Information on Result #3148870
There is no digital (48, 182, 251)-net over F4, because 2 times m-reduction would yield digital (48, 180, 251)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4180, 251, F4, 132) (dual of [251, 71, 133]-code), but
- residual code [i] would yield OA(448, 118, S4, 33), but
- the linear programming bound shows that M ≥ 11741 391231 673162 520784 823169 575929 136281 422846 471752 288804 624247 186167 273881 600000 / 141904 351037 772816 847773 975434 784371 947508 137187 747933 > 448 [i]
- residual code [i] would yield OA(448, 118, 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.