Information on Result #3023256
There is no (54, 119, 119)-net in base 2, because 5 times m-reduction would yield (54, 114, 119)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2114, 119, S2, 60), but
- adding a parity check bit [i] would yield OA(2115, 120, S2, 61), but
- the (dual) Plotkin bound shows that M ≥ 1 329227 995784 915872 903807 060280 344576 / 31 > 2115 [i]
- adding a parity check bit [i] would yield OA(2115, 120, 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.