Information on Result #3143093
There is no digital (124, 249, 261)-net over F2, because 1 times m-reduction would yield digital (124, 248, 261)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2248, 261, F2, 124) (dual of [261, 13, 125]-code), but
- residual code [i] would yield OA(2124, 136, S2, 62), but
- the linear programming bound shows that M ≥ 17949 894855 079503 947693 010542 025773 154304 / 703 > 2124 [i]
- residual code [i] would yield OA(2124, 136, S2, 62), 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.