lower bound = 29

29 ≤ CC(29,6,2) ≤ 30

Method of Construction: covering found by john rawson

Lower Bound: Schonheim

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