Information on Result #547294
There is no linear OA(4205, 246, F4, 152) (dual of [246, 41, 153]-code), because residual code would yield OA(453, 93, S4, 38), but
- the linear programming bound shows that M ≥ 75 732845 984145 428780 199922 279583 407868 241018 898271 306741 529817 383686 091619 434496 / 921595 659344 088994 644725 748885 291293 959320 238665 > 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.
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(4206, 247, F4, 153) (dual of [247, 41, 154]-code) | [i] | Truncation | |
| 2 | No linear OA(4207, 248, F4, 154) (dual of [248, 41, 155]-code) | [i] | ||
| 3 | No linear OA(4208, 249, F4, 155) (dual of [249, 41, 156]-code) | [i] | ||
| 4 | No linear OOA(4206, 246, F4, 2, 153) (dual of [(246, 2), 286, 154]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4207, 246, F4, 2, 154) (dual of [(246, 2), 285, 155]-NRT-code) | [i] | ||
| 6 | No linear OOA(4208, 246, F4, 2, 155) (dual of [(246, 2), 284, 156]-NRT-code) | [i] | ||
| 7 | No linear OOA(4205, 246, F4, 2, 152) (dual of [(246, 2), 287, 153]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4205, 246, F4, 3, 152) (dual of [(246, 3), 533, 153]-NRT-code) | [i] | ||
| 9 | No digital (53, 205, 246)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |