lower bound = 27

C(27,6,2) = 27

Method of Construction: cyclic covering found by search program

Lower Bound: Schonheim

  1  2  3  6 14 23
  2  3  4  7 15 24
  3  4  5  8 16 25
  4  5  6  9 17 26
  5  6  7 10 18 27
  1  6  7  8 11 19
  2  7  8  9 12 20
  3  8  9 10 13 21
  4  9 10 11 14 22
  5 10 11 12 15 23
  6 11 12 13 16 24
  7 12 13 14 17 25
  8 13 14 15 18 26
  9 14 15 16 19 27
  1 10 15 16 17 20
  2 11 16 17 18 21
  3 12 17 18 19 22
  4 13 18 19 20 23
  5 14 19 20 21 24
  6 15 20 21 22 25
  7 16 21 22 23 26
  8 17 22 23 24 27
  1  9 18 23 24 25
  2 10 19 24 25 26
  3 11 20 25 26 27
  1  4 12 21 26 27
  1  2  5 13 22 27