Information on Result #3027080
There is no (82, 177, 176)-net in base 2, because 7 times m-reduction would yield (82, 170, 176)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2170, 176, S2, 88), but
- adding a parity check bit [i] would yield OA(2171, 177, S2, 89), but
- the (dual) Plotkin bound shows that M ≥ 47890 485652 059026 823698 344598 447161 988085 597568 237568 / 15 > 2171 [i]
- adding a parity check bit [i] would yield OA(2171, 177, S2, 89), 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.