Information on Result #3152824
There is no digital (19, 147, 293)-net over F9, because 2 times m-reduction would yield digital (19, 145, 293)-net over F9, but
- extracting embedded orthogonal array [i] would yield linear OA(9145, 293, F9, 126) (dual of [293, 148, 127]-code), but
- residual code [i] would yield OA(919, 166, S9, 14), but
- the linear programming bound shows that M ≥ 5 635433 437532 802732 976253 071875 / 4 113530 240531 > 919 [i]
- residual code [i] would yield OA(919, 166, S9, 14), 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.