Information on Result #563260
There is no linear OOA(870, 50, F8, 2, 65) (dual of [(50, 2), 30, 66]-NRT-code), because 25 step m-reduction would yield linear OA(845, 50, F8, 40) (dual of [50, 5, 41]-code), but
- construction Y1 [i] would yield
- OA(844, 46, S8, 40), but
- the (dual) Plotkin bound shows that M ≥ 261336 857795 280739 939871 698507 597986 398208 / 41 > 844 [i]
- OA(85, 50, 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(844, 46, S8, 40), 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(870, 50, F8, 3, 65) (dual of [(50, 3), 80, 66]-NRT-code) | [i] | Depth Reduction | |