Information on Result #547347
There is no linear OA(4227, 447, F4, 160) (dual of [447, 220, 161]-code), because residual code would yield OA(467, 286, S4, 40), but
- the linear programming bound shows that M ≥ 2248 462530 540235 331681 045610 925265 548739 257567 179323 047117 943462 838604 815338 045440 000000 / 99794 086939 136362 792787 734261 406363 880711 755149 > 467 [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(4228, 448, F4, 161) (dual of [448, 220, 162]-code) | [i] | Truncation | |
| 2 | No linear OA(4229, 449, F4, 162) (dual of [449, 220, 163]-code) | [i] | ||
| 3 | No linear OA(4230, 450, F4, 163) (dual of [450, 220, 164]-code) | [i] | ||
| 4 | No linear OOA(4228, 447, F4, 2, 161) (dual of [(447, 2), 666, 162]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4229, 447, F4, 2, 162) (dual of [(447, 2), 665, 163]-NRT-code) | [i] | ||
| 6 | No linear OOA(4230, 447, F4, 2, 163) (dual of [(447, 2), 664, 164]-NRT-code) | [i] | ||
| 7 | No linear OOA(4227, 447, F4, 2, 160) (dual of [(447, 2), 667, 161]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4227, 447, F4, 3, 160) (dual of [(447, 3), 1114, 161]-NRT-code) | [i] | ||
| 9 | No digital (67, 227, 447)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |