Information on Result #599222
There is no digital (75, 213, 267)-net over F3, because extracting embedded orthogonal array would yield linear OA(3213, 267, F3, 138) (dual of [267, 54, 139]-code), but
- residual code [i] would yield OA(375, 128, S3, 46), but
- the linear programming bound shows that M ≥ 70509 034008 273048 497949 012415 256823 095516 948639 518464 642288 291654 944885 730085 391182 130810 751743 773920 008127 422894 926894 729600 054599 / 107409 815338 072251 071920 212049 180487 610108 565772 602900 313365 362537 798880 614700 874814 997458 059264 > 375 [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 (75, 214, 267)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (75, 215, 267)-net over F3 | [i] | ||