Information on Result #547561
There is no linear OA(733, 58, F7, 28) (dual of [58, 25, 29]-code), because residual code would yield OA(75, 29, S7, 4), but
- the linear programming bound shows that M ≥ 3 384381 / 197 > 75 [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(734, 59, F7, 29) (dual of [59, 25, 30]-code) | [i] | Truncation | |
| 2 | No linear OOA(734, 58, F7, 2, 29) (dual of [(58, 2), 82, 30]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(733, 58, F7, 2, 28) (dual of [(58, 2), 83, 29]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(733, 58, F7, 3, 28) (dual of [(58, 3), 141, 29]-NRT-code) | [i] | ||
| 5 | No digital (5, 33, 58)-net over F7 | [i] | Extracting Embedded Orthogonal Array | |