Information on Result #3148064
There is no digital (40, 145, 242)-net over F4, because 1 times m-reduction would yield digital (40, 144, 242)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4144, 242, F4, 104) (dual of [242, 98, 105]-code), but
- residual code [i] would yield OA(440, 137, S4, 26), but
- the linear programming bound shows that M ≥ 482 543072 349145 294988 866520 488882 831179 139598 254080 / 392 638906 322982 186151 177303 > 440 [i]
- residual code [i] would yield OA(440, 137, S4, 26), 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.