Information on Result #3148186
There is no digital (41, 160, 209)-net over F4, because 3 times m-reduction would yield digital (41, 157, 209)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4157, 209, F4, 116) (dual of [209, 52, 117]-code), but
- residual code [i] would yield OA(441, 92, S4, 29), but
- the linear programming bound shows that M ≥ 8291 138749 676505 103841 959950 541753 992228 411787 128227 036594 724129 251790 946304 / 1649 446049 086149 969896 114658 918272 865279 146667 501047 > 441 [i]
- residual code [i] would yield OA(441, 92, S4, 29), 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.