Information on Result #547240
There is no linear OA(4192, 279, F4, 140) (dual of [279, 87, 141]-code), because residual code would yield OA(452, 138, S4, 35), but
- the linear programming bound shows that M ≥ 14 564003 487067 138043 331719 274369 344824 206731 992337 689402 817088 211676 748054 528000 / 703008 083798 117523 214095 285089 936359 793876 700683 > 452 [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(4193, 280, F4, 141) (dual of [280, 87, 142]-code) | [i] | Truncation | |
| 2 | No linear OA(4194, 281, F4, 142) (dual of [281, 87, 143]-code) | [i] | ||
| 3 | No linear OA(4195, 282, F4, 143) (dual of [282, 87, 144]-code) | [i] | ||
| 4 | No linear OOA(4193, 279, F4, 2, 141) (dual of [(279, 2), 365, 142]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4194, 279, F4, 2, 142) (dual of [(279, 2), 364, 143]-NRT-code) | [i] | ||
| 6 | No linear OOA(4195, 279, F4, 2, 143) (dual of [(279, 2), 363, 144]-NRT-code) | [i] | ||
| 7 | No linear OOA(4192, 279, F4, 2, 140) (dual of [(279, 2), 366, 141]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4192, 279, F4, 3, 140) (dual of [(279, 3), 645, 141]-NRT-code) | [i] | ||
| 9 | No digital (52, 192, 279)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |