lower bound = 27

27 ≤ CC(12,5,3) ≤ 29

Method of Construction: nurmela-ostergard simulated annealing covering design

Lower Bound: Schonheim

  1  3  4  5  7
  1  2  4  6  8
  1  2  5  7  8
  1  3  6  7  9
  2  4  5  8 10
  1  3  5  9 10
  2  6  8  9 10
  4  7  8  9 10
  3  6  7  8 11
  2  3  4  9 11
  4  5  6  9 11
  2  5  7  9 11
  1  3  8  9 11
  1  2  6 10 11
  1  4  7 10 11
  3  5  8 10 11
  2  3  5  6 12
  2  4  6  7 12
  1  2  3  9 12
  1  4  5  9 12
  5  6  8  9 12
  3  4  6 10 12
  2  3  7 10 12
  5  6  7 10 12
  1  7  8 10 12
  1  5  6 11 12
  2  3  8 11 12
  3  4  8 11 12
  7  9 10 11 12