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 …

This is the first volume of a two-volume text on design theory. Since the first edition, there
has been extensive development of the theory. In particular, the growing importance of …

Algebraic coding theory has in recent years been increasingly applied to the study of
combinatorial designs. This book gives an account of many of those applications together …

It is impossible to introduce combinatorial designs and linear codes without basic tools in
certain mathematical areas. In this chapter, we give a brief introduction to cyclotomy, finite …

This is the first monograph on codebooks and linear codes from difference sets and almost
difference sets. It aims at providing a survey of constructions of difference sets and almost …

1.1 A balanced incomplete block design (BIBD) is a pair (V, B) where V is a v-set and B is a
collection of bk-subsets of V (blocks) such that each element of V is contained in exactly r …

This is the first exposition of the theory of quasi-symmetric designs, that is, combinatorial
designs with at most two block intersection numbers. The authors aim to bring out the …

Bent functions, or equivalently, Hadamard difference sets in the elementary Abelian group
(GF (2 2m),+), have been employed to construct symmetric and quasi-symmetric designs …

It is shown that quasi-symmetric designs which are derived or residual designs of
nonisomorphic symmetric designs with the symmetric difference property are also …

Various local transformations of combinatorial structures (codes, designs, and related
structures) that leave the basic parameters unaltered are here unified under the principle of …