Information on Result #599130
There is no digital (63, 171, 271)-net over F3, because extracting embedded orthogonal array would yield linear OA(3171, 271, F3, 108) (dual of [271, 100, 109]-code), but
- residual code [i] would yield OA(363, 162, S3, 36), but
- the linear programming bound shows that M ≥ 30537 376444 154082 792008 033056 093457 463995 561684 102574 748326 099431 937479 049865 570539 909893 549089 121176 962447 114240 / 24160 878961 702993 374371 377103 187944 861163 361489 184695 568441 973584 234745 463135 533607 > 363 [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 (63, 172, 271)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (63, 173, 271)-net over F3 | [i] | ||