Information on Result #547592
There is no linear OA(8148, 229, F8, 128) (dual of [229, 81, 129]-code), because residual code would yield OA(820, 100, S8, 16), but
- the linear programming bound shows that M ≥ 766 916854 670851 025894 998613 688320 / 621 810617 698353 > 820 [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(8149, 230, F8, 129) (dual of [230, 81, 130]-code) | [i] | Truncation | |
| 2 | No linear OA(8150, 231, F8, 130) (dual of [231, 81, 131]-code) | [i] | ||
| 3 | No linear OA(8151, 232, F8, 131) (dual of [232, 81, 132]-code) | [i] | ||
| 4 | No linear OA(8152, 233, F8, 132) (dual of [233, 81, 133]-code) | [i] | ||
| 5 | No linear OA(8153, 234, F8, 133) (dual of [234, 81, 134]-code) | [i] | ||
| 6 | No linear OA(8154, 235, F8, 134) (dual of [235, 81, 135]-code) | [i] | ||
| 7 | No linear OA(8155, 236, F8, 135) (dual of [236, 81, 136]-code) | [i] | ||
| 8 | No linear OOA(8149, 229, F8, 2, 129) (dual of [(229, 2), 309, 130]-NRT-code) | [i] | m-Reduction for OOAs | |
| 9 | No linear OOA(8150, 229, F8, 2, 130) (dual of [(229, 2), 308, 131]-NRT-code) | [i] | ||
| 10 | No linear OOA(8151, 229, F8, 2, 131) (dual of [(229, 2), 307, 132]-NRT-code) | [i] | ||
| 11 | No linear OOA(8152, 229, F8, 2, 132) (dual of [(229, 2), 306, 133]-NRT-code) | [i] | ||
| 12 | No linear OOA(8153, 229, F8, 2, 133) (dual of [(229, 2), 305, 134]-NRT-code) | [i] | ||
| 13 | No linear OOA(8154, 229, F8, 2, 134) (dual of [(229, 2), 304, 135]-NRT-code) | [i] | ||
| 14 | No linear OOA(8155, 229, F8, 2, 135) (dual of [(229, 2), 303, 136]-NRT-code) | [i] | ||
| 15 | No linear OOA(8148, 229, F8, 2, 128) (dual of [(229, 2), 310, 129]-NRT-code) | [i] | Depth Reduction | |
| 16 | No linear OOA(8148, 229, F8, 3, 128) (dual of [(229, 3), 539, 129]-NRT-code) | [i] | ||
| 17 | No digital (20, 148, 229)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |
| 18 | No linear OA(8119, 267, F8, 101) (dual of [267, 148, 102]-code) | [i] | Construction Y1 (Bound) | |