Information on Result #3151936
There is no digital (19, 141, 225)-net over F8, because 2 times m-reduction would yield digital (19, 139, 225)-net over F8, but
- extracting embedded orthogonal array [i] would yield linear OA(8139, 225, F8, 120) (dual of [225, 86, 121]-code), but
- residual code [i] would yield OA(819, 104, S8, 15), but
- 1 times truncation [i] would yield OA(818, 103, S8, 14), but
- the linear programming bound shows that M ≥ 2 959453 402132 306537 427763 200000 / 157 546655 556261 > 818 [i]
- 1 times truncation [i] would yield OA(818, 103, S8, 14), but
- residual code [i] would yield OA(819, 104, S8, 15), 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.