Information on Result #3069564
There is no (53, 241, 227)-net in base 4, because 18 times m-reduction would yield (53, 223, 227)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4223, 227, S4, 170), but
- the (dual) Plotkin bound shows that M ≥ 11629 419588 729710 248789 180926 208072 549658 261770 997088 964503 843186 890228 609814 366773 219056 811420 217048 972200 345700 258846 936553 626057 834496 / 57 > 4223 [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.