Information on Result #3151919
There is no digital (13, 86, 236)-net over F8, because 1 times m-reduction would yield digital (13, 85, 236)-net over F8, but
- extracting embedded orthogonal array [i] would yield linear OA(885, 236, F8, 72) (dual of [236, 151, 73]-code), but
- residual code [i] would yield OA(813, 163, S8, 9), but
- 1 times truncation [i] would yield OA(812, 162, S8, 8), but
- the linear programming bound shows that M ≥ 12 319920 743776 256000 / 177 696713 > 812 [i]
- 1 times truncation [i] would yield OA(812, 162, S8, 8), but
- residual code [i] would yield OA(813, 163, S8, 9), 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.