Information on Result #559948
There is no linear OOA(4158, 252, F4, 2, 115) (dual of [(252, 2), 346, 116]-NRT-code), because 3 step m-reduction would yield linear OA(4155, 252, F4, 112) (dual of [252, 97, 113]-code), but
- residual code [i] would yield OA(443, 139, S4, 28), but
- the linear programming bound shows that M ≥ 1035 121114 338894 134286 782748 220018 948622 504479 948800 000000 / 12 858495 004117 038732 982555 334443 > 443 [i]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(4158, 252, F4, 3, 115) (dual of [(252, 3), 598, 116]-NRT-code) | [i] | Depth Reduction | |