Information on Result #3028588
There is no (97, 216, 207)-net in base 2, because 15 times m-reduction would yield (97, 201, 207)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2201, 207, S2, 104), but
- adding a parity check bit [i] would yield OA(2202, 208, S2, 105), but
- the (dual) Plotkin bound shows that M ≥ 411 376139 330301 510538 742295 639337 626245 683966 408394 965837 152256 / 53 > 2202 [i]
- adding a parity check bit [i] would yield OA(2202, 208, S2, 105), 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.