Information on Result #520672
There is no (92, 190, 197)-net in base 2, because extracting embedded orthogonal array would yield OA(2190, 197, S2, 98), but
- adding a parity check bit [i] would yield OA(2191, 198, S2, 99), but
- the (dual) Plotkin bound shows that M ≥ 100433 627766 186892 221372 630771 322662 657637 687111 424552 206336 / 25 > 2191 [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 (92, 191, 197)-net in base 2 | [i] | m-Reduction | |
| 2 | No (92, 192, 197)-net in base 2 | [i] | ||
| 3 | No (92, 193, 197)-net in base 2 | [i] | ||
| 4 | No (92, 194, 197)-net in base 2 | [i] | ||
| 5 | No (92, 195, 197)-net in base 2 | [i] | ||
| 6 | No (92, 196, 197)-net in base 2 | [i] | ||
| 7 | No (92, 197, 197)-net in base 2 | [i] | ||
| 8 | No (92, 198, 197)-net in base 2 | [i] | ||
| 9 | No (92, 199, 197)-net in base 2 | [i] | ||
| 10 | No (92, 200, 197)-net in base 2 | [i] | ||
| 11 | No (92, 201, 197)-net in base 2 | [i] | ||
| 12 | No (92, 202, 197)-net in base 2 | [i] | ||
| 13 | No (92, 203, 197)-net in base 2 | [i] | ||
| 14 | No (92, 204, 197)-net in base 2 | [i] | ||
| 15 | No (92, 205, 197)-net in base 2 | [i] | ||