Information on Result #547282
There is no linear OA(4207, 358, F4, 148) (dual of [358, 151, 149]-code), because residual code would yield OA(459, 209, S4, 37), but
- the linear programming bound shows that M ≥ 3446 699662 509398 967731 365644 377802 984275 634503 925011 721737 994240 000000 000000 / 10213 023598 987442 955247 667333 699389 861739 > 459 [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(4208, 359, F4, 149) (dual of [359, 151, 150]-code) | [i] | Truncation | |
| 2 | No linear OA(4209, 360, F4, 150) (dual of [360, 151, 151]-code) | [i] | ||
| 3 | No linear OA(4210, 361, F4, 151) (dual of [361, 151, 152]-code) | [i] | ||
| 4 | No linear OOA(4208, 358, F4, 2, 149) (dual of [(358, 2), 508, 150]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4209, 358, F4, 2, 150) (dual of [(358, 2), 507, 151]-NRT-code) | [i] | ||
| 6 | No linear OOA(4210, 358, F4, 2, 151) (dual of [(358, 2), 506, 152]-NRT-code) | [i] | ||
| 7 | No linear OOA(4207, 358, F4, 2, 148) (dual of [(358, 2), 509, 149]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4207, 358, F4, 3, 148) (dual of [(358, 3), 867, 149]-NRT-code) | [i] | ||
| 9 | No digital (59, 207, 358)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |