Designs And Finite Geometries (designs Codes And Cryptography: An International Journal) (paperback)

__Designs and Finite Geometries__ brings together in one place important contributions and up-to-date research results in this important area of mathematics. __Designs and Finite Geometries__ serves as an excellent reference, providing insight into some of the most important research issues in the field. 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