Information on Result #547391
There is no linear OA(4237, 434, F4, 168) (dual of [434, 197, 169]-code), because residual code would yield OA(469, 265, S4, 42), but
- the linear programming bound shows that M ≥ 52348 985175 743312 195164 699043 560255 242722 252419 549522 172173 323504 377479 561128 758476 800000 / 141682 475264 470819 104457 406563 443902 424070 593403 > 469 [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(4238, 435, F4, 169) (dual of [435, 197, 170]-code) | [i] | Truncation | |
| 2 | No linear OA(4239, 436, F4, 170) (dual of [436, 197, 171]-code) | [i] | ||
| 3 | No linear OA(4240, 437, F4, 171) (dual of [437, 197, 172]-code) | [i] | ||
| 4 | No linear OOA(4238, 434, F4, 2, 169) (dual of [(434, 2), 630, 170]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4239, 434, F4, 2, 170) (dual of [(434, 2), 629, 171]-NRT-code) | [i] | ||
| 6 | No linear OOA(4240, 434, F4, 2, 171) (dual of [(434, 2), 628, 172]-NRT-code) | [i] | ||
| 7 | No linear OOA(4237, 434, F4, 2, 168) (dual of [(434, 2), 631, 169]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4237, 434, F4, 3, 168) (dual of [(434, 3), 1065, 169]-NRT-code) | [i] | ||
| 9 | No digital (69, 237, 434)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |