Information on Result #599251
There is no digital (79, 211, 363)-net over F3, because extracting embedded orthogonal array would yield linear OA(3211, 363, F3, 132) (dual of [363, 152, 133]-code), but
- residual code [i] would yield OA(379, 230, S3, 44), but
- 2 times truncation [i] would yield OA(377, 228, S3, 42), but
- the linear programming bound shows that M ≥ 5912 215514 524704 110906 945136 883000 212719 987869 884535 855049 744419 389403 700722 336619 158801 044684 / 1072 032675 663595 149019 556086 689047 982002 296477 532875 566121 > 377 [i]
- 2 times truncation [i] would yield OA(377, 228, S3, 42), but
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 (79, 212, 363)-net over F3 | [i] | m-Reduction | |