Information on Result #546883
There is no linear OA(3213, 267, F3, 138) (dual of [267, 54, 139]-code), because residual code 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(3214, 268, F3, 139) (dual of [268, 54, 140]-code) | [i] | Truncation | |
| 2 | No linear OA(3215, 269, F3, 140) (dual of [269, 54, 141]-code) | [i] | ||
| 3 | No linear OOA(3214, 267, F3, 2, 139) (dual of [(267, 2), 320, 140]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3215, 267, F3, 2, 140) (dual of [(267, 2), 319, 141]-NRT-code) | [i] | ||
| 5 | No linear OOA(3213, 267, F3, 2, 138) (dual of [(267, 2), 321, 139]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3213, 267, F3, 3, 138) (dual of [(267, 3), 588, 139]-NRT-code) | [i] | ||
| 7 | No linear OOA(3213, 267, F3, 4, 138) (dual of [(267, 4), 855, 139]-NRT-code) | [i] | ||
| 8 | No linear OOA(3213, 267, F3, 5, 138) (dual of [(267, 5), 1122, 139]-NRT-code) | [i] | ||
| 9 | No digital (75, 213, 267)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |