Information on Result #3023096
There is no (53, 118, 117)-net in base 2, because 7 times m-reduction would yield (53, 111, 117)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2111, 117, S2, 58), but
- adding a parity check bit [i] would yield OA(2112, 118, S2, 59), but
- the (dual) Plotkin bound shows that M ≥ 83076 749736 557242 056487 941267 521536 / 15 > 2112 [i]
- adding a parity check bit [i] would yield OA(2112, 118, S2, 59), 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.