Information on Result #3149293
There is no digital (54, 200, 293)-net over F4, because 2 times m-reduction would yield digital (54, 198, 293)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4198, 293, F4, 144) (dual of [293, 95, 145]-code), but
- residual code [i] would yield OA(454, 148, S4, 36), but
- the linear programming bound shows that M ≥ 360 104803 308131 437253 911585 010681 444562 627305 886362 911504 773250 289965 509640 192000 / 1 033080 609162 065310 926475 587063 900861 412950 368521 > 454 [i]
- residual code [i] would yield OA(454, 148, S4, 36), 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.