Information on Result #520627
There is no (81, 169, 175)-net in base 2, because extracting embedded orthogonal array would yield OA(2169, 175, S2, 88), but
- the (dual) Plotkin bound shows that M ≥ 71835 728478 088540 235547 516897 670742 982128 396352 356352 / 89 > 2169 [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 (81, 170, 175)-net in base 2 | [i] | m-Reduction | |
| 2 | No (81, 171, 175)-net in base 2 | [i] | ||
| 3 | No (81, 172, 175)-net in base 2 | [i] | ||
| 4 | No (81, 173, 175)-net in base 2 | [i] | ||
| 5 | No (81, 174, 175)-net in base 2 | [i] | ||
| 6 | No (81, 175, 175)-net in base 2 | [i] | ||
| 7 | No (81, 176, 175)-net in base 2 | [i] | ||
| 8 | No (81, 177, 175)-net in base 2 | [i] | ||
| 9 | No (81, 178, 175)-net in base 2 | [i] | ||
| 10 | No (81, 179, 175)-net in base 2 | [i] | ||
| 11 | No (81, 180, 175)-net in base 2 | [i] | ||