Information on Result #3028110
There is no (92, 193, 197)-net in base 2, because 3 times m-reduction would yield (92, 190, 197)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2190, 197, S2, 98), but
- adding a parity check bit [i] would yield OA(2191, 198, S2, 99), but
- the (dual) Plotkin bound shows that M ≥ 100433 627766 186892 221372 630771 322662 657637 687111 424552 206336 / 25 > 2191 [i]
- adding a parity check bit [i] would yield OA(2191, 198, S2, 99), 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.