Synopses & Reviews
This comprehensive, accessible reference contains all the facts 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 block design; orthogonal arrays and latin squares; pairwise balanced designs; association schemes; mappings and sequencings; costas arrays; factorial designs; partial geometries; extensive applications of design theory; experimental design; coding theory; cryptography; and general reference tools used for design theory. Although the text emphasizes basic information on combinatorial design, it includes material at the research frontier, maintaining a balance of topics for those actively involved in research.
Synopsis
From experimental design to cryptography, this comprehensive, easy-to-access reference contains the facts you need on combinatorial designs. It includes constructions of designs, existence results, and properties of designs. The Handbook covers:
-- The three primary classes of designs, including block designs; orthogonal arrays and latin squares; and pairwise balanced designs.
-- Other classes of designs, including association schemes, mappings and sequencings, costas arrays, factorial designs, partial geometries, and much more.
-- Applications of design theory to mathematics (group theory, graph theory, number theory and finite fields, finite geometry, and linear algebra), experimental design, coding theory, cryptography, computer science, tournament scheduling, lottery systems, and more.
-- Reference information for mathematical and computational background -- general reference tools for design theory.
Synopsis
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: