Information on Result #547552
There is no linear OA(5149, 275, F5, 115) (dual of [275, 126, 116]-code), because residual code would yield OA(534, 159, S5, 23), but
- 1 times truncation [i] would yield OA(533, 158, S5, 22), but
- the linear programming bound shows that M ≥ 8138 155868 573527 404198 089602 172374 725341 796875 / 64473 857393 675955 668371 > 533 [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(5150, 276, F5, 116) (dual of [276, 126, 117]-code) | [i] | Truncation | |
| 2 | No linear OOA(5150, 275, F5, 2, 116) (dual of [(275, 2), 400, 117]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(5149, 275, F5, 2, 115) (dual of [(275, 2), 401, 116]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(5149, 275, F5, 3, 115) (dual of [(275, 3), 676, 116]-NRT-code) | [i] | ||
| 5 | No digital (34, 149, 275)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |