Information on Result #3019934
There is no (35, 79, 80)-net in base 2, because 4 times m-reduction would yield (35, 75, 80)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(275, 80, S2, 40), but
- adding a parity check bit [i] would yield OA(276, 81, S2, 41), but
- the (dual) Plotkin bound shows that M ≥ 604462 909807 314587 353088 / 7 > 276 [i]
- adding a parity check bit [i] would yield OA(276, 81, S2, 41), 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.