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Books and Theses
- 1998
[b1]Robert S. Coulter:
Planar functions and related topics in finite fields / by R.S Coulter. University of Queensland, Australia, 1998
Journal Articles
- 2025
- [j23]Samuele Andreoli
, Lilya Budaghyan, Robert S. Coulter, Alise Haukenes, Nikolay S. Kaleyski, Enrico Piccione:
On a classification of planar functions in characteristic three. Cryptogr. Commun. 17(4): 823-853 (2025) - [j22]Robert S. Coulter, Bradley Fain:
A class of functions and their application in constructing semisymmetric designs. Des. Codes Cryptogr. 93(4): 923-935 (2025) - 2023
- [j21]Li-An Chen, Robert S. Coulter:
Bounds on the differential uniformity of the Wan-Lidl polynomials. Cryptogr. Commun. 15(6): 1069-1085 (2023) - [j20]Li-An Chen, Robert S. Coulter:
Permutation Resemblance. IEEE Trans. Inf. Theory 69(10): 6711-6718 (2023) - 2022
- [j19]Emily Bergman, Robert S. Coulter, Irene Villa:
Classifying planar monomials over fields of order a prime cubed. Finite Fields Their Appl. 78: 101959 (2022) - 2021
- [j18]Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa:
Generalized isotopic shift construction for APN functions. Des. Codes Cryptogr. 89(1): 19-32 (2021) - 2020
- [j17]Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa:
Constructing APN Functions Through Isotopic Shifts. IEEE Trans. Inf. Theory 66(8): 5299-5309 (2020) - 2019
- [j16]Patrick G. Cesarz, Robert S. Coulter:
Image sets with regularity of differences. Cryptogr. Commun. 11(6): 1307-1337 (2019) - [j15]Sebastian M. Cioaba, Robert S. Coulter, Eugene Fiorini, Qing Xiang:
Preface to the Special Issue of Discrete Mathematics: Dedicated to the Algebraic and Extremal Graph Theory Conference, August 7-10, 2017, University of Delaware, Newark, USA. Discret. Math. 342(10): 2759 (2019) - 2018
- [j14]Robert S. Coulter, Rex W. Matthews, Craig Timmons:
Planar polynomials and an extremal problem of Fischer and Matoušek. J. Comb. Theory B 128: 96-103 (2018) - [j13]Robert S. Coulter, Sihem Mesnager:
Bent Functions From Involutions Over 𝔽2n. IEEE Trans. Inf. Theory 64(4): 2979-2986 (2018) - 2015
- [j12]Chris Castillo, Robert S. Coulter:
A general representation theory for constructing groups of permutation polynomials. Finite Fields Their Appl. 35: 172-203 (2015) - 2014
- [j11]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: 116-122 (2014) - 2013
- [j10]Robert S. Coulter, Todd Gutekunst:
Subsets of finite groups exhibiting additive regularity. Discret. Math. 313(3): 236-248 (2013) - [j9]Robert S. Coulter, Marie Henderson:
On a conjecture on planar polynomials of the form X(Trn(X)-uX). Finite Fields Their Appl. 21: 30-34 (2013) - 2012
- [j8]Robert S. Coulter, Felix Lazebnik:
On the classification of planar monomials over fields of square order. Finite Fields Their Appl. 18(2): 316-336 (2012) - 2011
- [j7]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): 220-224 (2011) - 2010
- [j6]Robert S. Coulter, Rex W. Matthews:
Dembowski-Ostrom polynomials from Dickson polynomials. Finite Fields Their Appl. 16(5): 369-379 (2010) - 2009
- [j5]Robert S. Coulter, Todd Gutekunst:
Special subsets of difference sets with particular emphasis on skew Hadamard difference sets. Des. Codes Cryptogr. 53(1): 1-12 (2009) - [j4]Robert S. Coulter, Marie Henderson, Rex W. Matthews:
A note on constructing permutation polynomials. Finite Fields Their Appl. 15(5): 553-557 (2009) - 2007
- [j3]Robert S. Coulter, Marie Henderson, Pamela Kosick:
Planar polynomials for commutative semifields with specified nuclei. Des. Codes Cryptogr. 44(1-3): 275-286 (2007) - 1999
- [j2]Robert S. Coulter, Marie Henderson:
A class of functions and their application in constructing semi-biplanes and association schemes. Discret. Math. 202(1-3): 21-31 (1999) - 1997
- [j1]Robert S. Coulter, Rex W. Matthews:
Planar Functions and Planes of Lenz-Barlotti Class II. Des. Codes Cryptogr. 10(2): 167-184 (1997)
Conference and Workshop Papers
- 2019
- [c2]Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa:
On Isotopic Shift Construction for Planar Functions. ISIT 2019: 2962-2966 - 2002
- [c1]Marie Henderson, Robert S. Coulter, Ed Dawson, Eiji Okamoto:
Modelling Trust Structures for Public Key Infrastructures. ACISP 2002: 56-70
Parts in Books or Collections
- 2013
- [p2]Robert S. Coulter:
k-polynomials and related algebraic objects. Handbook of Finite Fields 2013: 273-277 - [p1]Robert S. Coulter:
Planar functions and commutative semifields. Handbook of Finite Fields 2013: 278-281
Informal and Other Publications
- 2023
- [i5]Li-An Chen, Robert S. Coulter:
Permutation resemblance. CoRR abs/2302.03081 (2023) - [i4]Li-An Chen, Robert S. Coulter:
Algorithms for computing the permutation resemblance of functions over finite groups. CoRR abs/2302.04300 (2023) - 2022
- [i3]Li-An Chen, Robert S. Coulter:
Bounds on the differential uniformity of the Wan-Lidl polynomials. CoRR abs/2211.04527 (2022) - 2020
- [i2]Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa:
Generalized Isotopic Shift Construction for APN Functions. IACR Cryptol. ePrint Arch. 2020: 295 (2020) - 2018
- [i1]Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa:
Constructing APN functions through isotopic shifts. IACR Cryptol. ePrint Arch. 2018: 769 (2018)
Coauthor Index
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