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Designs and Their Codes

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Description: E. F. Assmus, Jr and J. D. Key. Table of contents.
The aim of this book is to study applications of algebraic coding theory to the analysis and classification of designs. Designs are usually classified by their parameter sets, by their inclusion in infinite families, or according to the type of automorphism group they admit --- or in other ways related to their geometric properties. Here we have tried to confront the following questions. To what extent can algebraic coding theory address classification questions concerning designs? Can it assist in their construction? Does it provide insight into the structure and nature of classes of designs? We have tried to outline ways in which these questions have been answered and to point to areas where coding theory can make a valuable contribution to design theory.
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