Information on Result #547480
There is no linear OA(4254, 376, F4, 184) (dual of [376, 122, 185]-code), because residual code would yield OA(470, 191, S4, 46), but
- the linear programming bound shows that M ≥ 30669 687295 767807 163249 547418 721993 874758 654208 012151 612633 672044 408069 277192 616104 296206 434138 576650 240000 / 20720 048409 770029 043765 568578 931955 503324 140138 849174 037831 490849 > 470 [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(4255, 377, F4, 185) (dual of [377, 122, 186]-code) | [i] | Truncation | |
| 2 | No linear OA(4256, 378, F4, 186) (dual of [378, 122, 187]-code) | [i] | ||
| 3 | No linear OA(4257, 379, F4, 187) (dual of [379, 122, 188]-code) | [i] | ||
| 4 | No linear OOA(4255, 376, F4, 2, 185) (dual of [(376, 2), 497, 186]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4256, 376, F4, 2, 186) (dual of [(376, 2), 496, 187]-NRT-code) | [i] | ||
| 6 | No linear OOA(4257, 376, F4, 2, 187) (dual of [(376, 2), 495, 188]-NRT-code) | [i] | ||
| 7 | No linear OOA(4254, 376, F4, 2, 184) (dual of [(376, 2), 498, 185]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4254, 376, F4, 3, 184) (dual of [(376, 3), 874, 185]-NRT-code) | [i] | ||
| 9 | No digital (70, 254, 376)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |