Information on Result #598996
There is no digital (43, 112, 204)-net over F3, because extracting embedded orthogonal array would yield linear OA(3112, 204, F3, 69) (dual of [204, 92, 70]-code), but
- construction Y1 [i] would yield
- OA(3111, 148, S3, 69), but
- the linear programming bound shows that M ≥ 34269 689678 954827 771722 528323 125817 537099 985988 010230 663767 339699 553771 239936 / 338753 436767 266709 313125 > 3111 [i]
- OA(392, 204, 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(3111, 148, S3, 69), 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.