Information on Result #598994
There is no digital (41, 107, 199)-net over F3, because extracting embedded orthogonal array would yield linear OA(3107, 199, F3, 66) (dual of [199, 92, 67]-code), but
- construction Y1 [i] would yield
- OA(3106, 143, S3, 66), but
- the linear programming bound shows that M ≥ 50584 630946 042848 451389 778465 029449 231952 748470 489372 922254 899547 818597 / 106 273880 037977 292025 > 3106 [i]
- OA(392, 199, S3, 56), but
- discarding factors would yield OA(392, 150, S3, 56), but
- the linear programming bound shows that M ≥ 380 530607 134695 199590 326105 296054 561976 304500 746203 230842 591578 312022 091639 435706 399387 387663 092379 / 4 623519 949937 639772 321756 933595 131069 999192 578955 859375 > 392 [i]
- discarding factors would yield OA(392, 150, S3, 56), but
- OA(3106, 143, S3, 66), 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.