Information on Result #556999
There is no linear OOA(3178, 198, F3, 2, 118) (dual of [(198, 2), 218, 119]-NRT-code), because 1 step m-reduction would yield linear OA(3177, 198, F3, 117) (dual of [198, 21, 118]-code), but
- residual code [i] would yield OA(360, 80, S3, 39), but
- the linear programming bound shows that M ≥ 10299 241947 274765 323111 769912 609288 895091 / 233101 383112 > 360 [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(3178, 198, F3, 3, 118) (dual of [(198, 3), 416, 119]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3178, 198, F3, 4, 118) (dual of [(198, 4), 614, 119]-NRT-code) | [i] | ||
| 3 | No linear OOA(3178, 198, F3, 5, 118) (dual of [(198, 5), 812, 119]-NRT-code) | [i] | ||