Information on Result #559091
There is no linear OOA(433, 41, F4, 2, 25) (dual of [(41, 2), 49, 26]-NRT-code), because 1 step m-reduction would yield linear OA(432, 41, F4, 24) (dual of [41, 9, 25]-code), but
- construction Y1 [i] would yield
- linear OA(431, 35, F4, 24) (dual of [35, 4, 25]-code), but
- residual code [i] would yield linear OA(47, 10, F4, 6) (dual of [10, 3, 7]-code), but
- OA(49, 41, S4, 6), but
- discarding factors would yield OA(49, 40, S4, 6), but
- the Rao or (dual) Hamming bound shows that M ≥ 273901 > 49 [i]
- discarding factors would yield OA(49, 40, S4, 6), but
- linear OA(431, 35, F4, 24) (dual of [35, 4, 25]-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(433, 41, F4, 3, 25) (dual of [(41, 3), 90, 26]-NRT-code) | [i] | Depth Reduction | |