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This book is a comprehensive treatment of the links between designs, graphs, and codes. It covers finite projective planes, block designs, difference sets, strongly regular graphs, and their applications in coding theory. The author provides a rigorous mathematical exposition suitable for advanced students and researchers.
The book investigates the intricate relationships between abstract mathematical designs, graphical representations, and coding theory. It explores how concepts from combinatorics and graph theory can be applied to construct and analyze various types of designs, such as block designs and difference sets, and how these designs, in turn, can inform the development of error-correcting codes. The work bridges theoretical mathematics with practical applications in information theory and computer science.
The book is recognized as a foundational text in the area where combinatorics, graph theory, and coding theory intersect. Its strength lies in its rigorous mathematical treatment and its comprehensive coverage of the links between these fields. The work is likely to be appreciated by advanced students and researchers seeking a deep understanding of design theory and its applications in coding. The detailed exposition and numerous examples suggest it serves as a valuable reference for theoretical work in these areas.
Page Count:
240
Publication Date:
1991-01-01
ISBN-10:
0521413257
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