Information on Result #547283
There is no linear OA(4208, 377, F4, 148) (dual of [377, 169, 149]-code), because residual code would yield OA(460, 228, S4, 37), but
- the linear programming bound shows that M ≥ 4 063856 865702 461109 434988 542147 550126 468452 401248 290460 178687 206981 384116 633600 / 3 020261 554987 735388 398172 544670 898492 334641 > 460 [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(4209, 378, F4, 149) (dual of [378, 169, 150]-code) | [i] | Truncation | |
| 2 | No linear OA(4210, 379, F4, 150) (dual of [379, 169, 151]-code) | [i] | ||
| 3 | No linear OA(4211, 380, F4, 151) (dual of [380, 169, 152]-code) | [i] | ||
| 4 | No linear OOA(4209, 377, F4, 2, 149) (dual of [(377, 2), 545, 150]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4210, 377, F4, 2, 150) (dual of [(377, 2), 544, 151]-NRT-code) | [i] | ||
| 6 | No linear OOA(4211, 377, F4, 2, 151) (dual of [(377, 2), 543, 152]-NRT-code) | [i] | ||
| 7 | No linear OOA(4208, 377, F4, 2, 148) (dual of [(377, 2), 546, 149]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4208, 377, F4, 3, 148) (dual of [(377, 3), 923, 149]-NRT-code) | [i] | ||
| 9 | No digital (60, 208, 377)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |