Information on Result #3142075
There is no digital (76, 151, 172)-net over F2, because 1 times m-reduction would yield digital (76, 150, 172)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2150, 172, F2, 74) (dual of [172, 22, 75]-code), but
- residual code [i] would yield OA(276, 97, S2, 37), but
- 1 times truncation [i] would yield OA(275, 96, S2, 36), but
- the linear programming bound shows that M ≥ 22708 462595 641194 417680 809984 / 528333 > 275 [i]
- 1 times truncation [i] would yield OA(275, 96, S2, 36), but
- residual code [i] would yield OA(276, 97, S2, 37), 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.