Information on Result #547594
There is no linear OA(8150, 295, F8, 128) (dual of [295, 145, 129]-code), because residual code would yield OA(822, 166, S8, 16), but
- the linear programming bound shows that M ≥ 26 798659 959530 216996 696935 502970 880000 / 354598 749781 763993 > 822 [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(8151, 296, F8, 129) (dual of [296, 145, 130]-code) | [i] | Truncation | |
| 2 | No linear OA(8152, 297, F8, 130) (dual of [297, 145, 131]-code) | [i] | ||
| 3 | No linear OA(8153, 298, F8, 131) (dual of [298, 145, 132]-code) | [i] | ||
| 4 | No linear OA(8154, 299, F8, 132) (dual of [299, 145, 133]-code) | [i] | ||
| 5 | No linear OA(8155, 300, F8, 133) (dual of [300, 145, 134]-code) | [i] | ||
| 6 | No linear OA(8156, 301, F8, 134) (dual of [301, 145, 135]-code) | [i] | ||
| 7 | No linear OA(8157, 302, F8, 135) (dual of [302, 145, 136]-code) | [i] | ||
| 8 | No linear OOA(8151, 295, F8, 2, 129) (dual of [(295, 2), 439, 130]-NRT-code) | [i] | m-Reduction for OOAs | |
| 9 | No linear OOA(8152, 295, F8, 2, 130) (dual of [(295, 2), 438, 131]-NRT-code) | [i] | ||
| 10 | No linear OOA(8153, 295, F8, 2, 131) (dual of [(295, 2), 437, 132]-NRT-code) | [i] | ||
| 11 | No linear OOA(8154, 295, F8, 2, 132) (dual of [(295, 2), 436, 133]-NRT-code) | [i] | ||
| 12 | No linear OOA(8155, 295, F8, 2, 133) (dual of [(295, 2), 435, 134]-NRT-code) | [i] | ||
| 13 | No linear OOA(8156, 295, F8, 2, 134) (dual of [(295, 2), 434, 135]-NRT-code) | [i] | ||
| 14 | No linear OOA(8157, 295, F8, 2, 135) (dual of [(295, 2), 433, 136]-NRT-code) | [i] | ||
| 15 | No linear OOA(8150, 295, F8, 2, 128) (dual of [(295, 2), 440, 129]-NRT-code) | [i] | Depth Reduction | |
| 16 | No linear OOA(8150, 295, F8, 3, 128) (dual of [(295, 3), 735, 129]-NRT-code) | [i] | ||
| 17 | No digital (22, 150, 295)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |