Information on Result #562355
There is no linear OOA(565, 68, F5, 2, 53) (dual of [(68, 2), 71, 54]-NRT-code), because 3 step m-reduction would yield linear OA(562, 68, F5, 50) (dual of [68, 6, 51]-code), but
- construction Y1 [i] would yield
- linear OA(561, 64, F5, 50) (dual of [64, 3, 51]-code), but
- OA(56, 68, S5, 4), but
- discarding factors would yield OA(56, 45, S5, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 16021 > 56 [i]
- discarding factors would yield OA(56, 45, S5, 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 OOA(565, 68, F5, 3, 53) (dual of [(68, 3), 139, 54]-NRT-code) | [i] | Depth Reduction | |