Information on Result #547099
There is no linear OA(433, 64, F4, 24) (dual of [64, 31, 25]-code), because residual code would yield OA(49, 39, S4, 6), but
- the linear programming bound shows that M ≥ 504 832000 / 1843 > 49 [i]
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(434, 65, F4, 25) (dual of [65, 31, 26]-code) | [i] | Truncation | |
| 2 | No linear OOA(434, 64, F4, 2, 25) (dual of [(64, 2), 94, 26]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(433, 64, F4, 2, 24) (dual of [(64, 2), 95, 25]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(433, 64, F4, 3, 24) (dual of [(64, 3), 159, 25]-NRT-code) | [i] | ||
| 5 | No digital (9, 33, 64)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |