C(12,8,5) = 26

Method of Construction: constructed from a turan (n,7,4) system

Lower Bound: Schonheim

  1  2  3  4  7  8 11 12
  1  2  3  4  5  6  9 10
  1  3  4  8  9 10 11 12
  1  3  4  7  9 10 11 12
  1  2  3  7  8  9 10 12
  1  2  3  7  8  9 10 11
  2  3  4  6  9 10 11 12
  2  3  4  5  9 10 11 12
  1  2  4  5  6 10 11 12
  1  2  4  5  6  9 11 12
  1  3  4  5  6  8 11 12
  1  3  4  5  6  7 11 12
  1  2  3  5  6  7  8 12
  1  2  3  5  6  7  8 11
  2  3  4  6  7  8  9 10
  2  3  4  5  7  8  9 10
  1  2  4  5  6  7  8 10
  1  2  4  5  6  7  8  9
  2  4  6  7  8 10 11 12
  2  4  6  7  8  9 11 12
  2  4  5  7  8 10 11 12
  2  4  5  7  8  9 11 12
  1  3  5  6  8  9 10 12
  1  3  5  6  8  9 10 11
  1  3  5  6  7  9 10 12
  1  3  5  6  7  9 10 11