C(27,13,3) = 15

Method of Construction: simple construction: induced on c(28,14,4) covering

Lower Bound: Schonheim

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