Partitions in finite geometry and related constant composition codes
Let \(C\) be a \(k\)-ary code of length \(n\) and minimum distance \(d\). If every codeword has \(n_i\) occurences of the \(i\)-th symbol then it has constant weight composition \([n_1,n_2,\dots,n_k]\) and the code is called a constant composition code. The authors give new constructions of constant composition codes from partitions in finite projective spaces. They construct infinite classes of codes from regular spreads of \(PG(2n-1,q)\) and Baer subgeometry partitions of \(PG(2n,q^2)\) and bound the minimum distance from the intersection properties of the partition. Additionally, they produce results about the intersections of regular spreads and Baer subgeometry partitions.
Baer subgeometry partitions, constant composition codes
scientific article; zbMATH DE number 5788609
scientific article