Information on Result #1856295
There is no (16, m, 130)-net in base 8 for arbitrarily large m, because m-reduction would yield (16, 114, 130)-net in base 8, but
- extracting embedded orthogonal array [i] would yield OA(8114, 130, S8, 98), but
- the linear programming bound shows that M ≥ 35521 613223 977817 808600 584786 921883 743646 382533 111114 232182 834553 852288 928742 958552 390470 329316 634829 110683 210776 313856 / 3847 120524 212625 > 8114 [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 (16, 129)-sequence in base 8 | [i] | Net from Sequence | |
| 2 | No (16, 16+k, 130)-net in base 8 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (16, m, 130)-net in base 8 with unbounded m | [i] | ||
| 4 | No digital (16, 16+k, 130)-net over F8 for arbitrarily large k | [i] | ||
| 5 | No digital (16, m, 130)-net over F8 with unbounded m | [i] | ||