Information on Result #3147473
There is no digital (18, 108, 81)-net over F4, because 34 times m-reduction would yield digital (18, 74, 81)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(474, 81, F4, 56) (dual of [81, 7, 57]-code), but
- residual code [i] would yield linear OA(418, 24, F4, 14) (dual of [24, 6, 15]-code), but
- “Bou†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(418, 24, F4, 14) (dual of [24, 6, 15]-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.