Construction of a 3-Dimensional MDS code

Abstract

In this paper, we describe a procedure for constructing $q$--ary $[N,3,N-2]$--MDS codes, of length $N\le q+1$ (for $q$ odd) or $N\le q+2$ (for $q$ even), using a set of non--degenerate Hermitian forms in $PG(2,q^2)$.

8 Pages Minor typesetting changes; dedication