The existence of cyclic (v,4,1)-designs

Menglong Zhang, Tao Feng, Xiaomiao Wang

Even though Peltesohn proved that a cyclic (v,3,1)-design exists if and only if $v\equiv 1,3(\mathrm{mod}6)$ as early as 1939, the problem of determining the spectrum of cyclic (v,k,1)-de…