Information on Result #3143141
There is no digital (128, 255, 271)-net over F2, because 3 times m-reduction would yield digital (128, 252, 271)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2252, 271, F2, 124) (dual of [271, 19, 125]-code), but
- residual code [i] would yield OA(2128, 146, S2, 62), but
- the linear programming bound shows that M ≥ 10 546031 115613 724859 656905 833525 360409 444352 / 30229 > 2128 [i]
- residual code [i] would yield OA(2128, 146, 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.