Information on Result #547386
There is no linear OA(4232, 349, F4, 168) (dual of [349, 117, 169]-code), because residual code would yield OA(464, 180, S4, 42), but
- the linear programming bound shows that M ≥ 387317 878288 940952 121032 892106 078533 601878 434569 146042 672353 835001 098548 766344 071344 765591 401529 344000 / 1135 320053 976181 914391 551986 355178 156290 618852 310180 915372 701779 > 464 [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(4233, 350, F4, 169) (dual of [350, 117, 170]-code) | [i] | Truncation | |
| 2 | No linear OA(4234, 351, F4, 170) (dual of [351, 117, 171]-code) | [i] | ||
| 3 | No linear OA(4235, 352, F4, 171) (dual of [352, 117, 172]-code) | [i] | ||
| 4 | No linear OOA(4233, 349, F4, 2, 169) (dual of [(349, 2), 465, 170]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4234, 349, F4, 2, 170) (dual of [(349, 2), 464, 171]-NRT-code) | [i] | ||
| 6 | No linear OOA(4235, 349, F4, 2, 171) (dual of [(349, 2), 463, 172]-NRT-code) | [i] | ||
| 7 | No linear OOA(4232, 349, F4, 2, 168) (dual of [(349, 2), 466, 169]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4232, 349, F4, 3, 168) (dual of [(349, 3), 815, 169]-NRT-code) | [i] | ||
| 9 | No digital (64, 232, 349)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |