Information on Result #563450
There is no linear OOA(8150, 164, F8, 2, 131) (dual of [(164, 2), 178, 132]-NRT-code), because 3 step m-reduction would yield linear OA(8147, 164, F8, 128) (dual of [164, 17, 129]-code), but
- construction Y1 [i] would yield
- linear OA(8146, 152, F8, 128) (dual of [152, 6, 129]-code), but
- construction Y1 [i] 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
- construction Y1 [i] would yield
- OA(817, 164, S8, 12), but
- discarding factors would yield OA(817, 158, S8, 12), but
- the Rao or (dual) Hamming bound shows that M ≥ 2322 300560 650316 > 817 [i]
- discarding factors would yield OA(817, 158, S8, 12), but
- linear OA(8146, 152, F8, 128) (dual of [152, 6, 129]-code), 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 OOA(8150, 164, F8, 3, 131) (dual of [(164, 3), 342, 132]-NRT-code) | [i] | Depth Reduction | |