Information on Result #547630
There is no linear OA(9145, 293, F9, 126) (dual of [293, 148, 127]-code), because residual code would yield OA(919, 166, S9, 14), but
- the linear programming bound shows that M ≥ 5 635433 437532 802732 976253 071875 / 4 113530 240531 > 919 [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(9146, 294, F9, 127) (dual of [294, 148, 128]-code) | [i] | Truncation | |
| 2 | No linear OA(9147, 295, F9, 128) (dual of [295, 148, 129]-code) | [i] | ||
| 3 | No linear OA(9148, 296, F9, 129) (dual of [296, 148, 130]-code) | [i] | ||
| 4 | No linear OA(9149, 297, F9, 130) (dual of [297, 148, 131]-code) | [i] | ||
| 5 | No linear OA(9150, 298, F9, 131) (dual of [298, 148, 132]-code) | [i] | ||
| 6 | No linear OOA(9146, 293, F9, 2, 127) (dual of [(293, 2), 440, 128]-NRT-code) | [i] | m-Reduction for OOAs | |
| 7 | No linear OOA(9147, 293, F9, 2, 128) (dual of [(293, 2), 439, 129]-NRT-code) | [i] | ||
| 8 | No linear OOA(9148, 293, F9, 2, 129) (dual of [(293, 2), 438, 130]-NRT-code) | [i] | ||
| 9 | No linear OOA(9149, 293, F9, 2, 130) (dual of [(293, 2), 437, 131]-NRT-code) | [i] | ||
| 10 | No linear OOA(9150, 293, F9, 2, 131) (dual of [(293, 2), 436, 132]-NRT-code) | [i] | ||
| 11 | No linear OOA(9145, 293, F9, 2, 126) (dual of [(293, 2), 441, 127]-NRT-code) | [i] | Depth Reduction | |
| 12 | No linear OOA(9145, 293, F9, 3, 126) (dual of [(293, 3), 734, 127]-NRT-code) | [i] | ||
| 13 | No digital (19, 145, 293)-net over F9 | [i] | Extracting Embedded Orthogonal Array | |