Information on Result #598949
There is no digital (13, 37, 62)-net over F3, because extracting embedded orthogonal array would yield linear OA(337, 62, F3, 24) (dual of [62, 25, 25]-code), but
- construction Y1 [i] would yield
- linear OA(336, 46, F3, 24) (dual of [46, 10, 25]-code), but
- construction Y1 [i] would yield
- linear OA(335, 40, F3, 24) (dual of [40, 5, 25]-code), but
- “vE1†bound on codes from Brouwer’s database [i]
- OA(310, 46, S3, 6), but
- discarding factors would yield OA(310, 36, S3, 6), but
- the Rao or (dual) Hamming bound shows that M ≥ 59713 > 310 [i]
- discarding factors would yield OA(310, 36, S3, 6), but
- linear OA(335, 40, F3, 24) (dual of [40, 5, 25]-code), but
- construction Y1 [i] would yield
- OA(325, 62, S3, 16), but
- the Rao or (dual) Hamming bound shows that M ≥ 932661 812025 > 325 [i]
- linear OA(336, 46, F3, 24) (dual of [46, 10, 25]-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.