An infinite family of 3-designs from Preparata codes over \(\mathbb{Z}_4\)
The authors use the support of the vectors with Hamming weight 5 and minimal Lee weight in the \(\mathbb{Z}\)-linear Preparata code to construct a 3-\((2^m,5,10)\)-design for all \(m\geq 3\).
scientific article; zbMATH DE number 1230694