P. Lisoněk

activity

20192022

most citedNew quantum codes from self-dual codes over F_4

2 citations · 2 across the 4 of their papers we have counts for

collaborators

6 papers

cs.IT2022

On the equivalence of linear cyclic and constacyclic codes

Reza Dastbasteh, Petr Lisonek

We introduce new sufficient conditions for permutation and monomial equivalence of linear cyclic codes over various finite fields. We recall that monomial equivalence and isometric…

cs.IT2022★ 2 cited

New quantum codes from self-dual codes over F_4

Reza Dastbasteh, Petr Lisonek

We present new constructions of binary quantum codes from quaternary linear Hermitian self-dual codes. Our main ingredients for these constructions are nearly self-orthogonal cycli…

cs.IT2021

Non-existence results for vectorial bent functions with Dillon exponent

Lucien Lapierre, Petr Lisonek

We prove new non-existence results for vectorial monomial Dillon type bent functions mapping the field of order $2^{2 m}$ to the field of order $2^{m /3}$ . When $m$ is odd and $m > 3$ …

cs.IT2021

Construction of APN permutations via Walsh zero spaces

Benjamin Chase, Petr Lisonek

A Walsh zero space (WZ space) for $f : F_{2^{n}} \to F_{2^{n}}$ is an $n$ -dimensional vector subspace of $F_{2^{n}} \times F_{2^{n}}$ whose all nonzero elements are Walsh zeros of $f$ .…

cs.IT2020

Kim-type APN functions are affine equivalent to Gold functions

Benjamin Chase, Petr Lisonek

The problem of finding APN permutations of $F_{2^{n}}$ where $n$ is even and $n > 6$ has been called the Big APN Problem. Li, Li, Helleseth and Qu recently characterized APN…

math.CO2019

Maximal nonassociativity via fields

Petr Lisonek

We say that $(x, y, z) \in Q^{3}$ is an associative triple in a quasigroup $Q (*)$ if $(x * y) * z = x * (y * z)$ . Let $a (Q)$ denote the number of associative triples in $Q$ . It is easy to show th…