C(8,5,3) <=8

Method of construction: cyclic covering found by search program

 1  2  3  4  6
 2  3  4  5  7
 3  4  5  6  8
 1  4  5  6  7
 2  5  6  7  8
 1  3  6  7  8
 1  2  4  7  8
 1  2  3  5  8