Information on Result #3141332
There is no digital (15, 30, 42)-net over F2, because 1 times m-reduction would yield digital (15, 29, 42)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(229, 42, F2, 14) (dual of [42, 13, 15]-code), but
- adding a parity check bit [i] would yield linear OA(230, 43, F2, 15) (dual of [43, 13, 16]-code), 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.