Information on Result #1857264
There is no (1, 15)-sequence in base 7, because net from sequence would yield (1, m, 16)-net in base 7 for arbitrarily large m, but
- m-reduction [i] would yield (1, 15, 16)-net in base 7, but
- extracting embedded OOA [i] would yield OOA(715, 16, S7, 2, 14), but
- the linear programming bound for OOAs shows that M ≥ 365 562236 265611 / 75 > 715 [i]
- extracting embedded OOA [i] would yield OOA(715, 16, S7, 2, 14), 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, 15)-sequence in base 7 (for arbitrarily large k) | [i] | Logical Equivalence (for Sequences) | |
| 2 | No (1, m, 15)-net in base 7 with m > ∞ | [i] | ||