BCH codes and Designs

Kageyama et. al. (1997, 1999), have shown that the incidence matrices of balanced incomplete block designs or 2 - associate partially balanced incomplete block designs or (r, λ)-designs can be used to construct error correcting codes. In this paper, we will construct some symmetric balanced incomplete block (BIB) designs, group divisible (GD) designs and (r, λ)-designs from BCH codes.