Information on Result #558187
There is no linear OOA(3227, 237, F3, 2, 152) (dual of [(237, 2), 247, 153]-NRT-code), because 2 step m-reduction would yield linear OA(3225, 237, F3, 150) (dual of [237, 12, 151]-code), but
- residual code [i] would yield OA(375, 86, S3, 50), but
- the linear programming bound shows that M ≥ 14 616371 714296 425318 957520 407678 625149 870087 / 21 437119 > 375 [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(3227, 237, F3, 3, 152) (dual of [(237, 3), 484, 153]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3227, 237, F3, 4, 152) (dual of [(237, 4), 721, 153]-NRT-code) | [i] | ||
| 3 | No linear OOA(3227, 237, F3, 5, 152) (dual of [(237, 5), 958, 153]-NRT-code) | [i] | ||