Information on Result #3149526
There is no digital (58, 201, 391)-net over F4, because 3 times m-reduction would yield digital (58, 198, 391)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4198, 391, F4, 140) (dual of [391, 193, 141]-code), but
- residual code [i] would yield OA(458, 250, S4, 35), but
- the linear programming bound shows that M ≥ 1 169022 325481 903034 671724 153754 218504 051580 462823 775601 886542 980534 239232 / 13 842163 950449 124319 768889 299435 690739 > 458 [i]
- residual code [i] would yield OA(458, 250, S4, 35), 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.