C(29,8,2) = 18

Method of Construction: lex covering

Lower Bound: Handbook of Combinatorial Designs section on coverings

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