Information on Result #557146
There is no linear OOA(3186, 196, F3, 2, 125) (dual of [(196, 2), 206, 126]-NRT-code), because 2 step m-reduction would yield linear OA(3184, 196, F3, 123) (dual of [196, 12, 124]-code), but
- residual code [i] would yield OA(361, 72, S3, 41), but
- the linear programming bound shows that M ≥ 41997 386805 997720 199850 152210 995911 / 228095 > 361 [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(3186, 196, F3, 3, 125) (dual of [(196, 3), 402, 126]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3186, 196, F3, 4, 125) (dual of [(196, 4), 598, 126]-NRT-code) | [i] | ||
| 3 | No linear OOA(3186, 196, F3, 5, 125) (dual of [(196, 5), 794, 126]-NRT-code) | [i] | ||