Information on Result #598918
There is no digital (4, 11, 27)-net over F3, because extracting embedded orthogonal array would yield linear OA(311, 27, F3, 7) (dual of [27, 16, 8]-code), but
- construction Y1 [i] would yield
- linear OA(310, 16, F3, 7) (dual of [16, 6, 8]-code), but
- “vE2†bound on codes from Brouwer’s database [i]
- linear OA(316, 27, F3, 11) (dual of [27, 11, 12]-code), but
- discarding factors / shortening the dual code would yield linear OA(316, 24, F3, 11) (dual of [24, 8, 12]-code), but
- linear OA(310, 16, F3, 7) (dual of [16, 6, 8]-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.