Information on Result #599305
There is no digital (85, 235, 371)-net over F3, because extracting embedded orthogonal array would yield linear OA(3235, 371, F3, 150) (dual of [371, 136, 151]-code), but
- residual code [i] would yield linear OA(385, 220, F3, 50) (dual of [220, 135, 51]-code), but
- the Johnson bound shows that N ≤ 22905 993227 448745 319194 488151 012424 723463 351500 755461 393112 800141 < 3135 [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 (85, 236, 371)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (85, 237, 371)-net over F3 | [i] | ||