Information on Result #1856296
There is no (17, m, 137)-net in base 8 for arbitrarily large m, because m-reduction would yield (17, 121, 137)-net in base 8, but
- extracting embedded orthogonal array [i] would yield OA(8121, 137, S8, 104), but
- the linear programming bound shows that M ≥ 13066 856935 963523 721024 625401 270709 435452 350217 785478 549632 311553 515794 037630 134130 713931 717708 202057 690742 978515 268863 524864 / 568 730779 782165 > 8121 [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 (17, 136)-sequence in base 8 | [i] | Net from Sequence | |
| 2 | No (17, 17+k, 137)-net in base 8 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (17, m, 137)-net in base 8 with unbounded m | [i] | ||
| 4 | No digital (17, 17+k, 137)-net over F8 for arbitrarily large k | [i] | ||
| 5 | No digital (17, m, 137)-net over F8 with unbounded m | [i] | ||