Information on Result #3145561
There is no digital (58, 168, 212)-net over F3, because 2 times m-reduction would yield digital (58, 166, 212)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3166, 212, F3, 108) (dual of [212, 46, 109]-code), but
- residual code [i] would yield OA(358, 103, S3, 36), but
- the linear programming bound shows that M ≥ 10156 978991 001331 162956 096121 250957 052835 549981 966253 500685 908151 917037 752938 447734 452120 610565 247729 783614 274683 456708 473505 647028 881750 777661 / 2 150100 658067 421186 781820 643305 293437 760326 405421 945649 628834 598190 514781 560026 381075 663150 228993 281922 344503 352960 > 358 [i]
- residual code [i] would yield OA(358, 103, S3, 36), 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.