Information on Result #1856303
There is no (5, m, 57)-net in base 9 for arbitrarily large m, because m-reduction would yield (5, 50, 57)-net in base 9, but
- extracting embedded orthogonal array [i] would yield OA(950, 57, S9, 45), but
- the linear programming bound shows that M ≥ 298105 180919 330726 109440 883140 160422 177625 734983 340421 / 537625 > 950 [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 (5, 56)-sequence in base 9 | [i] | Net from Sequence | |
| 2 | No (5, 5+k, 57)-net in base 9 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (5, m, 57)-net in base 9 with unbounded m | [i] | ||