Information on Result #1856309
There is no (11, m, 105)-net in base 9 for arbitrarily large m, because m-reduction would yield (11, 95, 105)-net in base 9, but
- extracting embedded orthogonal array [i] would yield OA(995, 105, S9, 84), but
- the linear programming bound shows that M ≥ 1240 505866 046627 131068 555034 347769 450501 463301 708903 427699 923262 975474 963339 381628 644774 672768 499337 / 265 061875 > 995 [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 (11, 104)-sequence in base 9 | [i] | Net from Sequence | |
| 2 | No (11, 11+k, 105)-net in base 9 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (11, m, 105)-net in base 9 with unbounded m | [i] | ||
| 4 | No digital (11, 11+k, 105)-net over F9 for arbitrarily large k | [i] | ||
| 5 | No digital (11, m, 105)-net over F9 with unbounded m | [i] | ||