Ebook: Designs and Finite Geometries

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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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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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.
Content:
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

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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.
Content:
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
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