Information on Result #547258
There is no linear OA(4197, 279, F4, 144) (dual of [279, 82, 145]-code), because residual code would yield OA(453, 134, S4, 36), but
- the linear programming bound shows that M ≥ 13977 135218 163528 704731 898937 416611 213183 957686 665072 733824 249885 272036 744364 032000 / 160 460837 511194 840278 088549 800082 466977 532904 587207 > 453 [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(4198, 280, F4, 145) (dual of [280, 82, 146]-code) | [i] | Truncation | |
| 2 | No linear OA(4199, 281, F4, 146) (dual of [281, 82, 147]-code) | [i] | ||
| 3 | No linear OA(4200, 282, F4, 147) (dual of [282, 82, 148]-code) | [i] | ||
| 4 | No linear OOA(4198, 279, F4, 2, 145) (dual of [(279, 2), 360, 146]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4199, 279, F4, 2, 146) (dual of [(279, 2), 359, 147]-NRT-code) | [i] | ||
| 6 | No linear OOA(4200, 279, F4, 2, 147) (dual of [(279, 2), 358, 148]-NRT-code) | [i] | ||
| 7 | No linear OOA(4197, 279, F4, 2, 144) (dual of [(279, 2), 361, 145]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4197, 279, F4, 3, 144) (dual of [(279, 3), 640, 145]-NRT-code) | [i] | ||
| 9 | No digital (53, 197, 279)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |