Designs and Finite Geometries

Front Matter....Pages 1-7
A Life’s Work in Geometry: An Homage to Hanfried Lenz....Pages 9-22
Impossibility of a Certain Cyclotomic Equation with Applications to Difference Sets....Pages 23-27
On the Binary Codes of Steiner Triple Systems....Pages 29-43
Orthogonal Partitions in Designed Experiments....Pages 45-77
Regulus-free Spreads of PG (3, q )....Pages 79-89
Designs, Codes and Crypts—A Puzzle Altogether....Pages 91-101
5-Cycle Systems with Holes....Pages 103-108
Stories about Groups and Sequences....Pages 109-133
Groups Admitting a Kantor Family and a Factorized Normal Subgroup....Pages 135-143
Spreads in Strongly Regular Graphs....Pages 145-157
Codes Based on Complete Graphs....Pages 159-165
A Construction of Partial Difference Sets in $$ {\mathbb{Z}_{{{p^2}}}} \times {\mathbb{Z}_{{{p^2}}}} \times ... \times {\mathbb{Z}_{{{p^2}}}} $$ ....Pages 167-172
On the Characterisation of AG(n, q) by its Parameters as a Nearly Triply Regular Design....Pages 173-179
The Fundamental Theorem of q -Clan Geometry....Pages 181-202
Extension of Gravity Centers Configuration to Steiner Triple Systems....Pages 203-214
Constructions of Partial Difference Sets and Relative Difference Sets Using Galois Rings....Pages 215-227
 m -Systems and Partial m -Systems of Polar Spaces....Pages 229-238
Piotrowski’s Infinite Series of Steiner Quadruple Systems Revisited....Pages 239-254