Information on Result #599001
There is no digital (45, 119, 187)-net over F3, because extracting embedded orthogonal array would yield linear OA(3119, 187, F3, 74) (dual of [187, 68, 75]-code), but
- construction Y1 [i] would yield
- OA(3118, 149, S3, 74), but
- the linear programming bound shows that M ≥ 14631 013686 142997 953866 980562 476233 047154 143146 692997 967075 486096 911649 489501 / 62 737137 135696 970925 > 3118 [i]
- OA(368, 187, S3, 38), but
- the linear programming bound shows that M ≥ 4 185011 256460 307952 313976 653889 690485 861995 490330 218229 391251 955691 449885 824042 401792 / 14773 934323 743575 783185 881134 593137 934301 575737 911449 > 368 [i]
- OA(3118, 149, S3, 74), 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.