Information on Result #3152950
There is no digital (2, 41, 51)-net over F16, because 7 times m-reduction would yield digital (2, 34, 51)-net over F16, but
- extracting embedded orthogonal array [i] would yield linear OA(1634, 51, F16, 32) (dual of [51, 17, 33]-code), but
- residual code [i] would yield OA(162, 18, S16, 2), but
- bound for OAs with strength k = 2 [i]
- the Rao or (dual) Hamming bound shows that M ≥ 271 > 162 [i]
- residual code [i] would yield OA(162, 18, S16, 2), but
Mode: Bound (linear).
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.