Information on Result #1870416
There is no (1, 1+k, 18)-net in base 8 for arbitrarily large k, because logical equivalence would yield (1, m, 18)-net in base 8 for arbitrarily large m, but
- m-reduction [i] would yield (1, 17, 18)-net in base 8, but
- extracting embedded OOA [i] would yield OOA(817, 18, S8, 2, 16), but
- the linear programming bound for OOAs shows that M ≥ 666532 744850 833408 / 289 > 817 [i]
- extracting embedded OOA [i] would yield OOA(817, 18, S8, 2, 16), 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.