Information on Result #520940
There is no (121, 249, 256)-net in base 2, because extracting embedded orthogonal array would yield OA(2249, 256, S2, 128), but
- adding a parity check bit [i] would yield OA(2250, 257, S2, 129), but
- the (dual) Plotkin bound shows that M ≥ 173688 133855 974293 135356 477513 031861 779904 976998 460846 059186 376011 869694 459904 / 65 > 2250 [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 (121, 250, 256)-net in base 2 | [i] | m-Reduction | |
| 2 | No (121, 251, 256)-net in base 2 | [i] | ||
| 3 | No (121, 252, 256)-net in base 2 | [i] | ||
| 4 | No (121, 253, 256)-net in base 2 | [i] | ||
| 5 | No (121, 254, 256)-net in base 2 | [i] | ||
| 6 | No (121, 255, 256)-net in base 2 | [i] | ||
| 7 | No (121, 256, 256)-net in base 2 | [i] | ||
| 8 | No (121, 257, 256)-net in base 2 | [i] | ||
| 9 | No (121, 258, 256)-net in base 2 | [i] | ||
| 10 | No (121, 259, 256)-net in base 2 | [i] | ||
| 11 | No (121, 260, 256)-net in base 2 | [i] | ||