Information on Result #1856333
There is no (2, m, 91)-net in base 32 for arbitrarily large m, because m-reduction would yield (2, 87, 91)-net in base 32, but
- extracting embedded orthogonal array [i] would yield OA(3287, 91, S32, 85), but
- the linear programming bound shows that M ≥ 3218 248804 644806 290772 103657 191613 826913 486259 137011 802066 676331 137713 410455 220883 164990 453062 699224 855954 368127 744971 436177 620882 948096 / 34443 > 3287 [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 (2, 90)-sequence in base 32 | [i] | Net from Sequence | |
| 2 | No (2, 2+k, 91)-net in base 32 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (2, m, 91)-net in base 32 with unbounded m | [i] | ||
| 4 | No digital (2, 2+k, 91)-net over F32 for arbitrarily large k | [i] | ||
| 5 | No digital (2, m, 91)-net over F32 with unbounded m | [i] | ||