Information on Result #3151977
There is no digital (20, 152, 229)-net over F8, because 4 times m-reduction would yield digital (20, 148, 229)-net over F8, but
- extracting embedded orthogonal array [i] would yield linear OA(8148, 229, F8, 128) (dual of [229, 81, 129]-code), but
- residual code [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]
- residual code [i] would yield OA(820, 100, S8, 16), 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.