Information on Result #3148952
There is no digital (49, 186, 251)-net over F4, because 1 times m-reduction would yield digital (49, 185, 251)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4185, 251, F4, 136) (dual of [251, 66, 137]-code), but
- residual code [i] would yield OA(449, 114, S4, 34), but
- the linear programming bound shows that M ≥ 73837 279280 872922 941589 362859 736957 032859 281523 757103 529962 039426 495046 673408 323442 317367 181312 / 220400 803902 692878 868954 567889 970450 363328 656821 930094 515712 713185 > 449 [i]
- residual code [i] would yield OA(449, 114, S4, 34), 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.