Information on Result #3141362
There is no digital (21, 42, 54)-net over F2, because 1 times m-reduction would yield digital (21, 41, 54)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(241, 54, F2, 20) (dual of [54, 13, 21]-code), but
- adding a parity check bit [i] would yield linear OA(242, 55, F2, 21) (dual of [55, 13, 22]-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.