Information on Result #547426
There is no linear OA(4236, 258, F4, 176) (dual of [258, 22, 177]-code), because residual code would yield OA(460, 81, S4, 44), but
- the linear programming bound shows that M ≥ 278 016363 629983 093645 810481 419845 575227 299067 854848 / 143 941903 015625 > 460 [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(4237, 259, F4, 177) (dual of [259, 22, 178]-code) | [i] | Truncation | |
| 2 | No linear OA(4238, 260, F4, 178) (dual of [260, 22, 179]-code) | [i] | ||
| 3 | No linear OA(4239, 261, F4, 179) (dual of [261, 22, 180]-code) | [i] | ||
| 4 | No linear OOA(4237, 258, F4, 2, 177) (dual of [(258, 2), 279, 178]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4238, 258, F4, 2, 178) (dual of [(258, 2), 278, 179]-NRT-code) | [i] | ||
| 6 | No linear OOA(4239, 258, F4, 2, 179) (dual of [(258, 2), 277, 180]-NRT-code) | [i] | ||
| 7 | No linear OOA(4236, 258, F4, 2, 176) (dual of [(258, 2), 280, 177]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4236, 258, F4, 3, 176) (dual of [(258, 3), 538, 177]-NRT-code) | [i] | ||
| 9 | No digital (60, 236, 258)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |