Information on Result #3148506
There is no digital (44, 171, 223)-net over F4, because 3 times m-reduction would yield digital (44, 168, 223)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4168, 223, F4, 124) (dual of [223, 55, 125]-code), but
- residual code [i] would yield OA(444, 98, S4, 31), but
- the linear programming bound shows that M ≥ 3414 029206 960280 274418 067767 340182 249392 781167 507062 000069 867201 406582 128640 000000 / 10 918790 901850 294268 885174 154273 677983 317839 404573 351291 > 444 [i]
- residual code [i] would yield OA(444, 98, S4, 31), 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.