Information on Result #3149811
There is no digital (64, 255, 271)-net over F4, because 3 times m-reduction would yield digital (64, 252, 271)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4252, 271, F4, 188) (dual of [271, 19, 189]-code), but
- residual code [i] would yield OA(464, 82, S4, 47), but
- the linear programming bound shows that M ≥ 42 906360 577844 236924 181238 144026 607595 077872 123904 / 112185 734375 > 464 [i]
- residual code [i] would yield OA(464, 82, S4, 47), 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.