lower bound = 11

C(12,7,3) = 11

Method of Construction: lex covering

Lower Bound: Schonheim

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