Information on Result #3152042
There is no digital (23, 171, 268)-net over F8, because 4 times m-reduction would yield digital (23, 167, 268)-net over F8, but
- extracting embedded orthogonal array [i] would yield linear OA(8167, 268, F8, 144) (dual of [268, 101, 145]-code), but
- residual code [i] would yield OA(823, 123, S8, 18), but
- the linear programming bound shows that M ≥ 1 743141 598735 488799 812535 200593 739776 / 2760 831294 791795 > 823 [i]
- residual code [i] would yield OA(823, 123, S8, 18), 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.