Information on Result #547582
There is no linear OA(8113, 253, F8, 96) (dual of [253, 140, 97]-code), because residual code would yield OA(817, 156, S8, 12), but
- the linear programming bound shows that M ≥ 1286 164020 628913 493653 848064 / 561010 505683 > 817 [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 OOA(8113, 253, F8, 2, 96) (dual of [(253, 2), 393, 97]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(8113, 253, F8, 3, 96) (dual of [(253, 3), 646, 97]-NRT-code) | [i] | ||
| 3 | No digital (17, 113, 253)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |