Information on Result #548685
There is no linear OA(346, 65, F3, 30) (dual of [65, 19, 31]-code), because residual code would yield linear OA(316, 34, F3, 10) (dual of [34, 18, 11]-code), but
- 1 times truncation [i] would yield linear OA(315, 33, F3, 9) (dual of [33, 18, 10]-code), but
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(346, 65, F3, 2, 30) (dual of [(65, 2), 84, 31]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(346, 65, F3, 3, 30) (dual of [(65, 3), 149, 31]-NRT-code) | [i] | ||
| 3 | No linear OOA(346, 65, F3, 4, 30) (dual of [(65, 4), 214, 31]-NRT-code) | [i] | ||
| 4 | No linear OOA(346, 65, F3, 5, 30) (dual of [(65, 5), 279, 31]-NRT-code) | [i] | ||
| 5 | No digital (16, 46, 65)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |