Information on Result #3144776
There is no digital (50, 145, 192)-net over F3, because 2 times m-reduction would yield digital (50, 143, 192)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3143, 192, F3, 93) (dual of [192, 49, 94]-code), but
- residual code [i] would yield OA(350, 98, S3, 31), but
- the linear programming bound shows that M ≥ 10987 648641 013342 145743 173235 372682 266899 084370 827701 912518 996312 526775 125687 859494 241272 685867 404994 948584 725486 672070 814119 485618 889026 285759 139347 500994 272409 764144 107327 485143 / 14936 850860 728382 359380 496865 658716 917486 950067 604982 230925 851448 010473 789047 996877 004044 146341 975545 413487 942444 435229 603540 358524 720271 605160 064554 378035 > 350 [i]
- residual code [i] would yield OA(350, 98, S3, 31), 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.