Let Fqe be a finite field, and let Fqd be a subfield of Fqe . The value set of a polynomial f lying within Fqd is defined as the set of images {f(c) € Fqd : c € Fqe}. This work is concerned with the cardinality of value sets of polynomials lying within subfields.

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Keywords Dickson polynomial, Kig-Rados Theorem, Linearized Polynomial, Permutation polynomial, Power Polynomial, Value Set
Persistent URL dx.doi.org/10.7169/facm/2013.48.1.12
Series Functiones et Approximatio, Commentarii Mathematici
Citation
Chou, W.-S. (Wun-Seng), Gomez-Calderon, J. (Javier), Mullen, G.L. (Gary L.), Panario, D, & Thomson, D. (David). (2013). Subfield value sets of polynomials over finite fields. Functiones et Approximatio, Commentarii Mathematici. doi:10.7169/facm/2013.48.1.12