Information on Result #547631
There is no linear OA(9147, 438, F9, 126) (dual of [438, 291, 127]-code), because residual code would yield OA(921, 311, S9, 14), but
- the Rao or (dual) Hamming bound shows that M ≥ 109 707795 121304 339193 > 921 [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(9148, 439, F9, 127) (dual of [439, 291, 128]-code) | [i] | Truncation | |
| 2 | No linear OA(9149, 440, F9, 128) (dual of [440, 291, 129]-code) | [i] | ||
| 3 | No linear OA(9150, 441, F9, 129) (dual of [441, 291, 130]-code) | [i] | ||
| 4 | No linear OOA(9148, 438, F9, 2, 127) (dual of [(438, 2), 728, 128]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(9149, 438, F9, 2, 128) (dual of [(438, 2), 727, 129]-NRT-code) | [i] | ||
| 6 | No linear OOA(9150, 438, F9, 2, 129) (dual of [(438, 2), 726, 130]-NRT-code) | [i] | ||
| 7 | No linear OOA(9147, 438, F9, 2, 126) (dual of [(438, 2), 729, 127]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(9147, 438, F9, 3, 126) (dual of [(438, 3), 1167, 127]-NRT-code) | [i] | ||
| 9 | No digital (21, 147, 438)-net over F9 | [i] | Extracting Embedded Orthogonal Array | |