Information on Result #547326
There is no linear OA(4221, 434, F4, 156) (dual of [434, 213, 157]-code), because residual code would yield OA(465, 277, S4, 39), but
- the linear programming bound shows that M ≥ 114860 870016 374579 218653 717961 476899 219304 784975 141224 743527 918706 993971 303087 603712 / 81 574206 852274 374488 234675 560995 174637 976327 > 465 [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(4222, 435, F4, 157) (dual of [435, 213, 158]-code) | [i] | Truncation | |
| 2 | No linear OA(4223, 436, F4, 158) (dual of [436, 213, 159]-code) | [i] | ||
| 3 | No linear OA(4224, 437, F4, 159) (dual of [437, 213, 160]-code) | [i] | ||
| 4 | No linear OOA(4222, 434, F4, 2, 157) (dual of [(434, 2), 646, 158]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4223, 434, F4, 2, 158) (dual of [(434, 2), 645, 159]-NRT-code) | [i] | ||
| 6 | No linear OOA(4224, 434, F4, 2, 159) (dual of [(434, 2), 644, 160]-NRT-code) | [i] | ||
| 7 | No linear OOA(4221, 434, F4, 2, 156) (dual of [(434, 2), 647, 157]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4221, 434, F4, 3, 156) (dual of [(434, 3), 1081, 157]-NRT-code) | [i] | ||
| 9 | No digital (65, 221, 434)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |