Information on Result #3148947
There is no digital (49, 179, 280)-net over F4, because 2 times m-reduction would yield digital (49, 177, 280)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4177, 280, F4, 128) (dual of [280, 103, 129]-code), but
- residual code [i] would yield OA(449, 151, S4, 32), but
- the linear programming bound shows that M ≥ 28908 417155 266819 172783 356339 651309 699143 092571 152828 568541 593600 / 87522 688470 852015 944529 921026 991367 > 449 [i]
- residual code [i] would yield OA(449, 151, S4, 32), 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.