activity
20072026
most citedReconstructing Extended Perfect Binary One-Error-Correcting Codes from Their Minimum Distance Graphs

13 citations · 68 across the 19 of their papers we have counts for

collaborators

24 papers

math.CO2026

Equivalence of Complex Hadamard Matrices

Patric R. J. Östergård, Tuomo Valtonen

Symmetry in the context of equivalence or isomorphism is a fundamental and natural concept in any study of discrete structures. Symmetries are also important for non-discrete struc…

math.CO2024

Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices

Ganzhinov Mikhail, Östergård Patric R. J

Let be the maximum size of a code containing only vectors of the th shell of the integer lattice such that the inner product between distinct…

math.CO2023

Improving Uniquely Decodable Codes in Binary Adder Channels

József Balogh, The Nguyen, Patric R. J. Ostergard +2

We present a general method to modify existing uniquely decodable codes in the -user binary adder channel. If at least one of the original constituent codes does not have averag…

math.CO2023

Enumerating Steiner Triple Systems

Daniel Heinlein, Patric R. J. Östergård

Steiner triple systems (STSs) have been classified up to order 19. Earlier estimations of the number of isomorphism classes of STSs of order 21, the smallest open case, are discour…

math.CO2021

Switching 3-edge-colorings of cubic graphs

Jan Goedgebeur, Patric R. J. Östergård

The chromatic index of a cubic graph is either 3 or 4. Edge-Kempe switching, which can be used to transform edge-colorings, is here considered for 3-edge-colorings of cubic graphs.…

math.CO2019

On the Structure of Small Strength- Covering Arrays

Janne I. Kokkala, Karen Meagher, Reza Naserasr +3

A covering array of strength is an array of symbols from an alphabet of size such that in every subarray, every -tuple occur…