Information on Result #3018960
There is no (30, 67, 70)-net in base 2, because 1 times m-reduction would yield (30, 66, 70)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(266, 70, S2, 36), but
- adding a parity check bit [i] would yield OA(267, 71, S2, 37), but
- the (dual) Plotkin bound shows that M ≥ 2951 479051 793528 258560 / 19 > 267 [i]
- adding a parity check bit [i] would yield OA(267, 71, S2, 37), 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.