Information on Result #547296
There is no linear OA(4207, 278, F4, 152) (dual of [278, 71, 153]-code), because residual code would yield OA(455, 125, S4, 38), but
- the linear programming bound shows that M ≥ 319 069835 724865 932418 074123 003651 341257 341197 442579 627763 661845 151026 883688 745199 999424 563055 993464 060641 280000 / 235791 539716 773839 952561 097991 148290 075568 550579 267395 341876 457603 747103 745171 > 455 [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(4208, 279, F4, 153) (dual of [279, 71, 154]-code) | [i] | Truncation | |
| 2 | No linear OA(4209, 280, F4, 154) (dual of [280, 71, 155]-code) | [i] | ||
| 3 | No linear OA(4210, 281, F4, 155) (dual of [281, 71, 156]-code) | [i] | ||
| 4 | No linear OOA(4208, 278, F4, 2, 153) (dual of [(278, 2), 348, 154]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4209, 278, F4, 2, 154) (dual of [(278, 2), 347, 155]-NRT-code) | [i] | ||
| 6 | No linear OOA(4210, 278, F4, 2, 155) (dual of [(278, 2), 346, 156]-NRT-code) | [i] | ||
| 7 | No linear OOA(4207, 278, F4, 2, 152) (dual of [(278, 2), 349, 153]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4207, 278, F4, 3, 152) (dual of [(278, 3), 627, 153]-NRT-code) | [i] | ||
| 9 | No digital (55, 207, 278)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |