Information on Result #3148950
There is no digital (49, 183, 265)-net over F4, because 2 times m-reduction would yield digital (49, 181, 265)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4181, 265, F4, 132) (dual of [265, 84, 133]-code), but
- residual code [i] would yield OA(449, 132, S4, 33), but
- the linear programming bound shows that M ≥ 15 114989 228406 347488 033746 516185 463747 303837 999665 881936 924009 037824 000000 / 45 404812 302889 192810 925950 053918 027049 414939 > 449 [i]
- residual code [i] would yield OA(449, 132, S4, 33), 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.