Information on Result #599315
There is no digital (86, 248, 281)-net over F3, because extracting embedded orthogonal array would yield linear OA(3248, 281, F3, 162) (dual of [281, 33, 163]-code), but
- residual code [i] would yield OA(386, 118, S3, 54), but
- the linear programming bound shows that M ≥ 45701 949395 937920 998380 846258 431667 611949 437892 667647 676231 147527 / 421027 592046 440957 546375 > 386 [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 (86, 249, 281)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (86, 250, 281)-net over F3 | [i] | ||