Information on Result #1856321
There is no (6, m, 107)-net in base 16 for arbitrarily large m, because m-reduction would yield (6, 96, 107)-net in base 16, but
- extracting embedded orthogonal array [i] would yield OA(1696, 107, S16, 90), but
- the linear programming bound shows that M ≥ 632381 165715 575607 270607 577961 002582 507033 932404 234102 073968 038308 365606 364351 282586 241545 781633 648349 739341 287044 099254 255616 / 15885 182313 > 1696 [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 (6, 106)-sequence in base 16 | [i] | Net from Sequence | |
| 2 | No (6, 6+k, 107)-net in base 16 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (6, m, 107)-net in base 16 with unbounded m | [i] | ||
| 4 | No digital (6, 6+k, 107)-net over F16 for arbitrarily large k | [i] | ||
| 5 | No digital (6, m, 107)-net over F16 with unbounded m | [i] | ||