Ambiguity and deficiency of reversed Dickson permutations

Daniel Panario, Amin Sakzad, David Thomson

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

Abstract

We give the ambiguity and deficiency of two classes of binary reversed Dickson polynomials. The determination of their ambiguity and deficiency depends on new results on the 2-divisibility of binomial coefficients. We also give some conjectures regarding the ambiguity and deficiency for the other two classes of binary reversed Dickson polynomials.

Original languageEnglish
Title of host publicationContemporary Mathematics: Topics in Finite Fields
EditorsGohar Kyureghyan, Gary L Mullen, Alexander Pott
Place of PublicationProvidence RI USA
PublisherAmerican Mathematical Society
Pages347-358
Number of pages12
Volume632
ISBN (Print)9780821898604
DOIs
Publication statusPublished - 2015
EventInternational Conference on Finite Fields and Their Applications 2013 - Magdeburg, Germany
Duration: 22 Jul 201326 Jul 2013
Conference number: 11th

Publication series

NameContemporary Mathematics
Volume632
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Conference

ConferenceInternational Conference on Finite Fields and Their Applications 2013
Abbreviated titleFq11
Country/TerritoryGermany
CityMagdeburg
Period22/07/1326/07/13

Keywords

  • Almost perfect non-Linear functions
  • Ambiguity and deficiency
  • Dickson polynomials
  • Divisibility of binomial coefficients

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