Information on Result #3146361
There is no digital (69, 209, 219)-net over F3, because 2 times m-reduction would yield digital (69, 207, 219)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3207, 219, F3, 138) (dual of [219, 12, 139]-code), but
- residual code [i] would yield OA(369, 80, S3, 46), but
- the linear programming bound shows that M ≥ 904 357542 932493 278414 499056 136998 127663 / 977647 > 369 [i]
- residual code [i] would yield OA(369, 80, S3, 46), 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.