Designs and Finite Geometries / Edition 1

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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.
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Editorial Reviews

A special issue of the international journal "Designs, Codes and Cryptography", consisting of papers in honor of Professor Hanfried Lenz, known for his work in finite geometry and design theory. Subjects include impossibility of a certain cyclotomic equation with applications to different sets; the binary codes of Steiner triple systems; 5-cycle systems with holes; codes based on complete graphs; the fundamental theorem of "q"-clan geometry; and Piotrowski's infinite series of Steiner quadruple systems revisited. No index. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

Table of Contents

Preface 7
A Life's Work in Geometry: An Homage to Hanfried Lenz 9
Impossibility of a Certain Cyclotomic Equation with Applications to Difference Sets 23
On the Binary Codes of Steiner Triple Systems 29
Orthogonal Partitions in Designed Experiments 45
Regulus-free Spreads of PG(3,q) 79
Designs, Codes and Crypts - A Puzzle Altogether 91
5-Cycle Systems with Holes 103
Stories about Groups and Sequences 109
Groups Admitting a Kantor Family and a Factorized Normal Subgroup 135
Spreads in Strongly Regular Graphs 145
Codes Based on Complete Graphs 159
A Construction of Partial Difference Sets in [actual symbol not reproducible] 167
On the Characterization of AG(n, q) by its Parameters as a Nearly Triply Regular Design 173
The Fundamental Theorem of q-Clan Geometry 181
Extension of Gravity Centers Configuration to Steiner Triple Systems 203
Constructions of Partial Difference Sets and Relative Differences Sets Using Galois Rings 215
m-Systems and Partial m-Systems of Polar Spaces 229
Piotrowski's Infinite Series of Steiner Quadruple Systems Revisited 239
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