Information on Result #3149697
There is no digital (61, 244, 258)-net over F4, because 3 times m-reduction would yield digital (61, 241, 258)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4241, 258, F4, 180) (dual of [258, 17, 181]-code), but
- residual code [i] would yield OA(461, 77, S4, 45), but
- the linear programming bound shows that M ≥ 87771 116150 262149 392012 316054 470316 656445 882368 / 16226 709967 > 461 [i]
- residual code [i] would yield OA(461, 77, S4, 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.