Information on Result #555284
There is no linear OOA(314, 19, F3, 2, 10) (dual of [(19, 2), 24, 11]-NRT-code), because 1 step m-reduction would yield linear OA(313, 19, F3, 9) (dual of [19, 6, 10]-code), but
- construction Y1 [i] would yield
- linear OA(312, 15, F3, 9) (dual of [15, 3, 10]-code), but
- OA(36, 19, S3, 4), but
- the linear programming bound shows that M ≥ 51975 / 67 > 36 [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(314, 19, F3, 3, 10) (dual of [(19, 3), 43, 11]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(314, 19, F3, 4, 10) (dual of [(19, 4), 62, 11]-NRT-code) | [i] | ||
| 3 | No linear OOA(314, 19, F3, 5, 10) (dual of [(19, 5), 81, 11]-NRT-code) | [i] | ||