Information on Result #557643
There is no linear OOA(3209, 224, F3, 2, 139) (dual of [(224, 2), 239, 140]-NRT-code), because 1 step m-reduction would yield linear OA(3208, 224, F3, 138) (dual of [224, 16, 139]-code), but
- residual code [i] would yield OA(370, 85, S3, 46), but
- the linear programming bound shows that M ≥ 640 504927 462165 667703 027244 227660 956271 / 192089 > 370 [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(3209, 224, F3, 3, 139) (dual of [(224, 3), 463, 140]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3209, 224, F3, 4, 139) (dual of [(224, 4), 687, 140]-NRT-code) | [i] | ||
| 3 | No linear OOA(3209, 224, F3, 5, 139) (dual of [(224, 5), 911, 140]-NRT-code) | [i] | ||