Information on Result #547145
There is no linear OA(4151, 278, F4, 108) (dual of [278, 127, 109]-code), because residual code would yield OA(443, 169, S4, 27), but
- the linear programming bound shows that M ≥ 2 258084 826110 482413 293337 625257 488476 076882 126910 259200 / 27993 955821 734889 149855 565983 > 443 [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(4152, 279, F4, 109) (dual of [279, 127, 110]-code) | [i] | Truncation | |
| 2 | No linear OA(4153, 280, F4, 110) (dual of [280, 127, 111]-code) | [i] | ||
| 3 | No linear OA(4154, 281, F4, 111) (dual of [281, 127, 112]-code) | [i] | ||
| 4 | No linear OOA(4152, 278, F4, 2, 109) (dual of [(278, 2), 404, 110]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4153, 278, F4, 2, 110) (dual of [(278, 2), 403, 111]-NRT-code) | [i] | ||
| 6 | No linear OOA(4154, 278, F4, 2, 111) (dual of [(278, 2), 402, 112]-NRT-code) | [i] | ||
| 7 | No linear OOA(4151, 278, F4, 2, 108) (dual of [(278, 2), 405, 109]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4151, 278, F4, 3, 108) (dual of [(278, 3), 683, 109]-NRT-code) | [i] | ||
| 9 | No digital (43, 151, 278)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |