Subfield value sets of polynomials over finite fields

Wun Seng Chou, Javier Gomez-Calderon, Gary Lee Mullen, Daniel Panario, David Thomson

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)147-165
Number of pages19
JournalFunctiones et Approximatio, Commentarii Mathematici
Volume48
Issue number1
DOIs
StatePublished - Jan 1 2013

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Subfield
Galois field
Polynomial
Cardinality

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Chou, Wun Seng ; Gomez-Calderon, Javier ; Mullen, Gary Lee ; Panario, Daniel ; Thomson, David. / Subfield value sets of polynomials over finite fields. In: Functiones et Approximatio, Commentarii Mathematici. 2013 ; Vol. 48, No. 1. pp. 147-165.
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Subfield value sets of polynomials over finite fields. / Chou, Wun Seng; Gomez-Calderon, Javier; Mullen, Gary Lee; Panario, Daniel; Thomson, David.

In: Functiones et Approximatio, Commentarii Mathematici, Vol. 48, No. 1, 01.01.2013, p. 147-165.

Research output: Contribution to journalArticle

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