Information on Result #3149736
There is no digital (62, 245, 269)-net over F4, because 3 times m-reduction would yield digital (62, 242, 269)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4242, 269, F4, 180) (dual of [269, 27, 181]-code), but
- residual code [i] would yield OA(462, 88, S4, 45), but
- the linear programming bound shows that M ≥ 1 115878 796922 411753 730265 232586 868317 882698 851925 622784 / 45512 145087 655961 > 462 [i]
- residual code [i] would yield OA(462, 88, S4, 45), 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.