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Among the simplest combinatorial designs, triple systems are a
natural generalization of graphs and have connections with
geometry, algebra, group theory, finite fields, and cyclotomy.
Applications of triple systems are found in coding theory,
cryptography, computer science, and statistics. In many cases,
triple systems provide the prototype for deep results in
combinatorial design theory, and a number of important results were
first understood in the context of triple systems and then
generalized. This book attempts to survey current knowledge on the
subject, to gather together common themes, and to provide an
accurate portrait of the huge variety of problems and results. It
includes representative samples of the major styles of proof
technique and a comprehensive bibliography.
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