Value sets of Dickson polynomials over finite fields

Wun Seng Chou, Javier Gomez-Calderon, Gary L. Mullen

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

Let Fq denote the finite field of order q where q is a prime power. If a ∈ Fq and d ≥ 1 is an integer, define the Dickson polynomial gd(x, a) = ∑t=0[ d 2] ( d (d-t))(td-t)(-atxd-2t. Let {gd(x, a) | x ∈ Fq} denote the image or value set of the polynomial gd(x, a). In this paper we determine the cardinality of the value set for the Dickson polynomial gd(x, a) over the finite field Fq.

Original languageEnglish (US)
Pages (from-to)334-344
Number of pages11
JournalJournal of Number Theory
Volume30
Issue number3
DOIs
StatePublished - Nov 1988

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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