How to burn a Latin square

A Bonato, C Jones, TG Marbach, T Mishura - arxiv preprint arxiv …, 2024 - arxiv.org
We investigate the lazy burning process for Latin squares by studying their associated
hypergraphs. In lazy burning, a set of vertices in a hypergraph is initially burned, and that …

QC-LDPC Codes from Difference Matrices and Difference Covering Arrays

DM Donovan, A Rao, E Üsküplü, EŞ Yazici - IEEE Access, 2023 - ieeexplore.ieee.org
We give a framework that generalizes LDPC code constructions using transversal designs
or related structures such as mutually orthogonal Latin squares. Our constructions offer a …