Information on Result #3149301
There is no digital (54, 211, 245)-net over F4, because 1 times m-reduction would yield digital (54, 210, 245)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4210, 245, F4, 156) (dual of [245, 35, 157]-code), but
- residual code [i] would yield OA(454, 88, S4, 39), but
- the linear programming bound shows that M ≥ 388 306151 532706 712327 958115 613049 308256 005391 927015 697876 516864 / 1 038662 238351 660386 161900 190625 > 454 [i]
- residual code [i] would yield OA(454, 88, S4, 39), 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.