Information on Result #3152226
There is no digital (2, 24, 30)-net over F9, because 4 times m-reduction would yield digital (2, 20, 30)-net over F9, but
- extracting embedded orthogonal array [i] would yield linear OA(920, 30, F9, 18) (dual of [30, 10, 19]-code), but
- residual code [i] would yield OA(92, 11, S9, 2), but
- bound for OAs with strength k = 2 [i]
- the Rao or (dual) Hamming bound shows that M ≥ 89 > 92 [i]
- residual code [i] would yield OA(92, 11, S9, 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.