16 ≤ C(27,8,2) ≤ 17

Method of Construction: lex covering

Lower Bound: Horsley, Theorem 14a, r=4, d=2

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