Designs and Finite Geometries

A Life’s Work in Geometry: An Homage to Hanfried Lenz.- Impossibility of a Certain Cyclotomic Equation with Applications to Difference Sets.- On the Binary Codes of Steiner Triple Systems.- Orthogonal Partitions in Designed Experiments.- Regulus-free Spreads of Content(3, PG).- Designs, Codes and Crypts—A Puzzle Altogether.- 5-Cycle Systems with Holes.- Stories about Groups and Sequences.- Groups Admitting a Kantor Family and a Factorized Normal Subgroup.- Spreads in Strongly Regular Graphs.- Codes Based on Complete Graphs.- A Construction of Partial Difference Sets in $$ {\mathbb{Z}_{{{p^2}}}} \times {\mathbb{Z}_{{{p^2}}}} \times ... \times {\mathbb{Z}_{{{p^2}}}} $$.- On the Characterisation of AG(n, q) by its Parameters as a Nearly Triply Regular Design.- The Fundamental Theorem of q-Clan Geometry.- Extension of Gravity Centers Configuration to Steiner Triple Systems.- Constructions of Partial Difference Sets and Relative Difference Sets Using Galois Rings.- m-Systems and Partial m-Systems of Polar Spaces.- Piotrowski’s Infinite Series of Steiner Quadruple Systems Revisited.