Information on Result #3015783
There is no (15, 36, 39)-net in base 2, because 1 times m-reduction would yield (15, 35, 39)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 39104 534028 > 235 [i]
- extracting embedded orthogonal array [i] would yield OA(235, 39, S2, 20), but
- the (dual) Plotkin bound shows that M ≥ 274877 906944 / 7 > 235 [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.