Information on Result #547483
There is no linear OA(4257, 425, F4, 184) (dual of [425, 168, 185]-code), because residual code would yield OA(473, 240, S4, 46), but
- the linear programming bound shows that M ≥ 3081 664986 883081 627986 607924 585409 348828 403557 841996 916067 930922 037066 224815 129884 411985 660277 287813 120000 / 34 388507 451119 783895 235565 346914 908818 017904 036178 247038 198799 > 473 [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(4258, 426, F4, 185) (dual of [426, 168, 186]-code) | [i] | Truncation | |
| 2 | No linear OA(4259, 427, F4, 186) (dual of [427, 168, 187]-code) | [i] | ||
| 3 | No linear OA(4260, 428, F4, 187) (dual of [428, 168, 188]-code) | [i] | ||
| 4 | No linear OOA(4258, 425, F4, 2, 185) (dual of [(425, 2), 592, 186]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4259, 425, F4, 2, 186) (dual of [(425, 2), 591, 187]-NRT-code) | [i] | ||
| 6 | No linear OOA(4260, 425, F4, 2, 187) (dual of [(425, 2), 590, 188]-NRT-code) | [i] | ||
| 7 | No linear OOA(4257, 425, F4, 2, 184) (dual of [(425, 2), 593, 185]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4257, 425, F4, 3, 184) (dual of [(425, 3), 1018, 185]-NRT-code) | [i] | ||
| 9 | No digital (73, 257, 425)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |