Information on Result #520678
There is no (93, 193, 199)-net in base 2, because extracting embedded orthogonal array would yield OA(2193, 199, S2, 100), but
- adding a parity check bit [i] would yield OA(2194, 200, S2, 101), but
- the (dual) Plotkin bound shows that M ≥ 1 606938 044258 990275 541962 092341 162602 522202 993782 792835 301376 / 51 > 2194 [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 (93, 194, 199)-net in base 2 | [i] | m-Reduction | |
| 2 | No (93, 195, 199)-net in base 2 | [i] | ||
| 3 | No (93, 196, 199)-net in base 2 | [i] | ||
| 4 | No (93, 197, 199)-net in base 2 | [i] | ||
| 5 | No (93, 198, 199)-net in base 2 | [i] | ||
| 6 | No (93, 199, 199)-net in base 2 | [i] | ||
| 7 | No (93, 200, 199)-net in base 2 | [i] | ||
| 8 | No (93, 201, 199)-net in base 2 | [i] | ||
| 9 | No (93, 202, 199)-net in base 2 | [i] | ||
| 10 | No (93, 203, 199)-net in base 2 | [i] | ||
| 11 | No (93, 204, 199)-net in base 2 | [i] | ||
| 12 | No (93, 205, 199)-net in base 2 | [i] | ||
| 13 | No (93, 206, 199)-net in base 2 | [i] | ||
| 14 | No (93, 207, 199)-net in base 2 | [i] | ||
| 15 | No (93, 208, 199)-net in base 2 | [i] | ||