Information on Result #547576
There is no linear OA(846, 77, F8, 40) (dual of [77, 31, 41]-code), because residual code would yield OA(86, 36, S8, 5), but
- 1 times truncation [i] would yield OA(85, 35, S8, 4), but
- the linear programming bound shows that M ≥ 1 306624 / 39 > 85 [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(847, 78, F8, 41) (dual of [78, 31, 42]-code) | [i] | Truncation | |
| 2 | No linear OOA(847, 77, F8, 2, 41) (dual of [(77, 2), 107, 42]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(846, 77, F8, 2, 40) (dual of [(77, 2), 108, 41]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(846, 77, F8, 3, 40) (dual of [(77, 3), 185, 41]-NRT-code) | [i] | ||
| 5 | No digital (6, 46, 77)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |