C(32,13,2) = 9

Method of Construction: mills, ars combinatoria, 8 (1979) pg. 247

Lower Bound: Bounds for fixed number of blocks

  1  2  3  4  7  8  9 10 11 12 13 14 15
  5  6  7  8  9 10 11 12 16 17 18 31 32
  1  2  3  4  5  6 13 14 15 16 17 18 31
  1  2  3  4  5  6 19 20 21 22 23 24 32
  1  2  3  4  5  6 25 26 27 28 29 30 32
 13 14 15 16 17 18 19 20 21 25 26 27 32
 13 14 15 16 17 18 22 23 24 28 29 30 32
  7  8  9 10 11 12 19 20 21 28 29 30 31
  7  8  9 10 11 12 22 23 24 25 26 27 31