Information on Result #1870772
There is no (5, 5+k, 57)-net in base 9 for arbitrarily large k, because logical equivalence would yield (5, m, 57)-net in base 9 for arbitrarily large m, but
- m-reduction [i] would yield (5, 50, 57)-net in base 9, but
- extracting embedded orthogonal array [i] would yield OA(950, 57, S9, 45), but
- the linear programming bound shows that M ≥ 298105 180919 330726 109440 883140 160422 177625 734983 340421 / 537625 > 950 [i]
- extracting embedded orthogonal array [i] would yield OA(950, 57, S9, 45), but
Mode: Bound.
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.