123 citations · 126 across the 4 of their papers we have counts for
4 papers
Changing almost perfect nonlinear functions on affine subspaces of small codimensions
Hiroaki Taniguchi, Alexandr Polujan, Alexander Pott +1
In this article, we study algebraic decompositions and secondary constructions of almost perfect nonlinear (APN) functions. In many cases, we establish precise criteria which chara…
On large Sidon sets
Ingo Czerwinski, Alexander Pott
A Sidon set is a subset of such that the sum of four distinct elements of is never 0. The goal is to find Sidon sets of large size. In this note we show th…
A characterization of a class of maximum nonlinear functions
Doreen Hertel, Alexander Pott
Maximum nonlinear functions on finite fields are widely used in cryptography because the coordinate functions have large distance to linear functions. More precisely, the Hamming d…
A new APN function which is not equivalent to a power mapping
Yves Edel, Gohar Kyureghyan, Alexander Pott
A new almost perfect nonlinear function (APN) on the finite field GF(2^10) which is not equivalent to any of the previously known APN mappings is constructed. This is the first exa…