Information on Result #599117
There is no digital (61, 175, 219)-net over F3, because extracting embedded orthogonal array would yield linear OA(3175, 219, F3, 114) (dual of [219, 44, 115]-code), but
- residual code [i] would yield OA(361, 104, S3, 38), but
- the linear programming bound shows that M ≥ 215738 553867 294765 547315 427144 658478 953384 447876 816406 609237 390217 341335 785320 530901 097095 689610 364315 585436 148743 / 1 653900 488288 762417 441699 879030 043019 631369 903205 462657 103479 100855 831115 771782 746875 > 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, 176, 219)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (61, 177, 219)-net over F3 | [i] | ||