Information on Result #3150220
There is no digital (10, 58, 59)-net over F5, because 8 times m-reduction would yield digital (10, 50, 59)-net over F5, but
- extracting embedded orthogonal array [i] would yield linear OA(550, 59, F5, 40) (dual of [59, 9, 41]-code), but
- construction Y1 [i] would yield
- linear OA(549, 53, F5, 40) (dual of [53, 4, 41]-code), but
- residual code [i] would yield linear OA(59, 12, F5, 8) (dual of [12, 3, 9]-code), but
- OA(59, 59, S5, 6), but
- discarding factors would yield OA(59, 58, S5, 6), but
- the Rao or (dual) Hamming bound shows that M ≥ 2 001465 > 59 [i]
- discarding factors would yield OA(59, 58, S5, 6), but
- linear OA(549, 53, F5, 40) (dual of [53, 4, 41]-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.