Information on Result #1857416
There is no (2, 23)-sequence in base 8, because net from sequence would yield (2, m, 24)-net in base 8 for arbitrarily large m, but
- m-reduction [i] would yield (2, 27, 24)-net in base 8, but
- extracting embedded OOA [i] would yield OOA(827, 24, S8, 2, 25), but
- the linear programming bound for OOAs shows that M ≥ 1329 818401 576092 092176 793600 / 513 > 827 [i]
- extracting embedded OOA [i] would yield OOA(827, 24, S8, 2, 25), 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 (2, 23)-sequence in base 8 (for arbitrarily large k) | [i] | Logical Equivalence (for Sequences) | |
| 2 | No (2, m, 23)-net in base 8 with m > ∞ | [i] | ||
| 3 | No digital (2, 23)-sequence over F8 (for arbitrarily large k) | [i] | ||
| 4 | No digital (2, m, 23)-net over F8 with m > ∞ | [i] | ||