Information on Result #548667
There is no linear OA(315, 33, F3, 9) (dual of [33, 18, 10]-code), because “LP†bound on codes from Brouwer’s database
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(316, 34, F3, 10) (dual of [34, 18, 11]-code) | [i] | Truncation | |
| 2 | No linear OA(317, 35, F3, 11) (dual of [35, 18, 12]-code) | [i] | ||
| 3 | No linear OOA(316, 33, F3, 2, 10) (dual of [(33, 2), 50, 11]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(317, 33, F3, 2, 11) (dual of [(33, 2), 49, 12]-NRT-code) | [i] | ||
| 5 | No linear OOA(315, 33, F3, 2, 9) (dual of [(33, 2), 51, 10]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(315, 33, F3, 3, 9) (dual of [(33, 3), 84, 10]-NRT-code) | [i] | ||
| 7 | No linear OOA(315, 33, F3, 4, 9) (dual of [(33, 4), 117, 10]-NRT-code) | [i] | ||
| 8 | No linear OOA(315, 33, F3, 5, 9) (dual of [(33, 5), 150, 10]-NRT-code) | [i] | ||
| 9 | No digital (6, 15, 33)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 10 | No linear OA(342, 61, F3, 27) (dual of [61, 19, 28]-code) | [i] | Residual Code | |
| 11 | No linear OA(316, 67, F3, 9) (dual of [67, 51, 10]-code) | [i] | Construction Y1 (Bound) | |