Information on Result #3152002
There is no digital (21, 155, 257)-net over F8, because 6 times m-reduction would yield digital (21, 149, 257)-net over F8, but
- extracting embedded orthogonal array [i] would yield linear OA(8149, 257, F8, 128) (dual of [257, 108, 129]-code), but
- residual code [i] would yield OA(821, 128, S8, 16), but
- the linear programming bound shows that M ≥ 1 008968 613742 170487 095115 575000 563712 / 108734 057573 457133 > 821 [i]
- residual code [i] would yield OA(821, 128, 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.