Information on Result #599329
There is no digital (91, 247, 410)-net over F3, because extracting embedded orthogonal array would yield linear OA(3247, 410, F3, 156) (dual of [410, 163, 157]-code), but
- residual code [i] would yield linear OA(391, 253, F3, 52) (dual of [253, 162, 53]-code), but
- the Johnson bound shows that N ≤ 179351 448037 571926 665032 504132 411079 734421 634873 676547 341483 836618 815717 643951 < 3162 [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 (91, 248, 410)-net over F3 | [i] | m-Reduction | |