Information on Result #1857415
There is no (1, 17)-sequence in base 8, because net from sequence 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 m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (1, 17)-sequence in base 8 (for arbitrarily large k) | [i] | Logical Equivalence (for Sequences) | |
| 2 | No (1, m, 17)-net in base 8 with m > ∞ | [i] | ||