Information on Result #1856312
There is no (14, m, 128)-net in base 9 for arbitrarily large m, because m-reduction would yield (14, 115, 128)-net in base 9, but
- extracting embedded orthogonal array [i] would yield OA(9115, 128, S9, 101), but
- the linear programming bound shows that M ≥ 443 166910 356198 778018 116730 424202 752086 605368 053990 969284 924273 837502 116929 265381 334877 312358 520249 430979 777899 498996 052429 / 7 631616 168397 > 9115 [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 (14, 127)-sequence in base 9 | [i] | Net from Sequence | |
| 2 | No (14, 14+k, 128)-net in base 9 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (14, m, 128)-net in base 9 with unbounded m | [i] | ||
| 4 | No digital (14, 14+k, 128)-net over F9 for arbitrarily large k | [i] | ||
| 5 | No digital (14, m, 128)-net over F9 with unbounded m | [i] | ||