Information on Result #563201
There is no linear OOA(854, 41, F8, 2, 50) (dual of [(41, 2), 28, 51]-NRT-code), because 18 step m-reduction would yield linear OA(836, 41, F8, 32) (dual of [41, 5, 33]-code), but
- construction Y1 [i] would yield
- OA(835, 37, S8, 32), but
- the (dual) Plotkin bound shows that M ≥ 1622 592768 292133 633915 780102 881280 / 33 > 835 [i]
- OA(85, 41, S8, 4), but
- discarding factors would yield OA(85, 37, S8, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 32894 > 85 [i]
- discarding factors would yield OA(85, 37, S8, 4), but
- OA(835, 37, S8, 32), 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(854, 41, F8, 3, 50) (dual of [(41, 3), 69, 51]-NRT-code) | [i] | Depth Reduction | |