Finite geometries

This special issue of Designs, Codes and Cryptography showcases a collection of research papers from the 6th Irsee Conference on Finite Geometries, held in 2022. The papers delve into various aspects of finite geometry, a pivotal area in mathematics intertwined with combinatorial structures and algebraic design theory. Key topics include investigations into quadratic sets on the Klein quadric, Sperner-type theorems for submodules, Buekenhout-Tits unitals, and the classification of planes intersecting the Veronese surface. Additionally, the volume explores vector space partitions, geometric constructions of arcs, and the construction of linear codes from ovals and KM-arcs. Notably, the research presented addresses contemporary challenges in information security and data transmission, underscoring the significance of finite geometry in modern coding theory and cryptography. This compilation of papers reflects the current trends and challenges in the study of finite geometries, offering valuable contributions to the field and inspiring further collaborative efforts.