Information on Result #599290
There is no digital (83, 233, 353)-net over F3, because extracting embedded orthogonal array 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]
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (83, 234, 353)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (83, 235, 353)-net over F3 | [i] | ||