Information on Result #3148497
There is no digital (44, 159, 275)-net over F4, because 3 times m-reduction would yield digital (44, 156, 275)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4156, 275, F4, 112) (dual of [275, 119, 113]-code), but
- residual code [i] would yield OA(444, 162, S4, 28), but
- the linear programming bound shows that M ≥ 69649 289710 882486 539188 729039 118872 574721 050141 523968 / 222 535516 159810 724394 190313 > 444 [i]
- residual code [i] would yield OA(444, 162, S4, 28), 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.