C(16,12,5) = 12

Method of Construction: simple construction: multiple of smaller covering

Lower Bound: Schonheim

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