Information on Result #599916
There is no digital (1, 25, 94)-net over F25, because extracting embedded orthogonal array would yield linear OA(2525, 94, F25, 24) (dual of [94, 69, 25]-code), but
- construction Y1 [i] would yield
- linear OA(2524, 27, F25, 24) (dual of [27, 3, 25]-code or 27-arc in PG(23,25)), but
- OA(2569, 94, S25, 67), but
- discarding factors would yield OA(2569, 73, S25, 67), but
- the linear programming bound shows that M ≥ 24178 564222 846123 668546 399721 917528 895562 151649 914153 732205 158997 548011 257094 913162 291049 957275 390625 / 7242 > 2569 [i]
- discarding factors would yield OA(2569, 73, S25, 67), but
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.