Information on Result #557644
There is no linear OOA(3209, 219, F3, 2, 140) (dual of [(219, 2), 229, 141]-NRT-code), because 2 step m-reduction would yield linear OA(3207, 219, F3, 138) (dual of [219, 12, 139]-code), but
- residual code [i] would yield OA(369, 80, S3, 46), but
- the linear programming bound shows that M ≥ 904 357542 932493 278414 499056 136998 127663 / 977647 > 369 [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(3209, 219, F3, 3, 140) (dual of [(219, 3), 448, 141]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3209, 219, F3, 4, 140) (dual of [(219, 4), 667, 141]-NRT-code) | [i] | ||
| 3 | No linear OOA(3209, 219, F3, 5, 140) (dual of [(219, 5), 886, 141]-NRT-code) | [i] | ||