Handbook of Combinatorial Designs

Continuing in the bestselling, informative tradition of the first edition, this second edition remains the only resource to contain all of the most important results and tables in the area of combinatorial design. The handbook covers the constructions of designs, existence results, properties of designs, and applications of designs. Over 30% longer than the first edition, it contains new chapters on the history of design theory, various codes, bent functions, and numerous designs as well as updated tables, including BIBDs, PBDs, MOLS, and Hadamard matrices. With expanded and updated coverage, the book features new applications in cryptography, computer science, and finance.

Autorentext
Charles J. Colbourn, Jeffrey H. Dinitz

Zusammenfassung
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 EditionAn introductory part that provides a general overview and a historical perspective of the areaNew chapters on the history of design theory, various codes, bent functions, and numerous types of designsFully updated tables, including BIBDs, MOLS, PBDs, and Hadamard matricesNearly 2,200 references in a single bibliographic sectionMeeting 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.

Inhalt
Introduction. Block Designs. Latin Squares. Pairwise Balanced Designs. Hadamard Matrices and Related Designs. Other Combinatorial Designs. Related Mathematics.

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