Table of Contents

Graphs, Designs, and Codes.- Representations and Isomorphism.- Isomorph-Free Exhaustive Generation.- Auxiliary Algorithms.- Classification of Designs.- Classification of Codes.- Classification of Related Structures.- Prescribing Automorphism Groups.- Validity of Computational Results.- Computational Complexity.- Nonexistence of Projective Planes of Order 10.

Reviews

From the reviews:"The authors of this book have been responsible for some quite remarkable combinatorial enumeration results … . They are therefore well-qualified to provide this comprehensive survey of state-of-the-art algorithms for the classification of codes and designs. … Overall the book is a timely and authoritative work, and an extremely valuable reference for any researcher working in the field of combinatorial classification." (Peter B.Gibbons, Zentralblatt MATH, Vol. 1089 (15), 2006)"For any researcher involved with combinatorial algorithms, this book is a must-have. It is absolutely essential for anyone doing enumeration algorithms on t-designs or codes. … This is one of the few useful books on combinatorial design algorithms. … Finally, the book contains (open) research problems sprinkled throughout, which should be useful for researchers … . It would make a good textbook for a senior undergraduate or a graduate course on computing in design and coding theory." (G. H. J. Van Rees and Pak Ching Li, Mathematical Reviews, Issue 2008 a)