Information on Result #548006
There is no linear OA(8146, 152, F8, 128) (dual of [152, 6, 129]-code), because construction Y1 would yield
- linear OA(8145, 148, F8, 128) (dual of [148, 3, 129]-code), but
- OA(86, 152, S8, 4), but
- discarding factors would yield OA(86, 104, S8, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 263173 > 86 [i]
- discarding factors would yield OA(86, 104, S8, 4), but
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(8147, 153, F8, 129) (dual of [153, 6, 130]-code) | [i] | Truncation | |
| 2 | No linear OA(8148, 154, F8, 130) (dual of [154, 6, 131]-code) | [i] | ||
| 3 | No linear OA(8149, 155, F8, 131) (dual of [155, 6, 132]-code) | [i] | ||
| 4 | No linear OA(8150, 156, F8, 132) (dual of [156, 6, 133]-code) | [i] | ||
| 5 | No linear OA(8151, 157, F8, 133) (dual of [157, 6, 134]-code) | [i] | ||
| 6 | No linear OA(8152, 158, F8, 134) (dual of [158, 6, 135]-code) | [i] | ||
| 7 | No linear OA(8153, 159, F8, 135) (dual of [159, 6, 136]-code) | [i] | ||
| 8 | No linear OA(8147, 164, F8, 128) (dual of [164, 17, 129]-code) | [i] | Construction Y1 (Bound) | |