Information on Result #3022268
There is no (48, 105, 107)-net in base 2, because 3 times m-reduction would yield (48, 102, 107)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2102, 107, S2, 54), but
- adding a parity check bit [i] would yield OA(2103, 108, S2, 55), but
- the (dual) Plotkin bound shows that M ≥ 81 129638 414606 681695 789005 144064 / 7 > 2103 [i]
- adding a parity check bit [i] would yield OA(2103, 108, 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.