C(15,10,3) = 7

Method of Construction: dynamic programming covering

Lower Bound: Handbook of Combinatorial Designs section on coverings

  1  2  3  4  5  6  7  8  9 10
  1  2  3  4  5  6  7  8 11 12
  1  2  3  4  5  6  7  8 13 14
  1  2  3  4  5  6  7  8 12 15
  1  2  3  9 10 11 12 13 14 15
  4  5  6  9 10 11 12 13 14 15
  2  7  8  9 10 11 12 13 14 15