Information on Result #1864030
There is no (5, 17)-sequence in base 3 (for arbitrarily large k), because logical equivalence would yield (5, 17)-sequence in base 3, but
- net from sequence [i] would yield (5, m, 18)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (5, 30, 18)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(330, 18, S3, 2, 25), but
- the linear programming bound for OOAs shows that M ≥ 105622 150764 554937 / 455 > 330 [i]
- extracting embedded OOA [i] would yield OOA(330, 18, S3, 2, 25), but
- m-reduction [i] would yield (5, 30, 18)-net in base 3, 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.