Information on Result #3027298
There is no (84, 179, 180)-net in base 2, because 5 times m-reduction would yield (84, 174, 180)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2174, 180, S2, 90), but
- adding a parity check bit [i] would yield OA(2175, 181, S2, 91), but
- the (dual) Plotkin bound shows that M ≥ 1 149371 655649 416643 768760 270362 731887 714054 341637 701632 / 23 > 2175 [i]
- adding a parity check bit [i] would yield OA(2175, 181, S2, 91), 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.