Information on Result #3070079
There is no (57, 251, 243)-net in base 4, because 12 times m-reduction would yield (57, 239, 243)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4239, 243, S4, 182), but
- the (dual) Plotkin bound shows that M ≥ 49 947976 805055 875702 105555 676690 660891 977570 282639 538413 746511 354005 947821 116249 921924 897649 015871 538557 230897 942505 966327 167610 868612 564900 642816 / 61 > 4239 [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.