Information on Result #547438
There is no linear OA(4248, 447, F4, 176) (dual of [447, 199, 177]-code), because residual code would yield OA(472, 270, S4, 44), but
- the linear programming bound shows that M ≥ 786435 471178 717771 595724 051341 292858 017461 789380 078325 091944 259711 116987 003218 742476 800000 000000 / 34141 957272 513139 588342 951169 793634 345796 839121 212019 > 472 [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(4249, 448, F4, 177) (dual of [448, 199, 178]-code) | [i] | Truncation | |
| 2 | No linear OA(4250, 449, F4, 178) (dual of [449, 199, 179]-code) | [i] | ||
| 3 | No linear OA(4251, 450, F4, 179) (dual of [450, 199, 180]-code) | [i] | ||
| 4 | No linear OOA(4249, 447, F4, 2, 177) (dual of [(447, 2), 645, 178]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4250, 447, F4, 2, 178) (dual of [(447, 2), 644, 179]-NRT-code) | [i] | ||
| 6 | No linear OOA(4251, 447, F4, 2, 179) (dual of [(447, 2), 643, 180]-NRT-code) | [i] | ||
| 7 | No linear OOA(4248, 447, F4, 2, 176) (dual of [(447, 2), 646, 177]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4248, 447, F4, 3, 176) (dual of [(447, 3), 1093, 177]-NRT-code) | [i] | ||
| 9 | No digital (72, 248, 447)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |