Information on Result #599316
There is no digital (87, 237, 389)-net over F3, because extracting embedded orthogonal array would yield linear OA(3237, 389, F3, 150) (dual of [389, 152, 151]-code), but
- residual code [i] would yield linear OA(387, 238, F3, 50) (dual of [238, 151, 51]-code), but
- the Johnson bound shows that N ≤ 1 109935 900942 577097 815120 032765 202024 203565 946556 215381 480293 664347 835582 < 3151 [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 (87, 238, 389)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (87, 239, 389)-net over F3 | [i] | ||