Information on Result #548439
There is no linear OA(349, 58, F3, 33) (dual of [58, 9, 34]-code), because residual code would yield linear OA(316, 24, F3, 11) (dual of [24, 8, 12]-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 OA(350, 59, F3, 34) (dual of [59, 9, 35]-code) | [i] | Truncation | |
| 2 | No linear OOA(350, 58, F3, 2, 34) (dual of [(58, 2), 66, 35]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(349, 58, F3, 2, 33) (dual of [(58, 2), 67, 34]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(349, 58, F3, 3, 33) (dual of [(58, 3), 125, 34]-NRT-code) | [i] | ||
| 5 | No linear OOA(349, 58, F3, 4, 33) (dual of [(58, 4), 183, 34]-NRT-code) | [i] | ||
| 6 | No linear OOA(349, 58, F3, 5, 33) (dual of [(58, 5), 241, 34]-NRT-code) | [i] | ||
| 7 | No digital (16, 49, 58)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 8 | No linear OA(3148, 158, F3, 99) (dual of [158, 10, 100]-code) | [i] | Residual Code | |