Ambiguity and deficiency of reversed Dickson permutations

Daniel Panario; Amin Sakzad; David Thomson

doi:10.1090/conm/632/12638

Ambiguity and deficiency of reversed Dickson permutations

Daniel Panario, Amin Sakzad, David Thomson

Electrical and Computer Systems Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-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 language	English
Title of host publication	Contemporary Mathematics: Topics in Finite Fields
Editors	Gohar Kyureghyan, Gary L Mullen, Alexander Pott
Place of Publication	Providence RI USA
Publisher	American Mathematical Society
Pages	347-358
Number of pages	12
Volume	632
ISBN (Print)	9780821898604
DOIs	https://doi.org/10.1090/conm/632/12638
Publication status	Published - 2015
Event	International Conference on Finite Fields and Their Applications 2013 - Magdeburg, Germany Duration: 22 Jul 2013 → 26 Jul 2013 Conference number: 11th

Publication series

Name	Contemporary Mathematics
Volume	632
ISSN (Print)	0271-4132
ISSN (Electronic)	1098-3627

Conference

Conference	International Conference on Finite Fields and Their Applications 2013
Abbreviated title	Fq11
Country/Territory	Germany
City	Magdeburg
Period	22/07/13 → 26/07/13

Keywords

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

Access to Document

10.1090/conm/632/12638

Cite this

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title = "Ambiguity and deficiency of reversed Dickson permutations",

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.",

keywords = "Almost perfect non-Linear functions, Ambiguity and deficiency, Dickson polynomials, Divisibility of binomial coefficients",

author = "Daniel Panario and Amin Sakzad and David Thomson",

note = "Publisher Copyright: {\textcopyright} 2015 American Mathematical Society. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.; International Conference on Finite Fields and Their Applications 2013, Fq11 ; Conference date: 22-07-2013 Through 26-07-2013",

year = "2015",

doi = "10.1090/conm/632/12638",

language = "English",

isbn = "9780821898604",

volume = "632",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "347--358",

editor = "Gohar Kyureghyan and Mullen, {Gary L} and Alexander Pott",

booktitle = "Contemporary Mathematics: Topics in Finite Fields",

address = "United States of America",

}

Panario, D, Sakzad, A & Thomson, D 2015, Ambiguity and deficiency of reversed Dickson permutations. in G Kyureghyan, GL Mullen & A Pott (eds), Contemporary Mathematics: Topics in Finite Fields. vol. 632, Contemporary Mathematics, vol. 632, American Mathematical Society, Providence RI USA, pp. 347-358, International Conference on Finite Fields and Their Applications 2013, Magdeburg, Saxony-Anhalt, Germany, 22/07/13. https://doi.org/10.1090/conm/632/12638

Ambiguity and deficiency of reversed Dickson permutations. / Panario, Daniel; Sakzad, Amin; Thomson, David.

Contemporary Mathematics: Topics in Finite Fields. ed. / Gohar Kyureghyan; Gary L Mullen; Alexander Pott. Vol. 632 Providence RI USA : American Mathematical Society, 2015. p. 347-358 (Contemporary Mathematics; Vol. 632).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

TY - GEN

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AU - Sakzad, Amin

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N1 - Conference code: 11th

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Y1 - 2015

N2 - 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.

AB - 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.

KW - Almost perfect non-Linear functions

KW - Ambiguity and deficiency

KW - Dickson polynomials

KW - Divisibility of binomial coefficients

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BT - Contemporary Mathematics: Topics in Finite Fields

A2 - Kyureghyan, Gohar

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PB - American Mathematical Society

CY - Providence RI USA

T2 - International Conference on Finite Fields and Their Applications 2013

Y2 - 22 July 2013 through 26 July 2013

ER -

Ambiguity and deficiency of reversed Dickson permutations

Abstract

Publication series

Conference

Keywords

Access to Document

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