Information on Result #524271
There is no (2, 87, 91)-net in base 32, because extracting embedded orthogonal array 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 k and m, k and s, k and t, 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, 88, 91)-net in base 32 | [i] | m-Reduction | |
| 2 | No (2, 89, 91)-net in base 32 | [i] | ||
| 3 | No (2, 90, 91)-net in base 32 | [i] | ||
| 4 | No (2, 91, 91)-net in base 32 | [i] | ||
| 5 | No (2, 92, 91)-net in base 32 | [i] | ||
| 6 | No (2, 93, 91)-net in base 32 | [i] | ||
| 7 | No (2, 94, 91)-net in base 32 | [i] | ||
| 8 | No (2, 95, 91)-net in base 32 | [i] | ||
| 9 | No (2, 96, 91)-net in base 32 | [i] | ||
| 10 | No (2, 97, 91)-net in base 32 | [i] | ||
| 11 | No (2, 98, 91)-net in base 32 | [i] | ||
| 12 | No (2, 99, 91)-net in base 32 | [i] | ||
| 13 | No (2, 100, 91)-net in base 32 | [i] | ||
| 14 | No (2, 101, 91)-net in base 32 | [i] | ||
| 15 | No (2, 102, 91)-net in base 32 | [i] | ||
| 16 | No (2, 103, 91)-net in base 32 | [i] | ||
| 17 | No (2, 104, 91)-net in base 32 | [i] | ||
| 18 | No (2, 105, 91)-net in base 32 | [i] | ||
| 19 | No (2, 106, 91)-net in base 32 | [i] | ||
| 20 | No (2, 107, 91)-net in base 32 | [i] | ||
| 21 | No (2, 108, 91)-net in base 32 | [i] | ||
| 22 | No (2, 109, 91)-net in base 32 | [i] | ||
| 23 | No (2, 110, 91)-net in base 32 | [i] | ||
| 24 | No (2, m, 91)-net in base 32 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |