Information on Result #520512
There is no (55, 115, 121)-net in base 2, because extracting embedded orthogonal array would yield OA(2115, 121, S2, 60), but
- adding a parity check bit [i] would yield OA(2116, 122, S2, 61), but
- the (dual) Plotkin bound shows that M ≥ 2 658455 991569 831745 807614 120560 689152 / 31 > 2116 [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 (55, 116, 121)-net in base 2 | [i] | m-Reduction | |
| 2 | No (55, 117, 121)-net in base 2 | [i] | ||
| 3 | No (55, 118, 121)-net in base 2 | [i] | ||
| 4 | No (55, 119, 121)-net in base 2 | [i] | ||
| 5 | No (55, 120, 121)-net in base 2 | [i] | ||
| 6 | No (55, 121, 121)-net in base 2 | [i] | ||
| 7 | No (55, 122, 121)-net in base 2 | [i] | ||
| 8 | No (55, 123, 121)-net in base 2 | [i] | ||
| 9 | No (55, 124, 121)-net in base 2 | [i] | ||