Information on Result #1869815
There is no (2, m, 16)-net in base 5 with unbounded m, because logical equivalence would yield (2, m, 16)-net in base 5 for arbitrarily large m, but
- m-reduction [i] would yield (2, 19, 16)-net in base 5, but
- extracting embedded OOA [i] would yield OOA(519, 16, S5, 2, 17), but
- the linear programming bound for OOAs shows that M ≥ 3124 237060 546875 / 149 > 519 [i]
- extracting embedded OOA [i] would yield OOA(519, 16, S5, 2, 17), but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.