Information on Result #3152009
There is no digital (21, 163, 238)-net over F8, because 6 times m-reduction would yield digital (21, 157, 238)-net over F8, but
- extracting embedded orthogonal array [i] would yield linear OA(8157, 238, F8, 136) (dual of [238, 81, 137]-code), but
- residual code [i] would yield OA(821, 101, S8, 17), but
- 1 times truncation [i] would yield OA(820, 100, S8, 16), but
- the linear programming bound shows that M ≥ 766 916854 670851 025894 998613 688320 / 621 810617 698353 > 820 [i]
- 1 times truncation [i] would yield OA(820, 100, S8, 16), but
- residual code [i] would yield OA(821, 101, S8, 17), 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.