Information on Result #3149357
There is no digital (55, 202, 309)-net over F4, because 3 times m-reduction would yield digital (55, 199, 309)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4199, 309, F4, 144) (dual of [309, 110, 145]-code), but
- residual code [i] would yield OA(455, 164, S4, 36), but
- the linear programming bound shows that M ≥ 980 201801 606598 702017 212850 515741 792418 086779 414793 869747 648944 529897 580134 400000 / 752717 700220 343776 849584 966340 992475 812762 611911 > 455 [i]
- residual code [i] would yield OA(455, 164, S4, 36), 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.