Information on Result #558725
There is no linear OOA(3242, 242, F3, 2, 165) (dual of [(242, 2), 242, 166]-NRT-code), because 9 step m-reduction would yield linear OA(3233, 242, F3, 156) (dual of [242, 9, 157]-code), but
- residual code [i] would yield OA(377, 85, S3, 52), but
- the linear programming bound shows that M ≥ 626561 627887 412368 936876 728064 858798 530639 / 100223 > 377 [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(3242, 242, F3, 3, 165) (dual of [(242, 3), 484, 166]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3242, 242, F3, 4, 165) (dual of [(242, 4), 726, 166]-NRT-code) | [i] | ||
| 3 | No linear OOA(3242, 242, F3, 5, 165) (dual of [(242, 5), 968, 166]-NRT-code) | [i] | ||