Information on Result #3027928
There is no (90, 200, 193)-net in base 2, because 14 times m-reduction would yield (90, 186, 193)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2186, 193, S2, 96), but
- adding a parity check bit [i] would yield OA(2187, 194, S2, 97), but
- the (dual) Plotkin bound shows that M ≥ 12554 203470 773361 527671 578846 415332 832204 710888 928069 025792 / 49 > 2187 [i]
- adding a parity check bit [i] would yield OA(2187, 194, S2, 97), 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.