Information on Result #3146673
There is no digital (76, 240, 239)-net over F3, because 11 times m-reduction would yield digital (76, 229, 239)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3229, 239, F3, 153) (dual of [239, 10, 154]-code), but
- construction Y1 [i] would yield
- linear OA(3228, 235, F3, 153) (dual of [235, 7, 154]-code), but
- residual code [i] would yield linear OA(375, 81, F3, 51) (dual of [81, 6, 52]-code), but
- OA(310, 239, 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(3228, 235, F3, 153) (dual of [235, 7, 154]-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.