Information on Result #3021576
There is no (44, 99, 99)-net in base 2, because 5 times m-reduction would yield (44, 94, 99)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(294, 99, S2, 50), but
- adding a parity check bit [i] would yield OA(295, 100, S2, 51), but
- the (dual) Plotkin bound shows that M ≥ 633825 300114 114700 748351 602688 / 13 > 295 [i]
- adding a parity check bit [i] would yield OA(295, 100, S2, 51), 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.