Information on Result #1856301
There is no (3, m, 41)-net in base 9 for arbitrarily large m, because m-reduction would yield (3, 37, 41)-net in base 9, but
- extracting embedded orthogonal array [i] would yield OA(937, 41, S9, 34), but
- the linear programming bound shows that M ≥ 494 520898 410959 817514 303085 999134 242591 / 2275 > 937 [i]
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 (3, 40)-sequence in base 9 | [i] | Net from Sequence | |
| 2 | No (3, 3+k, 41)-net in base 9 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (3, m, 41)-net in base 9 with unbounded m | [i] | ||