Information on Result #599470
There is no digital (46, 166, 266)-net over F4, because extracting embedded orthogonal array would yield linear OA(4166, 266, F4, 120) (dual of [266, 100, 121]-code), but
- residual code [i] would yield OA(446, 145, S4, 30), but
- the linear programming bound shows that M ≥ 67570 833102 995435 189154 918165 006684 183730 537222 427901 952000 / 12 430956 877721 758752 328944 450373 > 446 [i]
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (46, 167, 266)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (46, 168, 266)-net over F4 | [i] | ||
| 3 | No digital (46, 169, 266)-net over F4 | [i] | ||