Robert S. Coulter

Publication Activity (10 Years)

Years Active: 1997-2023
Publications (10 Years): 16

Top Topics

Mathematical Functions

Worst Case Bounds

Image Set Classification

Algebraic Geometry

Top Venues

Finite Fields Their Appl.

IEEE Trans. Inf. Theory

IACR Cryptol. ePrint Arch.

Publications

Li-An Chen, Robert S. Coulter
Bounds on the differential uniformity of the Wan-Lidl polynomials. Cryptogr. Commun. 15 (6) (2023)
Li-An Chen, Robert S. Coulter
Permutation resemblance. CoRR (2023)
Li-An Chen, Robert S. Coulter
Permutation Resemblance. IEEE Trans. Inf. Theory 69 (10) (2023)
Li-An Chen, Robert S. Coulter
Algorithms for computing the permutation resemblance of functions over finite groups. CoRR (2023)
Emily Bergman, Robert S. Coulter, Irene Villa
Classifying planar monomials over fields of order a prime cubed. Finite Fields Their Appl. 78 (2022)
Li-An Chen, Robert S. Coulter
Bounds on the differential uniformity of the Wan-Lidl polynomials. CoRR (2022)
Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa
Generalized isotopic shift construction for APN functions. Des. Codes Cryptogr. 89 (1) (2021)
Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa
Constructing APN Functions Through Isotopic Shifts. IEEE Trans. Inf. Theory 66 (8) (2020)
Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa
Generalized Isotopic Shift Construction for APN Functions. IACR Cryptol. ePrint Arch. 2020 (2020)
Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa
On Isotopic Shift Construction for Planar Functions. ISIT (2019)
Patrick G. Cesarz, Robert S. Coulter
Image sets with regularity of differences. Cryptogr. Commun. 11 (6) (2019)
Sebastian M. Cioaba, Robert S. Coulter, Eugene Fiorini, Qing Xiang
Conference, August 7-10, 2017, University of Delaware, Newark, USA. Discret. Math. 342 (10) (2019)
Robert S. Coulter, Sihem Mesnager
. IEEE Trans. Inf. Theory 64 (4) (2018)
Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa
Constructing APN functions through isotopic shifts. IACR Cryptol. ePrint Arch. 2018 (2018)
Robert S. Coulter, Rex W. Matthews, Craig Timmons
Planar polynomials and an extremal problem of Fischer and Matoušek. J. Comb. Theory, Ser. B 128 (2018)
Chris Castillo, Robert S. Coulter
A general representation theory for constructing groups of permutation polynomials. Finite Fields Their Appl. 35 (2015)
Robert S. Coulter, Pamela Kosick
On expressing elements as a sum of squares, where one square is restricted to a subfield. Finite Fields Their Appl. 26 (2014)
Robert S. Coulter, Todd Gutekunst
Subsets of finite groups exhibiting additive regularity. Discret. Math. 313 (3) (2013)
Robert S. Coulter, Marie Henderson
). Finite Fields Their Appl. 21 (2013)
Robert S. Coulter, Felix Lazebnik
On the classification of planar monomials over fields of square order. Finite Fields Their Appl. 18 (2) (2012)
Robert S. Coulter, Rex W. Matthews
On the number of distinct values of a class of functions over a finite field. Finite Fields Their Appl. 17 (3) (2011)
Robert S. Coulter, Rex W. Matthews
Dembowski-Ostrom polynomials from Dickson polynomials. Finite Fields Their Appl. 16 (5) (2010)
Robert S. Coulter, Todd Gutekunst
Special subsets of difference sets with particular emphasis on skew Hadamard difference sets. Des. Codes Cryptogr. 53 (1) (2009)
Robert S. Coulter, Marie Henderson, Rex W. Matthews
A note on constructing permutation polynomials. Finite Fields Their Appl. 15 (5) (2009)
Robert S. Coulter, Marie Henderson, Pamela Kosick
Planar polynomials for commutative semifields with specified nuclei. Des. Codes Cryptogr. 44 (1-3) (2007)
Marie Henderson, Robert S. Coulter, Ed Dawson, Eiji Okamoto
Modelling Trust Structures for Public Key Infrastructures. ACISP (2002)
Robert S. Coulter, Marie Henderson
A class of functions and their application in constructing semi-biplanes and association schemes. Discret. Math. 202 (1-3) (1999)
Robert S. Coulter, Rex W. Matthews
Planar Functions and Planes of Lenz-Barlotti Class II. Des. Codes Cryptogr. 10 (2) (1997)