This book is an account of the combinatorics of projective spaces over a finite field, with
special emphasis on one and two dimensions. With its successor volumes, Finite projective …

This article updates the authors' 1998 survey [134] on the same theme that was written for
the Bose Memorial Conference (Colorado, June 7–11, 1995). That article contained the …

Factorial designs are widely used in many scientific and industrial investigations. The
objective of this book is to provide a rigorous, systematic, and up-to-date treatment of the …

For fractional factorial (FF) designs, Zhang et al.(2008) introduced a new pattern for
assessing regular designs, called aliased effect-number pattern (AENP), and based on the …

In the last few decades, finite projective spaces or, equivalently, Galois geometries have
been studied intensively. Apart from being an interesting and exciting area in combinatorics …

Given a two-level regular fractional factorial design of resolution IV, the method of doubling
produces another design of resolution IV which doubles both the run size and the number of …

Error-correcting codes were introduced to combat errors in communication channels,
storage devices, and other computerized systems. In each such system, the information may …

Infinite families of linear binary codes with covering radius R= 2 and minimum distance d= 3
and d= 4 are given. Using the constructed codes with d= 3, R= 2, families of covering codes …

In this paper, we construct many infinite families of distance-optimal codes with new
parameters, some of which are BCH codes and quasi-cyclic codes. In particular, we report …

Finite Geometries stands out from recent textbooks about the subject of finite geometries by
having a broader scope. The authors thoroughly explain how the subject of finite geometries …