Information on Result #3117954
There is no (1, 81, 53)-net in base 25, because 30 times m-reduction would yield (1, 51, 53)-net in base 25, but
- extracting embedded orthogonal array [i] would yield OA(2551, 53, S25, 50), but
- the (dual) Plotkin bound shows that M ≥ 4 930380 657631 323783 823303 533017 413935 457540 219431 393779 814243 316650 390625 / 17 > 2551 [i]
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.