Robert S. Coulter

Orcid: 0000-0002-1546-8779

According to our database1, Robert S. Coulter authored at least 27 papers between 1997 and 2023.

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Bibliography

2023
Bounds on the differential uniformity of the Wan-Lidl polynomials.
Cryptogr. Commun., December, 2023

Permutation Resemblance.
IEEE Trans. Inf. Theory, October, 2023

Algorithms for computing the permutation resemblance of functions over finite groups.
CoRR, 2023

2022
Classifying planar monomials over fields of order a prime cubed.
Finite Fields Their Appl., 2022

2021
Generalized isotopic shift construction for APN functions.
Des. Codes Cryptogr., 2021

2020
Constructing APN Functions Through Isotopic Shifts.
IEEE Trans. Inf. Theory, 2020

2019
Preface to the Special Issue of <i>Discrete Mathematics</i>: Dedicated to the <i>Algebraic and Extremal Graph Theory</i> Conference, August 7-10, 2017, University of Delaware, Newark, USA.
Discret. Math., 2019

Image sets with regularity of differences.
Cryptogr. Commun., 2019

On Isotopic Shift Construction for Planar Functions.
Proceedings of the IEEE International Symposium on Information Theory, 2019

2018
Bent Functions From Involutions Over 𝔽<sub>2<sup>n</sup></sub>.
IEEE Trans. Inf. Theory, 2018

Planar polynomials and an extremal problem of Fischer and Matoušek.
J. Comb. Theory, Ser. B, 2018

2015
A general representation theory for constructing groups of permutation polynomials.
Finite Fields Their Appl., 2015

2014
On expressing elements as a sum of squares, where one square is restricted to a subfield.
Finite Fields Their Appl., 2014

2013
On a conjecture on planar polynomials of the form <i>X</i>(Tr<sub><i>n</i></sub>(<i>X</i>)-<i>u</i><i>X</i>).
Finite Fields Their Appl., 2013

Subsets of finite groups exhibiting additive regularity.
Discret. Math., 2013

Planar functions and commutative semifields.
Proceedings of the Handbook of Finite Fields., 2013

k-polynomials and related algebraic objects.
Proceedings of the Handbook of Finite Fields., 2013

2012
On the classification of planar monomials over fields of square order.
Finite Fields Their Appl., 2012

2011
On the number of distinct values of a class of functions over a finite field.
Finite Fields Their Appl., 2011

2010
Dembowski-Ostrom polynomials from Dickson polynomials.
Finite Fields Their Appl., 2010

2009
A note on constructing permutation polynomials.
Finite Fields Their Appl., 2009

Special subsets of difference sets with particular emphasis on skew Hadamard difference sets.
Des. Codes Cryptogr., 2009

2007
Planar polynomials for commutative semifields with specified nuclei.
Des. Codes Cryptogr., 2007

2002
Modelling Trust Structures for Public Key Infrastructures.
Proceedings of the Information Security and Privacy, 7th Australian Conference, 2002

1999
A class of functions and their application in constructing semi-biplanes and association schemes.
Discret. Math., 1999

1998
Planar functions and related topics in finite fields / by R.S Coulter
PhD thesis, 1998

1997
Planar Functions and Planes of Lenz-Barlotti Class II.
Des. Codes Cryptogr., 1997


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