Subfield value sets of polynomials over finite fields
type: Item
instance of: scholarly article
title: Subfield value sets of polynomials over finite fields
zbMATH Open document ID: 1300.11124
author: Wun-Seng Chou
author: Javier Gomez-Calderon
author: David Thomson
author: Gary L. Mullen
author: Daniel Panario
published in: Functiones et Approximatio. Commentarii Mathematici
publication date: 2013-04-24T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.facm/1364222836
review text: The paper is concerned with the value set of polynomials over finite fields which lies within a given subfield. Formulas for the size of subfield value sets are given for linearized polynomials, monomials, and Dickson polynomials.
reviewed by: Astrid Reifegerste
Mathematics Subject Classification ID: 11T06
zbMATH DE Number: 6157217
zbMATH Keywords: Dickson polynomial
zbMATH Keywords: linearized polynomial
zbMATH Keywords: power polynomial
zbMATH Keywords: value set
zbMATH Keywords: permutation polynomial
zbMATH Keywords: König-Rados Theorem
MaRDI profile type: Publication
OpenAlex ID: W2068656449
cites work: Value sets of Dickson polynomials over finite fields
cites work: Q4792294
cites work: On Chebyshev polynomials and maximal curves
cites work: Galois rings and algebraic cryptography
cites work: Polynomial representations of complete sets of frequency hyperrectangles with prime power dimensions
DOI: 10.7169/FACM/2013.48.1.12
description: scientific article; zbMATH DE number 6157217