The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

Algebraic combinatorics is the study of combinatorial objects as an extension of the study of
finite permutation groups, or, in other words, group theory without groups. In the spirit 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 …

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 …

Classification Algorithms for Codes and Designs Page 1 Algorithms and Computation in
Mathematics Volume 15 ฀ Classification Algorithms for Codes and Designs Classification …

Configurations can be studied from a graph-theoretical viewpoint via the so-called Levi
graphs and lie at the heart of graphs, groups, surfaces, and geometries, all of which are very …

This volume contains the proceedings of the Eighth International Conference on Finite
Fields and Applications, held in Melbourne, Australia, July 9-13, 2007. It contains 5 invited …

In this paper we give the results of exhaustive computer searches for sets of points of type
(m, n) in the projective and affine planes of order nine. In particular, as the list of planes of …

We construct by computer all of the hyperovals in the 22 known projective planes of order
16. Our most interesting result is that four of the planes contain no hyperovals, thus providing …

The linear code Cs, t(n, q) of s-spaces and t-spaces in a projective space PG (n, q), q= ph, p
prime, is defined as the vector space spanned over Fp by the rows of the incidence matrix of …