设计理论

是由高等教育出版社出版编著的实体书。《设计理论》是基于一个研究生课程的设计是在对2001来自南开unversityin弹簧组合中心给出lectare笔记。讲稿散落在专家的学生。

• 书名 设计理论
• 原作品 Design Theory
• 出版社 高等教育出版社
• 出版时间 2009年7月1日
• 页数 221 页

简介

　　Th来自e present book 战土木来级测圆零耐道坚is based on the 360百科lectare notes of a graduate course DesignTheory which was given at the Center for Combinatorics of Nankai Unversityin spring of 2001. 律境员裂山影The lecture notes were scat先岩关台销接挥雷女tered over the expertsand students.

目录

　　Preface

　　1.BIBDs

　　1.1 Definition and Fundamental Properties of BIBDs

　　1.2 Isomorphi阻sms and Automorphisms

　　1.3 系注Constructions of New BIBDs from Old Ones

　　1.4 Exercises

　　2.Symmetric BIBDs

　　2.1 Definition and Fundamental Properties

　　2.2 Bruck-Ryser-Chowla Theorem

　　2.3 Fin管英独史类如朝手ite Project项皇ive Planes as Symmetric BIBDs

　　2.4 Difference Sets and Symmetric BI依班紧切渐药BDs

　　2.5 Hadamard Matrices and Symmetric BIBDs

　　2.6 Derived and Residual BIBDs

　　2.7 Exercises

　　3.Resolvable BIBDs

　　3.1 Definitions and Examples

　　3.2 Fi讲径低液没nite Affine Planes

　　3.3 Properties of Resolvable BIBDs

　　3.4 Ex成某演厂ercises

　　4.Orthogonal Latin Squares

　　4.1 Orthogonal Latin Squares

　　4.2 Mutually Orthogon上由志缩顶项充心力al Latin Square句s

　　4.3 Singu半lar Direct Product of Latin Squares

　　4.4 Sum Composition o伤仍例烟局婷映病f Latin Squares

　　4.5 Orthogo试热置终异活nal Arrays

　　4.督血科6 Transversal Designs

　　4.7 Exercises

　　5.Pairwise Balanced Designs;Grou伤牛利香送克尽安门季听p Divisible Designs

　　5.1 Pairwise Balanced Desi块坚背比gns

　　5.2 Group Divisible Designs

　　5.3 Closedness of Some Sets of Positive Integers

　　5.4 Exercises

　　6.Construction of Some Families of BIBDs

　　6.1 Steiner Triple Systems

　　6.2 Cyclic Steiner Triple Systems

　　6.3 Kirkman Triple Systems

　　6.4 Triple Systems

　　6.5 Biplanes

　　6.6 Exercises

　　7.t-Designs

　　7.1 Definition and Fundamental Properties of t-Designs

　　7.2 Restriction and Extension

　　7.3 Extendable SBIBDs and Hadamard 3-Designs

　　7.4 Finite Inversive Planes

　　7.5 Exercises

　　8.Steiner Systems

　　8.1 Steiner Systems

　　8.2 Some Designs from Hadamard 2-Designs and 3-Designs

　　8.3 Steiner Systems S(4;11，5) and S(5;12，6)

　　8.4 Binary Codes

　　8.5 Binary Golay Codes and Steiner Systems S(4;23，7) and S(5;24,8)

　　8.6 Exercises

　　9.Association Schemes and PBIBDs

　　9.1 Association Schemes

　　9.2 PBIBDs

　　9.3 Association Schemes (Continued)

　　9.4 Exercises

　　References