Information on Result #3149546
There is no digital (58, 228, 257)-net over F4, because 2 times m-reduction would yield digital (58, 226, 257)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4226, 257, F4, 168) (dual of [257, 31, 169]-code), but
- residual code [i] would yield OA(458, 88, S4, 42), but
- the linear programming bound shows that M ≥ 158 237175 107336 529531 271038 987459 138072 539269 830656 314178 535424 / 1500 577564 280935 407980 323611 > 458 [i]
- residual code [i] would yield OA(458, 88, S4, 42), 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.