Information on Result #3149580
There is no digital (59, 208, 358)-net over F4, because 1 times m-reduction would yield digital (59, 207, 358)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4207, 358, F4, 148) (dual of [358, 151, 149]-code), but
- residual code [i] would yield OA(459, 209, S4, 37), but
- the linear programming bound shows that M ≥ 3446 699662 509398 967731 365644 377802 984275 634503 925011 721737 994240 000000 000000 / 10213 023598 987442 955247 667333 699389 861739 > 459 [i]
- residual code [i] would yield OA(459, 209, S4, 37), 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.