Information on Result #557051
There is no linear OOA(3181, 217, F3, 2, 119) (dual of [(217, 2), 253, 120]-NRT-code), because 2 step m-reduction would yield linear OA(3179, 217, F3, 117) (dual of [217, 38, 118]-code), but
- residual code [i] would yield OA(362, 99, S3, 39), but
- the linear programming bound shows that M ≥ 8341 316354 832968 167115 756462 681271 298651 307150 960469 759639 / 19004 191492 894766 602246 400000 > 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(3181, 217, F3, 3, 119) (dual of [(217, 3), 470, 120]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3181, 217, F3, 4, 119) (dual of [(217, 4), 687, 120]-NRT-code) | [i] | ||
| 3 | No linear OOA(3181, 217, F3, 5, 119) (dual of [(217, 5), 904, 120]-NRT-code) | [i] | ||