Information on Result #3146838
There is no digital (83, 234, 353)-net over F3, because 1 times m-reduction would yield digital (83, 233, 353)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3233, 353, F3, 150) (dual of [353, 120, 151]-code), but
- residual code [i] would yield linear OA(383, 202, F3, 50) (dual of [202, 119, 51]-code), but
- the Johnson bound shows that N ≤ 550 972990 432084 950775 442566 323188 109097 170341 593919 868682 < 3119 [i]
- residual code [i] would yield linear OA(383, 202, F3, 50) (dual of [202, 119, 51]-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.