Designs and Finite Geometries

ISBN-13: 9781461286042 / Angielski / Miękka / 2011 / 254 str.

Dieter Jungnickel

Opis

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.

Spis treści

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 $$ {\mathbb_{{{p^2}}}} \times {\mathbb_{{{p^2}}}} \times ... \times {\mathbb_{{{p^2}}}} $$.- 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.