Information on Result #547235
There is no linear OA(4187, 203, F4, 140) (dual of [203, 16, 141]-code), because residual code would yield OA(447, 62, S4, 35), but
- the linear programming bound shows that M ≥ 217 744891 226262 262890 190156 163220 242432 / 10152 833075 > 447 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(4188, 204, F4, 141) (dual of [204, 16, 142]-code) | [i] | Truncation | |
| 2 | No linear OOA(4188, 203, F4, 2, 141) (dual of [(203, 2), 218, 142]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(4189, 203, F4, 2, 142) (dual of [(203, 2), 217, 143]-NRT-code) | [i] | ||
| 4 | No linear OOA(4190, 203, F4, 2, 143) (dual of [(203, 2), 216, 144]-NRT-code) | [i] | ||
| 5 | No linear OOA(4187, 203, F4, 2, 140) (dual of [(203, 2), 219, 141]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(4187, 203, F4, 3, 140) (dual of [(203, 3), 422, 141]-NRT-code) | [i] | ||
| 7 | No digital (47, 187, 203)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |