## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- AIMS Mathematics
- Conference Publications
- Electronic Research Announcements
- Mathematics in Engineering

### Open Access Journals

AMC

Following an example in [12],
we show how to change one coordinate function of an
almost perfect nonlinear
(APN) function in order to obtain new examples. It turns out that
this is a very powerful method to construct new
APN functions. In particular, we show that our approach can
be used to construct a ''non-quadratic'' APN function.
This new example
is in remarkable contrast to all recently constructed functions which
have all been quadratic.
An equivalent function has been found
independently
by Brinkmann and Leander [8]. However, they
claimed that their function is CCZ equivalent to a quadratic one. In this
paper we give several reasons
why this new function is not equivalent to a quadratic one.

AMC

For weakly regular bent functions in odd characteristic the dual function is also bent.
We analyse a recently introduced construction of non-weakly regular bent functions and
show conditions under which their dual is bent as well. This leads to the definition of
the class of dual-bent functions containing the class of weakly regular bent functions as a proper subclass.
We analyse self-duality for bent functions in odd characteristic, and characterize quadratic
self-dual bent functions. We construct non-weakly regular bent functions with and without a
bent dual, and bent functions with a dual bent function of a different algebraic degree.

## Year of publication

## Related Authors

## Related Keywords

[Back to Top]