Information on Result #3022770
There is no (51, 113, 113)-net in base 2, because 6 times m-reduction would yield (51, 107, 113)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2107, 113, S2, 56), but
- adding a parity check bit [i] would yield OA(2108, 114, S2, 57), but
- the (dual) Plotkin bound shows that M ≥ 10384 593717 069655 257060 992658 440192 / 29 > 2108 [i]
- adding a parity check bit [i] would yield OA(2108, 114, S2, 57), 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.