Information on Result #3147942
There is no digital (39, 136, 261)-net over F4, because 1 times m-reduction would yield digital (39, 135, 261)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4135, 261, F4, 96) (dual of [261, 126, 97]-code), but
- residual code [i] would yield OA(439, 164, S4, 24), but
- the linear programming bound shows that M ≥ 253 017119 292002 552737 316772 682392 509261 807616 / 821 395315 909793 005123 > 439 [i]
- residual code [i] would yield OA(439, 164, S4, 24), 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.