Information on Result #547389
There is no linear OA(4235, 399, F4, 168) (dual of [399, 164, 169]-code), because residual code would yield OA(467, 230, S4, 42), but
- the linear programming bound shows that M ≥ 133 864877 868223 848277 340960 330245 263082 378026 507294 938785 509330 612908 753764 170596 352000 / 6063 223087 091274 607869 862566 805531 022255 644183 > 467 [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(4236, 400, F4, 169) (dual of [400, 164, 170]-code) | [i] | Truncation | |
| 2 | No linear OA(4237, 401, F4, 170) (dual of [401, 164, 171]-code) | [i] | ||
| 3 | No linear OA(4238, 402, F4, 171) (dual of [402, 164, 172]-code) | [i] | ||
| 4 | No linear OOA(4236, 399, F4, 2, 169) (dual of [(399, 2), 562, 170]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4237, 399, F4, 2, 170) (dual of [(399, 2), 561, 171]-NRT-code) | [i] | ||
| 6 | No linear OOA(4238, 399, F4, 2, 171) (dual of [(399, 2), 560, 172]-NRT-code) | [i] | ||
| 7 | No linear OOA(4235, 399, F4, 2, 168) (dual of [(399, 2), 563, 169]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4235, 399, F4, 3, 168) (dual of [(399, 3), 962, 169]-NRT-code) | [i] | ||
| 9 | No digital (67, 235, 399)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |