Handbook of Combinatorial Designs

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Abelian Group
advanced statistical modeling
Affine Plane
array
automorphism
Automorphism Group
Base Blocks
BIBD
Category=PBCD
coding theory techniques
combinatorial design constructions
Combinatorial Designs
design theory applications
discrete mathematics reference
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
experimental design methods
Gcd
graph
group
Group Divisible Designs
Hadamard Matrices
Hadamard Matrix
latin
Latin Squares
mathematical combinatorics
Mod 12
Odd Prime Power
orthogonal
Orthogonal Array
Orthogonal Array OA
Orthogonal Latin Square
Pairwise Balanced Designs
PBD
Permutation Polynomials
Prime Power
regular
Room Square
square
Steiner System
Steiner Triple System
strongly
T1
triple
Triple Systems

Product details

  • ISBN 9781584885061
  • Weight: 2040g
  • Dimensions: 178 x 254mm
  • Publication Date: 02 Nov 2006
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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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 results.

Over 30% longer than the first edition, the book builds upon the groundwork of its predecessor while retaining the original contributors' expertise. The first part contains a brief introduction and history of the subject. The following parts focus on four main classes of combinatorial designs: balanced incomplete block designs, orthogonal arrays and Latin squares, pairwise balanced designs, and Hadamard and orthogonal designs. Closely connected to the preceding sections, the next part surveys 65 additional classes of designs, such as balanced ternary, factorial, graphical, Howell, quasi-symmetric, and spherical. The final part presents mathematical and computational background related to design theory.

New to the Second Edition

  • An introductory part that provides a general overview and a historical perspective of the area
  • New chapters on the history of design theory, various codes, bent functions, and numerous types of designs
  • Fully updated tables, including BIBDs, MOLS, PBDs, and Hadamard matrices
  • Nearly 2,200 references in a single bibliographic section

    Meeting the need for up-to-date and accessible tabular and reference information, this handbook provides the tools to understand combinatorial design theory and applications that span the entire discipline.
  • The author maintains a website with more information.

    Charles J. Colbourn, Jeffrey H. Dinitz