Information on Result #3149974
There is no digital (72, 259, 408)-net over F4, because 3 times m-reduction would yield digital (72, 256, 408)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4256, 408, F4, 184) (dual of [408, 152, 185]-code), but
- residual code [i] would yield OA(472, 223, S4, 46), but
- the linear programming bound shows that M ≥ 360 417143 929919 650649 839526 859205 286331 400168 894487 479850 253672 313831 388847 004885 511580 359694 158397 440000 000000 / 15 992885 341550 871668 440406 576991 261654 953271 872698 021682 171330 664199 > 472 [i]
- residual code [i] would yield OA(472, 223, S4, 46), 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.