Alexander Pott

Orcid: 0000-0002-1125-1003

Affiliations:
  • Otto von Guericke University of Magdeburg, Germany


According to our database1, Alexander Pott authored at least 87 papers between 1988 and 2024.

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Bibliography

2024
Vectorial Boolean functions with the maximum number of bent components beyond the Nyberg's bound.
Des. Codes Cryptogr., March, 2024

2023
A New Transformation for Costas Arrays.
IEICE Trans. Fundam. Electron. Commun. Comput. Sci., December, 2023

Vectorial Bent-Negabent Functions - Their Constructions and Bounds.
IEEE Trans. Inf. Theory, April, 2023

Linear codes and incidence structures of bent functions and their generalizations.
Discret. Math., 2023

Sidon sets, sum-free sets and linear codes.
CoRR, 2023

2021
On Design-Theoretic Aspects of Boolean and Vectorial Bent Function.
IEEE Trans. Inf. Theory, 2021

Correction to: Cubic bent functions outside the completed Maiorana-McFarland class.
Des. Codes Cryptogr., 2021

On the Intersection Distribution of Degree Three Polynomials and Related Topics.
Electron. J. Comb., 2021

2020
Vanishing Flats: A Combinatorial Viewpoint on the Planarity of Functions and Their Application.
IEEE Trans. Inf. Theory, 2020

Intersection distribution, non-hitting index and Kakeya sets in affine planes.
Finite Fields Their Appl., 2020

Cubic bent functions outside the completed Maiorana-McFarland class.
Des. Codes Cryptogr., 2020

Editorial: Coding and Cryptography 2019.
Des. Codes Cryptogr., 2020

On design-theoretic aspects of Boolean and vectorial bent functions.
CoRR, 2020

A direct construction of primitive formally dual pairs having subsets with unequal sizes.
Cryptogr. Commun., 2020

Vectorial bent functions in odd characteristic and their components.
Cryptogr. Commun., 2020

2019
Formal duality in finite abelian groups.
J. Comb. Theory, Ser. A, 2019

Preface to the special issue on finite geometries.
Des. Codes Cryptogr., 2019

Equivalence for negabent functions and their relative difference sets.
Discret. Appl. Math., 2019

Generalized bent functions into ℤ p k $\mathbb {Z}_{p^{k}}$ from the partial spread and the Maiorana-McFarland class.
Cryptogr. Commun., 2019

2018
On the Maximum Number of Bent Components of Vectorial Functions.
IEEE Trans. Inf. Theory, 2018

On Symmetry and Differential Properties of Generalized Boolean Functions.
Proceedings of the Arithmetic of Finite Fields - 7th International Workshop, 2018

2017
Cayley Graphs of Diameter 2 from Difference Sets.
J. Graph Theory, 2017

2016
There Are Infinitely Many Bent Functions for Which the Dual Is Not Bent.
IEEE Trans. Inf. Theory, 2016

Almost perfect and planar functions.
Des. Codes Cryptogr., 2016

Editorial: finite geometries.
Des. Codes Cryptogr., 2016

Pairs of Quadratic Forms over Finite Fields.
Electron. J. Comb., 2016

2015
Bent Functions, Spreads, and o-Polynomials.
SIAM J. Discret. Math., 2015

Difference balanced functions and their generalized difference sets.
J. Comb. Theory, Ser. A, 2015

2014
Uniqueness of 𝔽<sub>q</sub>-quadratic perfect nonlinear maps from 𝔽<sub>q<sup>3</sup></sub> to 𝔽<sub>q</sub><sup>2</sup>.
Finite Fields Their Appl., 2014

Constructions of almost difference sets from finite fields.
Des. Codes Cryptogr., 2014

Some Results on Difference Balanced Functions.
Proceedings of the Arithmetic of Finite Fields - 5th International Workshop, 2014

Non-extendable F<sub>q</sub>-Quadratic Perfect Nonlinear Maps.
Proceedings of the Open Problems in Mathematics and Computational Science, 2014

2013
A Note on a Conjecture for Balanced Elementary Symmetric Boolean Functions.
IEEE Trans. Inf. Theory, 2013

Characterization of Negabent Functions and Construction of Bent-Negabent Functions With Maximum Algebraic Degree.
IEEE Trans. Inf. Theory, 2013

Generalized Maiorana-McFarland class and normality of p-ary bent functions.
Finite Fields Their Appl., 2013

CCZ and EA equivalence between mappings over finite Abelian groups.
Des. Codes Cryptogr., 2013

On the dual of (non)-weakly regular bent functions and self-dual bent functions.
Adv. Math. Commun., 2013

Difference sets, sequences, and multipliers.
Proceedings of the Sixth International Workshop on Signal Design and Its Applications in Communications, 2013

Difference sets.
Proceedings of the Handbook of Finite Fields., 2013

Bent and related functions.
Proceedings of the Handbook of Finite Fields., 2013

2012
Sequences and Functions Derived from Projective Planes and Their Difference Sets.
Proceedings of the Arithmetic of Finite Fields - 4th International Workshop, 2012

2011
Non-Boolean Almost Perfect nonlinear Functions on Non-Abelian Groups.
Int. J. Found. Comput. Sci., 2011

Association schemes arising from bent functions.
Des. Codes Cryptogr., 2011

A character theoretic approach to planar functions.
Cryptogr. Commun., 2011

2010
Strongly regular graphs associated with ternary bent functions.
J. Comb. Theory, Ser. A, 2010

Switching Construction of Planar Functions on Finite Fields.
Proceedings of the Arithmetic of Finite Fields, Third International Workshop, 2010

2009
On the Equivalence of Nonlinear Functions.
Proceedings of the Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes, 2009

On differential uniformity and nonlinearity of functions.
Discret. Math., 2009

A new almost perfect nonlinear function which is not quadratic.
Adv. Math. Commun., 2009

On Designs and Multiplier Groups Constructed from Almost Perfect Nonlinear Functions.
Proceedings of the Cryptography and Coding, 2009

2008
Two applications of relative difference sets: Difference triangles and negaperiodic autocorrelation functions.
Discret. Math., 2008

Two results on maximum nonlinear functions.
Des. Codes Cryptogr., 2008

Some Theorems on Planar Mappings.
Proceedings of the Arithmetic of Finite Fields, 2nd International Workshop, 2008

Negabent Functions in the Maiorana-McFarland Class.
Proceedings of the Sequences and Their Applications, 2008

Results on the Crosscorrelation and Autocorrelation of Sequences.
Proceedings of the Sequences and Their Applications, 2008

2007
On Boolean Functions Which Are Bent and Negabent.
Proceedings of the Sequences, Subsequences, and Consequences, International Workshop, 2007

2006
A new APN function which is not equivalent to a power mapping.
IEEE Trans. Inf. Theory, 2006

New classes of almost bent and almost perfect nonlinear polynomials.
IEEE Trans. Inf. Theory, 2006

On abelian (2<sup>2<i>m</i>+1</sup>(2<sup><i>m</i>-1</sup>+1), 2<sup><i>m</i></sup>(2<sup><i>m</i></sup>+1), 2<sup><i>m</i></sup>)-difference sets.
J. Comb. Theory, Ser. A, 2006

2004
Nonlinear functions in abelian groups and relative difference sets.
Discret. Appl. Math., 2004

Group Algebras and Correlation Immune Functions.
Proceedings of the Sequences and Their Applications, 2004

2003
APN functions in odd characteristic.
Discret. Math., 2003

On the Linear Complexity of the Sidelnikov-Lempel-Cohn-Eastman Sequences.
Des. Codes Cryptogr., 2003

2000
The Hamiltonian p-Median Problem.
Electron. J. Comb., 2000

1999
Perfect and Almost Perfect Sequences.
Discret. Appl. Math., 1999

1996
Impossibility of a Certain Cyclotomic Equation with Applications to Difference Sets.
Des. Codes Cryptogr., 1996

1995
Existence and nonexistence of almost-perfect autocorrelation sequences.
IEEE Trans. Inf. Theory, 1995

The Solution of the Waterloo Problem.
J. Comb. Theory, Ser. A, 1995

Relative difference sets with n = 2.
Discret. Math., 1995

1994
On the Structure of Abelian Groups Admitting Divisible Difference Sets.
J. Comb. Theory, Ser. A, 1994

Strongly Regular Cayley Graphs with lambda - mu = -1.
J. Comb. Theory, Ser. A, 1994

Erratum.
Graphs Comb., 1994

A New Class of Symmetric (nu, k, lambda)-Designs.
Des. Codes Cryptogr., 1994

Variations on the McFarland and Spence constructions of difference sets.
Australas. J Comb., 1994

1992
Cyclic affine planes and Paley difference sets.
Discret. Math., 1992

On Abelian Difference Set Codes.
Des. Codes Cryptogr., 1992

New necessary conditions on the existence of abelian difference sets.
Comb., 1992

1991
The mann test for divisible difference sets.
Graphs Comb., 1991

t-Designs with few intersection numbers.
Discret. Math., 1991

Some construction of group divisible designs with singer groups.
Discret. Math., 1991

Symmetric divisible designs with k-lambda<sub>1</sub> = 1.
Discret. Math., 1991

On Quasiregular Collineation Groups of Projective Planes.
Des. Codes Cryptogr., 1991

Some nonexistence results on divisible difference sets.
Comb., 1991

1990
An affine analogue of Wilbrink's theorem.
J. Comb. Theory, Ser. A, 1990

A Note on Intersection Numbers of Difference Sets.
Eur. J. Comb., 1990

1989
A note on self-orthogonal codes.
Discret. Math., 1989

1988
A Note on Non-Abelian Planar Difference Sets.
Eur. J. Comb., 1988


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