Information on Result #547325
There is no linear OA(4220, 410, F4, 156) (dual of [410, 190, 157]-code), because residual code would yield OA(464, 253, S4, 39), but
- the linear programming bound shows that M ≥ 87 990315 499933 092747 998978 965173 866430 179588 697159 392509 031688 470188 023139 532800 / 245601 782466 451850 219515 982198 351916 865117 > 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(4221, 411, F4, 157) (dual of [411, 190, 158]-code) | [i] | Truncation | |
| 2 | No linear OA(4222, 412, F4, 158) (dual of [412, 190, 159]-code) | [i] | ||
| 3 | No linear OA(4223, 413, F4, 159) (dual of [413, 190, 160]-code) | [i] | ||
| 4 | No linear OOA(4221, 410, F4, 2, 157) (dual of [(410, 2), 599, 158]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4222, 410, F4, 2, 158) (dual of [(410, 2), 598, 159]-NRT-code) | [i] | ||
| 6 | No linear OOA(4223, 410, F4, 2, 159) (dual of [(410, 2), 597, 160]-NRT-code) | [i] | ||
| 7 | No linear OOA(4220, 410, F4, 2, 156) (dual of [(410, 2), 600, 157]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4220, 410, F4, 3, 156) (dual of [(410, 3), 1010, 157]-NRT-code) | [i] | ||
| 9 | No digital (64, 220, 410)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |