Information on Result #3020680
There is no (39, 88, 88)-net in base 2, because 5 times m-reduction would yield (39, 83, 88)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(283, 88, S2, 44), but
- adding a parity check bit [i] would yield OA(284, 89, S2, 45), but
- the (dual) Plotkin bound shows that M ≥ 464 227514 732017 603087 171584 / 23 > 284 [i]
- adding a parity check bit [i] would yield OA(284, 89, S2, 45), 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.