Information on Result #3149778
There is no digital (63, 253, 264)-net over F4, because 2 times m-reduction would yield digital (63, 251, 264)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4251, 264, F4, 188) (dual of [264, 13, 189]-code), but
- residual code [i] would yield OA(463, 75, S4, 47), but
- the linear programming bound shows that M ≥ 108 051901 662607 115934 306119 345453 950792 892416 / 1 213839 > 463 [i]
- residual code [i] would yield OA(463, 75, S4, 47), 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.