Information on Result #3067004
There is no (37, 216, 162)-net in base 4, because 58 times m-reduction would yield (37, 158, 162)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4158, 162, S4, 121), but
- the (dual) Plotkin bound shows that M ≥ 8 543948 143683 640329 580086 824678 208458 410818 089426 611079 788166 431288 878903 122562 200091 848347 746304 / 61 > 4158 [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.