Information on Result #520948
There is no (122, 252, 258)-net in base 2, because extracting embedded orthogonal array would yield OA(2252, 258, S2, 130), but
- adding a parity check bit [i] would yield OA(2253, 259, S2, 131), but
- the (dual) Plotkin bound shows that M ≥ 578960 446186 580977 117854 925043 439539 266349 923328 202820 197287 920039 565648 199680 / 33 > 2253 [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 (122, 253, 258)-net in base 2 | [i] | m-Reduction | |
| 2 | No (122, 254, 258)-net in base 2 | [i] | ||
| 3 | No (122, 255, 258)-net in base 2 | [i] | ||
| 4 | No (122, 256, 258)-net in base 2 | [i] | ||
| 5 | No (122, 257, 258)-net in base 2 | [i] | ||
| 6 | No (122, 258, 258)-net in base 2 | [i] | ||
| 7 | No (122, 259, 258)-net in base 2 | [i] | ||
| 8 | No (122, 260, 258)-net in base 2 | [i] | ||