Information on Result #547459
There is no linear OA(4250, 394, F4, 180) (dual of [394, 144, 181]-code), because residual code would yield OA(470, 213, S4, 45), but
- the linear programming bound shows that M ≥ 10138 160863 655691 762503 861603 731431 648994 530508 429756 680407 696662 337185 130982 211720 965164 892160 / 6819 841021 187779 545947 587667 623913 181856 482312 426343 > 470 [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(4251, 395, F4, 181) (dual of [395, 144, 182]-code) | [i] | Truncation | |
| 2 | No linear OA(4252, 396, F4, 182) (dual of [396, 144, 183]-code) | [i] | ||
| 3 | No linear OA(4253, 397, F4, 183) (dual of [397, 144, 184]-code) | [i] | ||
| 4 | No linear OOA(4251, 394, F4, 2, 181) (dual of [(394, 2), 537, 182]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4252, 394, F4, 2, 182) (dual of [(394, 2), 536, 183]-NRT-code) | [i] | ||
| 6 | No linear OOA(4253, 394, F4, 2, 183) (dual of [(394, 2), 535, 184]-NRT-code) | [i] | ||
| 7 | No linear OOA(4250, 394, F4, 2, 180) (dual of [(394, 2), 538, 181]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4250, 394, F4, 3, 180) (dual of [(394, 3), 932, 181]-NRT-code) | [i] | ||
| 9 | No digital (70, 250, 394)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |