Information on Result #3148956
There is no digital (49, 191, 236)-net over F4, because 2 times m-reduction would yield digital (49, 189, 236)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4189, 236, F4, 140) (dual of [236, 47, 141]-code), but
- residual code [i] would yield OA(449, 95, S4, 35), but
- the linear programming bound shows that M ≥ 41192 474812 375713 789000 699456 975821 961965 744513 198426 307979 395590 830886 737800 969827 312304 732817 560215 797035 362301 689741 847926 242075 544191 768132 126714 956760 481792 / 121742 667562 520763 956640 695430 713637 859834 747719 323855 290261 057074 960416 613540 339354 221353 298210 726466 255682 521963 771033 504571 810965 > 449 [i]
- residual code [i] would yield OA(449, 95, S4, 35), 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.