Information on Result #599252
There is no digital (79, 214, 352)-net over F3, because extracting embedded orthogonal array would yield linear OA(3214, 352, F3, 135) (dual of [352, 138, 136]-code), but
- residual code [i] would yield OA(379, 216, S3, 45), but
- 3 times truncation [i] would yield OA(376, 213, S3, 42), but
- the linear programming bound shows that M ≥ 24139 354386 854363 147378 476124 618112 504428 827791 667688 382538 767752 602863 057296 834401 801307 804700 / 12846 980782 406505 841743 696059 469546 157683 736221 588601 551817 > 376 [i]
- 3 times truncation [i] would yield OA(376, 213, 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, 215, 352)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (79, 216, 352)-net over F3 | [i] | ||