Linear codes over finite fields and finite projective geometries

Abstract

The aim of this paper is to survey relationships between linear block codes over finite fields and finite projective geometries. Each of these two topics is interesting by itself and has been subject to substantial research. In the last decade, a lot of progress has been made in both areas. Yet many challenging problems remain unsolved. Our goal is to state some of the basic results, as well as the recent advances in both areas in order to stimulate further research.