Information on Result #1856293
There is no (14, m, 116)-net in base 8 for arbitrarily large m, because m-reduction would yield (14, 105, 116)-net in base 8, but
- extracting embedded orthogonal array [i] would yield OA(8105, 116, S8, 91), but
- the linear programming bound shows that M ≥ 67 590695 303585 232363 449610 385167 125134 814310 899640 912361 983716 500606 168825 384014 701443 407135 513537 150976 / 996 991281 > 8105 [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, 115)-sequence in base 8 | [i] | Net from Sequence | |
| 2 | No (14, 14+k, 116)-net in base 8 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (14, m, 116)-net in base 8 with unbounded m | [i] | ||
| 4 | No digital (14, 14+k, 116)-net over F8 for arbitrarily large k | [i] | ||
| 5 | No digital (14, m, 116)-net over F8 with unbounded m | [i] | ||