lower bound = 19

C(19,5,2) = 19

Method of Construction: cyclic covering found by a search program

Lower Bound: Schonheim

  2  3  4  8 11
  3  4  5  9 12
  4  5  6 10 13
  5  6  7 11 14
  6  7  8 12 15
  7  8  9 13 16
  8  9 10 14 17
  9 10 11 15 18
 10 11 12 16 19
  1 11 12 13 17
  2 12 13 14 18
  3 13 14 15 19
  1  4 14 15 16
  2  5 15 16 17
  3  6 16 17 18
  4  7 17 18 19
  1  5  8 18 19
  1  2  6  9 19
  1  2  3  7 10