Information on Result #3149626
There is no digital (60, 206, 409)-net over F4, because 2 times m-reduction would yield digital (60, 204, 409)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4204, 409, F4, 144) (dual of [409, 205, 145]-code), but
- residual code [i] would yield OA(460, 264, S4, 36), but
- the Rao or (dual) Hamming bound shows that M ≥ 1 330238 759813 440605 073984 426950 188656 > 460 [i]
- residual code [i] would yield OA(460, 264, S4, 36), 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.