Information on Result #1856602
There is no (2, 9)-sequence in base 3, because net from sequence would yield (2, m, 10)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (2, 13, 10)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(313, 10, S3, 3, 11), but
- the linear programming bound for OOAs shows that M ≥ 18 068994 / 11 > 313 [i]
- extracting embedded OOA [i] would yield OOA(313, 10, S3, 3, 11), 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, 9)-sequence in base 3 (for arbitrarily large k) | [i] | Logical Equivalence (for Sequences) | |
2 | No (2, m, 9)-net in base 3 with m > ∞ | [i] | ||
3 | No digital (2, 9)-sequence over F3 (for arbitrarily large k) | [i] | ||
4 | No digital (2, m, 9)-net over F3 with m > ∞ | [i] |