Information on Result #524307
There is no linear OA(57, 12, F5, 6) (dual of [12, 5, 7]-code), because a result by Dodunekov and Landjev
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(58, 12, F5, 2, 7) (dual of [(12, 2), 16, 8]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(510, 12, F5, 2, 9) (dual of [(12, 2), 14, 10]-NRT-code) | [i] | ||
| 3 | No linear OOA(512, 12, F5, 2, 11) (dual of [(12, 2), 12, 12]-NRT-code) | [i] | ||
| 4 | No linear OOA(57, 12, F5, 2, 6) (dual of [(12, 2), 17, 7]-NRT-code) | [i] | Depth Reduction | |
| 5 | No linear OOA(57, 12, F5, 3, 6) (dual of [(12, 3), 29, 7]-NRT-code) | [i] | ||
| 6 | No digital (1, 7, 12)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |
| 7 | No linear OA(537, 43, F5, 30) (dual of [43, 6, 31]-code) | [i] | Residual Code | |
| 8 | No linear OA(56, 13, F5, 5) (dual of [13, 7, 6]-code) | [i] | Dual of a Near-MDS Code Is Again a Near-MDS Code | |
| 9 | No linear OA(58, 32, F5, 6) (dual of [32, 24, 7]-code) | [i] | Construction Y1 (Bound) | |