Information on Result #3068601
There is no (47, 222, 203)-net in base 4, because 23 times m-reduction would yield (47, 199, 203)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4199, 203, S4, 152), but
- the (dual) Plotkin bound shows that M ≥ 41 315998 049390 537434 494706 752048 189989 275292 685267 576205 290549 704650 361952 269459 114074 325652 482205 302974 450751 563959 894016 / 51 > 4199 [i]
Mode: Bound.
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.