Information on Result #520324
There is no (37, 79, 84)-net in base 2, because extracting embedded orthogonal array would yield OA(279, 84, S2, 42), but
- adding a parity check bit [i] would yield OA(280, 85, S2, 43), but
- the (dual) Plotkin bound shows that M ≥ 14 507109 835375 550096 474112 / 11 > 280 [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 (37, 80, 84)-net in base 2 | [i] | m-Reduction | |
| 2 | No (37, 81, 84)-net in base 2 | [i] | ||
| 3 | No (37, 82, 84)-net in base 2 | [i] | ||
| 4 | No (37, 83, 84)-net in base 2 | [i] | ||
| 5 | No (37, 84, 84)-net in base 2 | [i] | ||