Information on Result #547388
There is no linear OA(4234, 383, F4, 168) (dual of [383, 149, 169]-code), because residual code would yield OA(466, 214, S4, 42), but
- the linear programming bound shows that M ≥ 113 026714 592523 165071 661888 079481 443471 353704 422593 024055 302731 631761 970405 969474 549718 427811 971072 / 20291 149710 796120 930866 391420 785164 794765 888342 457078 864235 > 466 [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(4235, 384, F4, 169) (dual of [384, 149, 170]-code) | [i] | Truncation | |
| 2 | No linear OA(4236, 385, F4, 170) (dual of [385, 149, 171]-code) | [i] | ||
| 3 | No linear OA(4237, 386, F4, 171) (dual of [386, 149, 172]-code) | [i] | ||
| 4 | No linear OOA(4235, 383, F4, 2, 169) (dual of [(383, 2), 531, 170]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4236, 383, F4, 2, 170) (dual of [(383, 2), 530, 171]-NRT-code) | [i] | ||
| 6 | No linear OOA(4237, 383, F4, 2, 171) (dual of [(383, 2), 529, 172]-NRT-code) | [i] | ||
| 7 | No linear OOA(4234, 383, F4, 2, 168) (dual of [(383, 2), 532, 169]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4234, 383, F4, 3, 168) (dual of [(383, 3), 915, 169]-NRT-code) | [i] | ||
| 9 | No digital (66, 234, 383)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |