Information on Result #3022434
There is no (49, 105, 109)-net in base 2, because 2 times m-reduction would yield (49, 103, 109)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2103, 109, S2, 54), but
- adding a parity check bit [i] would yield OA(2104, 110, S2, 55), but
- the (dual) Plotkin bound shows that M ≥ 162 259276 829213 363391 578010 288128 / 7 > 2104 [i]
- adding a parity check bit [i] would yield OA(2104, 110, S2, 55), 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.