Information on Result #598503
There is no digital (4, 8, 18)-net over F2, because extracting embedded orthogonal array would yield linear OA(28, 18, F2, 4) (dual of [18, 10, 5]-code), but
- construction Y1 [i] would yield
- linear OA(27, 12, F2, 4) (dual of [12, 5, 5]-code), but
- OA(210, 18, S2, 6), but
- discarding factors would yield OA(210, 16, S2, 6), but
- the linear programming bound shows that M ≥ 27136 / 21 > 210 [i]
- discarding factors would yield OA(210, 16, S2, 6), 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.