Information on Result #598917
There is no digital (4, 10, 28)-net over F3, because extracting embedded orthogonal array would yield linear OA(310, 28, F3, 6) (dual of [28, 18, 7]-code), but
- construction Y1 [i] would yield
- linear OA(39, 16, F3, 6) (dual of [16, 7, 7]-code), but
- “vE2†bound on codes from Brouwer’s database [i]
- linear OA(318, 28, F3, 12) (dual of [28, 10, 13]-code), but
- residual code [i] would yield linear OA(36, 15, F3, 4) (dual of [15, 9, 5]-code), but
- “vE2†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(36, 15, F3, 4) (dual of [15, 9, 5]-code), but
- linear OA(39, 16, F3, 6) (dual of [16, 7, 7]-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.