Information on Result #3151970
There is no digital (20, 144, 260)-net over F8, because 4 times m-reduction would yield digital (20, 140, 260)-net over F8, but
- extracting embedded orthogonal array [i] would yield linear OA(8140, 260, F8, 120) (dual of [260, 120, 121]-code), but
- residual code [i] would yield OA(820, 139, S8, 15), but
- 1 times truncation [i] would yield OA(819, 138, S8, 14), but
- the linear programming bound shows that M ≥ 411449 038157 955600 826236 928000 / 2 816739 543071 > 819 [i]
- 1 times truncation [i] would yield OA(819, 138, S8, 14), but
- residual code [i] would yield OA(820, 139, 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.