Information on Result #598952
There is no digital (14, 41, 55)-net over F3, because extracting embedded orthogonal array would yield linear OA(341, 55, F3, 27) (dual of [55, 14, 28]-code), but
- construction Y1 [i] would yield
- linear OA(340, 47, F3, 27) (dual of [47, 7, 28]-code), but
- construction Y1 [i] would yield
- linear OA(339, 43, F3, 27) (dual of [43, 4, 28]-code), but
- OA(37, 47, S3, 4), but
- discarding factors would yield OA(37, 34, S3, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 2313 > 37 [i]
- discarding factors would yield OA(37, 34, S3, 4), but
- construction Y1 [i] would yield
- OA(314, 55, S3, 8), but
- discarding factors would yield OA(314, 53, S3, 8), but
- the Rao or (dual) Hamming bound shows that M ≥ 4 878227 > 314 [i]
- discarding factors would yield OA(314, 53, S3, 8), but
- linear OA(340, 47, F3, 27) (dual of [47, 7, 28]-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.