Information on Result #3143036
There is no digital (120, 257, 253)-net over F2, because 17 times m-reduction would yield digital (120, 240, 253)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2240, 253, F2, 120) (dual of [253, 13, 121]-code), but
- residual code [i] would yield OA(2120, 132, S2, 60), but
- the linear programming bound shows that M ≥ 16503 694795 665515 477973 668460 440758 255616 / 10323 > 2120 [i]
- residual code [i] would yield OA(2120, 132, S2, 60), 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.