Information on Result #599158
There is no digital (66, 189, 236)-net over F3, because extracting embedded orthogonal array would yield linear OA(3189, 236, F3, 123) (dual of [236, 47, 124]-code), but
- residual code [i] would yield OA(366, 112, S3, 41), but
- the linear programming bound shows that M ≥ 2 205450 991152 037887 110312 460000 695173 586277 462145 772188 035973 400341 003679 931330 959040 941975 977662 936305 383695 760833 / 59412 964566 920537 132921 376858 809704 483274 406706 974380 628937 872880 712941 577778 621185 > 366 [i]
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (66, 190, 236)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (66, 191, 236)-net over F3 | [i] | ||