Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence

chapter |2 pages

Part I: Introduction

chapter 1|8 pages

Opening the Door

chapter 2|12 pages

Design Theory: Antiquity to 1950

chapter |2 pages

Part II: Block Designs

chapter 2|14 pages

Triple Systems

chapter 5|8 pages

Steiner Systems

chapter 6|14 pages

Symmetric Designs

chapter |2 pages

Part III: Latin Squares

chapter 2|8 pages


chapter |2 pages

Part IV: Pairwise Balanced Designs

chapter 4|6 pages

Group Divisible Designs

chapter 5|5 pages

PBDs, Frames, and Resolvability

chapter 2|16 pages

Orthogonal Designs

chapter 3|3 pages

D-Optimal Matrices

chapter 4|2 pages

Bhaskar Rao Designs

chapter 7|4 pages

Sequence Correlation Tor Helleseth

chapter 9|2 pages

Optical Orthogonal Codes Tor Helleseth

chapter |2 pages

Part VI: Other Combinatorial Designs

chapter 3|4 pages

Balanced Tournament Designs

chapter 4|2 pages

Bent Functions

chapter 5|6 pages

Block-Transitive Designs

chapter 7|2 pages


chapter 9|4 pages

Costas Arrays

chapter 10|4 pages

Covering Arrays

chapter 11|8 pages


chapter 12|9 pages

Cycle Decompositions

chapter 13|3 pages

13Defining Sets

chapter 17|8 pages

17Difference Matrices

chapter 19|5 pages

19Difference Triangle Sets

chapter 20|4 pages

20Directed Designs

chapter 21|20 pages

Factorial Designs

chapter 23|5 pages

23Generalized Quadrangles

chapter 24|9 pages

24Graph Decompositions

chapter 26|4 pages

26Graphical Designs

chapter 27|2 pages


chapter 28|3 pages

28Hall Triple Systems Lucien Be´ne´teau

chapter 29|5 pages

29Howell Designs

chapter 30|2 pages

Infinite Designs

chapter 33|5 pages

Low Density Parity Check Codes

chapter 34|4 pages

34Magic Squares

chapter 35|7 pages

35Mendelsohn Designs

chapter 36|5 pages

36Nested Designs

chapter 39|3 pages

39Orthogonal Main Effect Plans

chapter 40|7 pages


chapter 41|5 pages

Partial Geometries

chapter 44|4 pages

Permutation Codes and Arrays

chapter 45|2 pages

Permutation Polynomials

chapter 46|2 pages

Pooling Designs

chapter 47|2 pages

47Quasi-3 Designs Gary McGuire

chapter 48|6 pages

48Quasi-Symmetric Designs

chapter 50|7 pages

Room Squares

chapter 53|5 pages

Skolem and Langford Sequences

chapter 54|5 pages

Spherical Designs

chapter 55|7 pages


chapter 57|2 pages

Supersimple Designs

chapter 59|5 pages


chapter 60|5 pages


chapter 61|3 pages

Tura´n Systems

chapter 62|5 pages

Tuscan Squares

chapter 64|5 pages

64Whist Tournaments

chapter |2 pages

Part VII: Related Mathematics

chapter 1|25 pages


chapter 2|27 pages

Finite Geometry

chapter 3|2 pages

Divisible Semiplanes

chapter 4|9 pages

Graphs and Multigraphs

chapter 5|15 pages

Factorizations of Graphs

chapter 11|16 pages

Strongly Regular Graphs

chapter 13|8 pages