Information on Result #1857121
There is no (9, 48)-sequence in base 5, because net from sequence would yield (9, m, 49)-net in base 5 for arbitrarily large m, but
- m-reduction [i] would yield (9, 95, 49)-net in base 5, but
- extracting embedded OOA [i] would yield OOA(595, 49, S5, 2, 86), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 239 813715 187187 588845 165483 845967 013820 654756 273142 993450 164794 921875 / 87 > 595 [i]
- extracting embedded OOA [i] would yield OOA(595, 49, S5, 2, 86), 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 (9, 48)-sequence in base 5 (for arbitrarily large k) | [i] | Logical Equivalence (for Sequences) | |
| 2 | No (9, m, 48)-net in base 5 with m > ∞ | [i] | ||
| 3 | No digital (9, 48)-sequence over F5 (for arbitrarily large k) | [i] | ||
| 4 | No digital (9, m, 48)-net over F5 with m > ∞ | [i] | ||