Information on Result #3149877
There is no digital (67, 234, 422)-net over F4, because 3 times m-reduction would yield digital (67, 231, 422)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4231, 422, F4, 164) (dual of [422, 191, 165]-code), but
- residual code [i] would yield OA(467, 257, S4, 41), but
- the linear programming bound shows that M ≥ 188282 701092 137183 285392 695738 133645 870848 581784 362420 528688 778251 423906 057085 255680 / 8 301637 427320 826521 830664 836391 530003 316903 > 467 [i]
- residual code [i] would yield OA(467, 257, S4, 41), 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.