Information on Result #599229
There is no digital (76, 217, 263)-net over F3, because extracting embedded orthogonal array would yield linear OA(3217, 263, F3, 141) (dual of [263, 46, 142]-code), but
- residual code [i] would yield OA(376, 121, S3, 47), but
- the linear programming bound shows that M ≥ 75 330660 326859 483146 711841 769969 417414 924993 897075 238905 711041 253960 166094 / 40 699162 450761 949016 181559 891872 548125 > 376 [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 (76, 218, 263)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (76, 219, 263)-net over F3 | [i] | ||