Information on Result #3151923
There is no digital (15, 99, 272)-net over F8, because 4 times m-reduction would yield digital (15, 95, 272)-net over F8, but
- extracting embedded orthogonal array [i] would yield linear OA(895, 272, F8, 80) (dual of [272, 177, 81]-code), but
- residual code [i] would yield OA(815, 191, S8, 10), but
- the linear programming bound shows that M ≥ 25 427098 382149 761175 126016 / 717528 710051 > 815 [i]
- residual code [i] would yield OA(815, 191, S8, 10), 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.