Information on Result #3149816
There is no digital (65, 222, 434)-net over F4, because 1 times m-reduction would yield digital (65, 221, 434)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4221, 434, F4, 156) (dual of [434, 213, 157]-code), but
- residual code [i] would yield OA(465, 277, S4, 39), but
- the linear programming bound shows that M ≥ 114860 870016 374579 218653 717961 476899 219304 784975 141224 743527 918706 993971 303087 603712 / 81 574206 852274 374488 234675 560995 174637 976327 > 465 [i]
- residual code [i] would yield OA(465, 277, S4, 39), 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.