CRC Handbook of Combinatorial Designs

Charles J. Colbourn (Herausgeber)

Buch | Hardcover

784 Seiten

1996
Crc Press Inc (Verlag)
978-0-8493-8948-1 (ISBN)

Infos

From experimental design to cryptography, this comprehensive, reference contains the facts that you need on combinatorial designs. It includes constructions of designs, existence results, and properties of designs and is organized into six main parts.

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From experimental design to cryptography, this comprehensive, easy-to-access reference contains literally all the facts you need on combinatorial designs. It includes constructions of designs, existence results, and properties of designs. Organized into six main parts, the CRC Handbook of Combinatorial Designs covers:

Inhalt

Balanced Incomplete Block Designs and t-Designs
2-(v,k,l) Designs of Small Order
BIBDs with Small Block Size
t-Designs, t = 3
Steiner Systems
Symmetric Designs
Resolvable and Near Resolvable Designs
Latin Squares, MOLS, and Orthogonal Arrays
Latin Squares
Mutually Orthogonal Latin Squares (MOLS)
Incomplete MOLS
Orthogonal Arrays of Index More Than One
Orthogonal Arrays of Strength More Than Two
Pairwise Balanced Designs
PBDs and GDDs: The Basics
PBDs: Recursive Constructions
PBD-Closure
Pairwise Balanced Designs as Linear Spaces
PBDs and GDDs of Higher Index
PBDs, Frames, and Resolvability
Other Combinatorial Designs
Association Schemes
Balanced (Part) Ternary Designs
Balanced Tournament Designs
Bhaskar Rao Designs
Complete Mappings and Sequencings of Finite Groups
Configurations
Costas Arrays
Coverings
Cycle Systems
Difference Families
Difference Matrices
Difference Sets: Abelian
Difference Sets: Nonabelian
Difference Triangle Sets
Directed Designs
D-Optimal Matrices
Embedding Partial Quasigroups
Equidistant Permutation Arrays
Factorial Designs
Frequency Squares
Generalized Quadrangles
Graph Decompositions and Designs
Graphical Designs
Hadamard Matrices and Designs
Hall Triple Systems
Howell Designs
Maximal Sets of MOLS
Mendelsohn Designs
The Oberwolfach Problem
Ordered Designs and Perpendicular Arrays
Orthogonal Designs
Orthogonal Main Effect Plans
Packings
Partial Geometries
Partially Balanced Incomplete Block Designs
Quasigroups
Quasi-Symmetric Designs
(r,l)-Designs
Room Squares
Self-Orthogonal Latin Squares (SOLS)
SOLS with a Symmetric Orthogonal Mate (SOLSSOM)
Sequences with Zero Autocorrelation
Skolem Sequences
Spherical t-Designs
Starters
Trades and Defining Sets
(t,m,s)-Nets
Tuscan Squares
t-Wise Balanced Designs
Uniformly Resolvable Designs
Vector Space Designs
Weighing Matrices and Conference Matrices
Whist Tournaments
Youden Designs, Generalized
Youden Squares
Applications
Codes
Computer Science: Selected Applications
Applications of Designs to Cryptography
Derandomization
Optimality and Efficiency: Comparing Block Designs
Group Testing
Scheduling a Tournament
Winning the Lottery
Related Mathematics and Computational Methods
Finite Groups and Designs
Number Theory and Finite Fields
Graphs and Multigraphs
Factorizations of Graphs
Strongly Regular Graphs
Two-Graphs
Classical Geometries
Projective Planes, Nondesarguesian
Computational Methods in Design Theory
Index

Produkt-Details

• Erscheint lt. Verlag: 21.2.1996
• Reihe/Serie: Discrete Mathematics and Its Applications
• Zusatzinfo: 260 Tables, black and white
• Verlagsort: Bosa Roca
• Sprache: englisch
• Maße: 178 x 254 mm
• Gewicht: 1533 g
• Einbandart: gebunden
• Themenwelt: Mathematik / Informatik ► Mathematik ► Graphentheorie
• ISBN-10: 0-8493-8948-8 / 0849389488
• ISBN-13: 978-0-8493-8948-1 / 9780849389481
• Zustand: Neuware