The origins of combinatorial design theory lie within recreational mathematics. With the work
of Fisher and Yates in the 1930s it began to take on the character of a serious academic …

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 …

Orthogonal arrays have played a vital role in improving the quality of products manufactured
throughout the world. This first book on the subject since its introduction more than fifty years …

Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …

Considers a family of codes obtained by weakening the restrictions in the definition of
classical maximum-distance-separable (MDS) codes. This family of codes, which the …

Let A (n, d, w) denote the maximum possible number of codewords in an (n, d, w) constant-
weight binary code. We improve upon the best known upper bounds on A (n, d, w) in …

Praise for the First Edition “This excellent text should prove a useful accoutrement for any
developing mathematics program... it's short, it's sweet, it's beautifully written.”—The …

Since the publication in 1992 of “Designs and their Codes” significant progress has been
made in the general area of codes coming from designs. This article reviews this progress …

The idea of writing a book Topics in Galois Fields originated a long time ago, maybe in
1999, when the Fifth International Conference on Finite Fields and Applications was hosted …

This book offers a systematic presentation of cryptographic and code-theoretic aspects of the
theory of Boolean functions. Both classical and recent results are thoroughly presented …