Information on Result #1863509
There is no (5, m, 10)-net in base 2 with m > ∞, because logical equivalence would yield (5, 10)-sequence in base 2, but
- net from sequence [i] would yield (5, m, 11)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (5, 23, 11)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(223, 11, S2, 3, 18), but
- the linear programming bound for OOAs shows that M ≥ 1644 167168 / 183 > 223 [i]
- extracting embedded OOA [i] would yield OOA(223, 11, S2, 3, 18), but
- m-reduction [i] would yield (5, 23, 11)-net in base 2, but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.