Information on Result #547629
There is no linear OA(9144, 249, F9, 126) (dual of [249, 105, 127]-code), because residual code would yield OA(918, 122, S9, 14), but
- the linear programming bound shows that M ≥ 4161 607418 279756 679704 515291 060521 / 26198 155282 991513 > 918 [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(9145, 250, F9, 127) (dual of [250, 105, 128]-code) | [i] | Truncation | |
| 2 | No linear OA(9146, 251, F9, 128) (dual of [251, 105, 129]-code) | [i] | ||
| 3 | No linear OA(9147, 252, F9, 129) (dual of [252, 105, 130]-code) | [i] | ||
| 4 | No linear OA(9148, 253, F9, 130) (dual of [253, 105, 131]-code) | [i] | ||
| 5 | No linear OA(9149, 254, F9, 131) (dual of [254, 105, 132]-code) | [i] | ||
| 6 | No linear OA(9150, 255, F9, 132) (dual of [255, 105, 133]-code) | [i] | ||
| 7 | No linear OOA(9145, 249, F9, 2, 127) (dual of [(249, 2), 353, 128]-NRT-code) | [i] | m-Reduction for OOAs | |
| 8 | No linear OOA(9146, 249, F9, 2, 128) (dual of [(249, 2), 352, 129]-NRT-code) | [i] | ||
| 9 | No linear OOA(9147, 249, F9, 2, 129) (dual of [(249, 2), 351, 130]-NRT-code) | [i] | ||
| 10 | No linear OOA(9148, 249, F9, 2, 130) (dual of [(249, 2), 350, 131]-NRT-code) | [i] | ||
| 11 | No linear OOA(9149, 249, F9, 2, 131) (dual of [(249, 2), 349, 132]-NRT-code) | [i] | ||
| 12 | No linear OOA(9150, 249, F9, 2, 132) (dual of [(249, 2), 348, 133]-NRT-code) | [i] | ||
| 13 | No linear OOA(9144, 249, F9, 2, 126) (dual of [(249, 2), 354, 127]-NRT-code) | [i] | Depth Reduction | |
| 14 | No linear OOA(9144, 249, F9, 3, 126) (dual of [(249, 3), 603, 127]-NRT-code) | [i] | ||
| 15 | No digital (18, 144, 249)-net over F9 | [i] | Extracting Embedded Orthogonal Array | |