be a finite field, and let $\mathbb{F}_{q^d}$ be a subfield of $\mathbb{F}_{q^e}$. The \emph{value set} of a polynomial $f$ lying within $\mathbb{F}_{q^d}$ is defined as the set of images $\{f(c) \in \\mathbb{F}_{q^d}\colon c \in \mathbb{F}_{q^e}\}$. This work is concerned with the cardinality of value sets of polynomials lying within subfields.
Citation
Wun-Seng Chou. Javier Gomez-Calderon. Gary L. Mullen. Daniel Panario. David Thomson. "Subfield value sets of polynomials over finite fields." Funct. Approx. Comment. Math. 48 (1) 147 - 165, March 2013. https://doi.org/10.7169/facm/2013.48.1.12
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