Information on Result #3145284
There is no digital (55, 162, 193)-net over F3, because 2 times m-reduction would yield digital (55, 160, 193)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3160, 193, F3, 105) (dual of [193, 33, 106]-code), but
- residual code [i] would yield OA(355, 87, S3, 35), but
- the linear programming bound shows that M ≥ 4 080243 847169 139626 292321 742040 788787 487274 687791 / 20316 463038 499354 974208 > 355 [i]
- residual code [i] would yield OA(355, 87, S3, 35), 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.