Information on Result #599698
There is no digital (2, 6, 43)-net over F5, because extracting embedded orthogonal array would yield linear OA(56, 43, F5, 4) (dual of [43, 37, 5]-code), but
- construction Y1 [i] would yield
- linear OA(55, 13, F5, 4) (dual of [13, 8, 5]-code), but
- “Bou†bound on codes from Brouwer’s database [i]
- linear OA(537, 43, F5, 30) (dual of [43, 6, 31]-code), but
- residual code [i] would yield linear OA(57, 12, F5, 6) (dual of [12, 5, 7]-code), but
- linear OA(55, 13, F5, 4) (dual of [13, 8, 5]-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.