Information on Result #3146061
There is no digital (64, 209, 203)-net over F3, because 16 times m-reduction would yield digital (64, 193, 203)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3193, 203, F3, 129) (dual of [203, 10, 130]-code), but
- construction Y1 [i] would yield
- linear OA(3192, 199, F3, 129) (dual of [199, 7, 130]-code), but
- residual code [i] would yield linear OA(363, 69, F3, 43) (dual of [69, 6, 44]-code), but
- OA(310, 203, S3, 4), but
- discarding factors would yield OA(310, 172, S3, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 59169 > 310 [i]
- discarding factors would yield OA(310, 172, S3, 4), but
- linear OA(3192, 199, F3, 129) (dual of [199, 7, 130]-code), but
- construction Y1 [i] would yield
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.