Information on Result #3149955
There is no digital (71, 246, 454)-net over F4, because 3 times m-reduction would yield digital (71, 243, 454)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4243, 454, F4, 172) (dual of [454, 211, 173]-code), but
- residual code [i] would yield OA(471, 281, S4, 43), but
- the linear programming bound shows that M ≥ 373 183646 729416 144099 480364 087718 649481 545879 174441 862191 129687 019685 715860 929497 289195 520000 / 66 442053 478467 341276 388448 356669 192467 605369 216717 > 471 [i]
- residual code [i] would yield OA(471, 281, S4, 43), 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.