Information on Result #3146807
There is no digital (81, 239, 260)-net over F3, because 2 times m-reduction would yield digital (81, 237, 260)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3237, 260, F3, 156) (dual of [260, 23, 157]-code), but
- residual code [i] would yield OA(381, 103, S3, 52), but
- the linear programming bound shows that M ≥ 1648 634351 113215 149715 784496 019469 628928 501125 836083 / 3 036794 593547 > 381 [i]
- residual code [i] would yield OA(381, 103, 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.