Information on Result #557106
There is no linear OOA(3184, 204, F3, 2, 122) (dual of [(204, 2), 224, 123]-NRT-code), because 2 step m-reduction would yield linear OA(3182, 204, F3, 120) (dual of [204, 22, 121]-code), but
- residual code [i] would yield OA(362, 83, S3, 40), but
- the linear programming bound shows that M ≥ 463 942350 761962 378112 632058 617109 511207 / 1197 196966 > 362 [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(3184, 204, F3, 3, 122) (dual of [(204, 3), 428, 123]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3184, 204, F3, 4, 122) (dual of [(204, 4), 632, 123]-NRT-code) | [i] | ||
| 3 | No linear OOA(3184, 204, F3, 5, 122) (dual of [(204, 5), 836, 123]-NRT-code) | [i] | ||