Information on Result #3146989
There is no digital (8, 35, 41)-net over F4, because 3 times m-reduction would yield digital (8, 32, 41)-net over F4, but
- extracting embedded orthogonal array [i] 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
- construction Y1 [i] would yield
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.