Information on Result #3146705
There is no digital (77, 245, 242)-net over F3, because 12 times m-reduction would yield digital (77, 233, 242)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3233, 242, F3, 156) (dual of [242, 9, 157]-code), but
- residual code [i] would yield OA(377, 85, S3, 52), but
- the linear programming bound shows that M ≥ 626561 627887 412368 936876 728064 858798 530639 / 100223 > 377 [i]
- residual code [i] would yield OA(377, 85, S3, 52), 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.