Information on Result #3027510
There is no (86, 181, 184)-net in base 2, because 3 times m-reduction would yield (86, 178, 184)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2178, 184, S2, 92), but
- adding a parity check bit [i] would yield OA(2179, 185, S2, 93), but
- the (dual) Plotkin bound shows that M ≥ 36 779892 980781 332600 600328 651607 420406 849738 932406 452224 / 47 > 2179 [i]
- adding a parity check bit [i] would yield OA(2179, 185, S2, 93), but
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.