Information on Result #3153036
There is no digital (5, 72, 159)-net over F16, because 3 times m-reduction would yield digital (5, 69, 159)-net over F16, but
- extracting embedded orthogonal array [i] would yield linear OA(1669, 159, F16, 64) (dual of [159, 90, 65]-code), but
- residual code [i] would yield OA(165, 94, S16, 4), but
- the linear programming bound shows that M ≥ 2179 760128 / 2071 > 165 [i]
- residual code [i] would yield OA(165, 94, S16, 4), 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.