Information on Result #3149661
There is no digital (60, 251, 251)-net over F4, because 7 times m-reduction would yield digital (60, 244, 251)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4244, 251, F4, 184) (dual of [251, 7, 185]-code), but
- residual code [i] would yield OA(460, 66, S4, 46), but
- the linear programming bound shows that M ≥ 340 282366 920938 463463 374607 431768 211456 / 235 > 460 [i]
- residual code [i] would yield OA(460, 66, S4, 46), 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.