TY  - BOOK
AU  - Stinson, Douglas R.
TI  - Combinatorial designs: constructions and analysis
SN  - 9781493991082
U1  - 511.6 
PY  - 2004///
CY  - New York
PB  - Springer-Verlag
KW  - Combinatorial designs and configurations
KW  - Block design
KW  - Combinatorial analysis
KW  - Computational complexities
N1  - Table of contents

1. Introduction to Balanced Incomplete Block Designs
2. Symmetric BIBDs
3. Difference Sets and Automorphisms
4. Hadamard Matrices and Designs
5. Resolvable BIBDs
6. Latin Squares
7. Pairwise Balanced Designs I
8. Pairwise Balanced Designs II
9. t-Designs and t-wise Balanced Designs
10. Orthogonal Arrays and Codes
11. Applications of Combinatorial Designs
A. Small Symmetric BIBDs and Abelian Difference Sets
B. Finite Fields


N2  - Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.

https://www.springer.com/in/book/9780387954875
ER  -