Information on Result #3149166
There is no digital (52, 191, 295)-net over F4, because 3 times m-reduction would yield digital (52, 188, 295)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4188, 295, F4, 136) (dual of [295, 107, 137]-code), but
- residual code [i] would yield OA(452, 158, S4, 34), but
- the linear programming bound shows that M ≥ 469 172424 648636 045767 766815 849214 505759 765861 829911 248896 000000 / 22 532998 783661 073340 993241 522503 > 452 [i]
- residual code [i] would yield OA(452, 158, S4, 34), 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.