New Symmetric (61,16,4) Designs Obtained from Codes

On symmetric \(2\)-\((70,24,8)\) designs with an automorphism of order \(6\)

“…In the previous section, we presented a construction of new symmetric 2-(70, 24, 8) designs using orbit matrices for presumed action of an automorphism of order six. However, some of the new designs can also be obtained by applying a different method, namely by analyzing the codes of known designs [6,13], which gives an interesting insight on how these designs are related.…”