Information on Result #3146889
There is no digital (87, 245, 372)-net over F3, because 2 times m-reduction would yield digital (87, 243, 372)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3243, 372, F3, 156) (dual of [372, 129, 157]-code), but
- residual code [i] would yield linear OA(387, 215, F3, 52) (dual of [215, 128, 53]-code), but
- the Johnson bound shows that N ≤ 11 307865 685880 246142 774871 856086 316274 707673 744713 882597 679605 < 3128 [i]
- residual code [i] would yield linear OA(387, 215, F3, 52) (dual of [215, 128, 53]-code), 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.