Information on Result #3149840
There is no digital (65, 254, 282)-net over F4, because 1 times m-reduction would yield digital (65, 253, 282)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4253, 282, F4, 188) (dual of [282, 29, 189]-code), but
- residual code [i] would yield OA(465, 93, S4, 47), but
- the linear programming bound shows that M ≥ 21198 797041 584828 156035 107346 290870 848231 815238 299697 545216 / 15 452051 535358 751925 > 465 [i]
- residual code [i] would yield OA(465, 93, S4, 47), 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.