Information on Result #3146714
There is no digital (78, 212, 348)-net over F3, because 2 times m-reduction would yield digital (78, 210, 348)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3210, 348, F3, 132) (dual of [348, 138, 133]-code), but
- residual code [i] would yield OA(378, 215, S3, 44), but
- 2 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]
- 2 times truncation [i] would yield OA(376, 213, S3, 42), but
- residual code [i] would yield OA(378, 215, S3, 44), 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
None.