54 citations · 95 across the 11 of their papers we have counts for
13 papers
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…
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…
Irreducible magic sets for -qubit systems
Stefan Trandafir, Petr Lisoněk, Adán Cabello
Magic sets of observables are minimal structures that capture quantum state-independent advantage for systems of qubits and are, therefore, fundamental tools for investiga…
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 to the field of order . When is odd and …
Construction of APN permutations via Walsh zero spaces
Benjamin Chase, Petr Lisonek
A Walsh zero space (WZ space) for is an -dimensional vector subspace of whose all nonzero elements are Walsh zeros of .…
Kim-type APN functions are affine equivalent to Gold functions
Benjamin Chase, Petr Lisonek
The problem of finding APN permutations of where is even and has been called the Big APN Problem. Li, Li, Helleseth and Qu recently characterized APN…
Maximal nonassociativity via fields
Petr Lisonek
We say that is an associative triple in a quasigroup if . Let denote the number of associative triples in . It is easy to show th…
Kochen-Specker sets in four-dimensional spaces
Brandon Elford, Petr Lisonek
For the first time we construct an infinite family of Kochen-Specker sets in a space of fixed dimension, namely in R^4. While most of the previous constructions of Kochen-Specker s…
Kochen-Specker sets and Hadamard matrices
Petr Lisonek
We introduce a new class of complex Hadamard matrices which have not been studied previously. We use these matrices to construct a new infinite family of parity proofs of the Koche…
Generalized parity proofs of the Kochen-Specker theorem
Petr Lisonek, Robert Raussendorf, Vijaykumar Singh
We discuss two approaches to producing generalized parity proofs of the Kochen-Specker theorem. Such proofs use contexts of observables whose product is or ; we call them c…
Kochen-Specker set with seven contexts
Petr Lisonek, Piotr Badziag, Jose R. Portillo +1
The Kochen-Specker (KS) theorem is a central result in quantum theory and has applications in quantum information. Its proof requires several yes-no tests that can be grouped in co…
Special Values of Multiple Polylogarithms
Jonathan M. Borwein, David M. Bradley, David J. Broadhurst +1
Historically, the polylogarithm has attracted specialists and non-specialists alike with its lovely evaluations. Much the same can be said for Euler sums (or multiple harmonic sums…
Combinatorial aspects of multiple zeta values
J. M. Borwein, D. M. Bradley, D. J. Broadhurst +1
Multiple zeta values (MZVs, also called Euler sums or multiple harmonic series) are nested generalizations of the classical Riemann zeta function evaluated at integer values. The f…