Information on Result #547545
There is no linear OA(5143, 269, F5, 110) (dual of [269, 126, 111]-code), because residual code 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(5144, 270, F5, 111) (dual of [270, 126, 112]-code) | [i] | Truncation | |
| 2 | No linear OA(5145, 271, F5, 112) (dual of [271, 126, 113]-code) | [i] | ||
| 3 | No linear OA(5146, 272, F5, 113) (dual of [272, 126, 114]-code) | [i] | ||
| 4 | No linear OA(5147, 273, F5, 114) (dual of [273, 126, 115]-code) | [i] | ||
| 5 | No linear OOA(5144, 269, F5, 2, 111) (dual of [(269, 2), 394, 112]-NRT-code) | [i] | m-Reduction for OOAs | |
| 6 | No linear OOA(5145, 269, F5, 2, 112) (dual of [(269, 2), 393, 113]-NRT-code) | [i] | ||
| 7 | No linear OOA(5146, 269, F5, 2, 113) (dual of [(269, 2), 392, 114]-NRT-code) | [i] | ||
| 8 | No linear OOA(5147, 269, F5, 2, 114) (dual of [(269, 2), 391, 115]-NRT-code) | [i] | ||
| 9 | No linear OOA(5143, 269, F5, 2, 110) (dual of [(269, 2), 395, 111]-NRT-code) | [i] | Depth Reduction | |
| 10 | No linear OOA(5143, 269, F5, 3, 110) (dual of [(269, 3), 664, 111]-NRT-code) | [i] | ||
| 11 | No digital (33, 143, 269)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |