Information on Result #1871068
There is no (2, 2+k, 49)-net in base 16 for arbitrarily large k, because logical equivalence would yield (2, m, 49)-net in base 16 for arbitrarily large m, but
- m-reduction [i] would yield (2, 45, 49)-net in base 16, but
- extracting embedded orthogonal array [i] would yield OA(1645, 49, S16, 43), but
- the linear programming bound shows that M ≥ 79 689768 125026 220634 634045 411816 077548 174434 353547 313152 / 47 > 1645 [i]
- extracting embedded orthogonal array [i] would yield OA(1645, 49, S16, 43), 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.