Information on Result #547579
There is no linear OA(885, 236, F8, 72) (dual of [236, 151, 73]-code), because residual code would yield OA(813, 163, S8, 9), but
- 1 times truncation [i] would yield OA(812, 162, S8, 8), but
- the linear programming bound shows that M ≥ 12 319920 743776 256000 / 177 696713 > 812 [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(886, 237, F8, 73) (dual of [237, 151, 74]-code) | [i] | Truncation | |
| 2 | No linear OOA(886, 236, F8, 2, 73) (dual of [(236, 2), 386, 74]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(885, 236, F8, 2, 72) (dual of [(236, 2), 387, 73]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(885, 236, F8, 3, 72) (dual of [(236, 3), 623, 73]-NRT-code) | [i] | ||
| 5 | No digital (13, 85, 236)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |