Information on Result #599114
There is no digital (61, 166, 266)-net over F3, because extracting embedded orthogonal array would yield linear OA(3166, 266, F3, 105) (dual of [266, 100, 106]-code), but
- residual code [i] would yield OA(361, 160, S3, 35), but
- the linear programming bound shows that M ≥ 1093 910277 777742 998768 653454 514500 328731 948244 229348 565648 421721 114272 536195 / 8588 577766 921583 861591 295968 393699 452287 752003 > 361 [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 (61, 167, 266)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (61, 168, 266)-net over F3 | [i] | ||