Information on Result #3146506
There is no digital (72, 208, 246)-net over F3, because 1 times m-reduction would yield digital (72, 207, 246)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3207, 246, F3, 135) (dual of [246, 39, 136]-code), but
- residual code [i] would yield OA(372, 110, S3, 45), but
- the linear programming bound shows that M ≥ 64 998937 666603 510979 018914 096721 964570 585523 728699 690213 148443 / 2635 072862 103122 792036 068099 > 372 [i]
- residual code [i] would yield OA(372, 110, S3, 45), 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.