Information on Result #3023411
There is no (55, 118, 121)-net in base 2, because 3 times m-reduction would yield (55, 115, 121)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2115, 121, S2, 60), but
- adding a parity check bit [i] would yield OA(2116, 122, S2, 61), but
- the (dual) Plotkin bound shows that M ≥ 2 658455 991569 831745 807614 120560 689152 / 31 > 2116 [i]
- adding a parity check bit [i] would yield OA(2116, 122, S2, 61), 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.