Information on Result #3142028
There is no digital (73, 164, 157)-net over F2, because 15 times m-reduction would yield digital (73, 149, 157)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2149, 157, F2, 76) (dual of [157, 8, 77]-code), but
- residual code [i] would yield linear OA(273, 80, F2, 38) (dual of [80, 7, 39]-code), but
- residual code [i] would yield linear OA(235, 41, F2, 19) (dual of [41, 6, 20]-code), but
- 1 times truncation [i] would yield linear OA(234, 40, F2, 18) (dual of [40, 6, 19]-code), but
- residual code [i] would yield linear OA(235, 41, F2, 19) (dual of [41, 6, 20]-code), but
- residual code [i] would yield linear OA(273, 80, F2, 38) (dual of [80, 7, 39]-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.