Information on Result #3141744
There is no digital (58, 107, 171)-net over F2, because 1 times m-reduction would yield digital (58, 106, 171)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2106, 171, F2, 48) (dual of [171, 65, 49]-code), but
- construction Y1 [i] would yield
- OA(2105, 145, S2, 48), but
- the linear programming bound shows that M ≥ 727 070369 678229 731686 401086 929362 121333 407744 / 17 521374 765895 > 2105 [i]
- OA(265, 171, S2, 26), but
- discarding factors would yield OA(265, 170, S2, 26), but
- the linear programming bound shows that M ≥ 15890 939443 762705 189763 180081 227518 381108 756480 / 413 412834 411090 648392 969149 > 265 [i]
- discarding factors would yield OA(265, 170, S2, 26), but
- OA(2105, 145, S2, 48), but
- construction Y1 [i] would yield
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.