Information on Result #3143108
There is no digital (125, 252, 264)-net over F2, because 1 times m-reduction would yield digital (125, 251, 264)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2251, 264, F2, 126) (dual of [264, 13, 127]-code), but
- residual code [i] would yield OA(2125, 137, S2, 63), but
- 1 times truncation [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]
- 1 times truncation [i] would yield OA(2124, 136, S2, 62), but
- residual code [i] would yield OA(2125, 137, S2, 63), 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.