lower bound = 10

C(10,6,3) = 10

Method of Construction: cyclic covering found by search program

Lower Bound: Handbook of Combinatorial Designs section on coverings

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