Information on Result #599113
There is no digital (61, 163, 279)-net over F3, because extracting embedded orthogonal array would yield linear OA(3163, 279, F3, 102) (dual of [279, 116, 103]-code), but
- residual code [i] would yield OA(361, 176, S3, 34), but
- the linear programming bound shows that M ≥ 812 356626 791711 438639 003017 318488 339021 708011 289038 629210 828125 / 5801 809430 490682 982977 100374 687357 > 361 [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 (61, 164, 279)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (61, 165, 279)-net over F3 | [i] | ||