Information on Result #563553
There is no linear OOA(8170, 182, F8, 2, 149) (dual of [(182, 2), 194, 150]-NRT-code), because 5 step m-reduction would yield linear OA(8165, 182, F8, 144) (dual of [182, 17, 145]-code), but
- construction Y1 [i] would yield
- linear OA(8164, 170, F8, 144) (dual of [170, 6, 145]-code), but
- construction Y1 [i] would yield
- linear OA(8163, 166, F8, 144) (dual of [166, 3, 145]-code), but
- OA(86, 170, 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, 182, 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(8164, 170, F8, 144) (dual of [170, 6, 145]-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(8170, 182, F8, 3, 149) (dual of [(182, 3), 376, 150]-NRT-code) | [i] | Depth Reduction | |