Information on Result #548684
There is no linear OA(342, 61, F3, 27) (dual of [61, 19, 28]-code), because residual code 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 OA(343, 62, F3, 28) (dual of [62, 19, 29]-code) | [i] | Truncation | |
| 2 | No linear OOA(343, 61, F3, 2, 28) (dual of [(61, 2), 79, 29]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(342, 61, F3, 2, 27) (dual of [(61, 2), 80, 28]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(342, 61, F3, 3, 27) (dual of [(61, 3), 141, 28]-NRT-code) | [i] | ||
| 5 | No linear OOA(342, 61, F3, 4, 27) (dual of [(61, 4), 202, 28]-NRT-code) | [i] | ||
| 6 | No linear OOA(342, 61, F3, 5, 27) (dual of [(61, 5), 263, 28]-NRT-code) | [i] | ||
| 7 | No digital (15, 42, 61)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |