Information on Result #547581
There is no linear OA(8104, 281, F8, 88) (dual of [281, 177, 89]-code), because residual code would yield OA(816, 192, S8, 11), but
- 1 times truncation [i] would yield OA(815, 191, S8, 10), but
- the linear programming bound shows that M ≥ 25 427098 382149 761175 126016 / 717528 710051 > 815 [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(8105, 282, F8, 89) (dual of [282, 177, 90]-code) | [i] | Truncation | |
| 2 | No linear OOA(8105, 281, F8, 2, 89) (dual of [(281, 2), 457, 90]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(8104, 281, F8, 2, 88) (dual of [(281, 2), 458, 89]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(8104, 281, F8, 3, 88) (dual of [(281, 3), 739, 89]-NRT-code) | [i] | ||
| 5 | No digital (16, 104, 281)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |