Information on Result #546731
There is no linear OA(3175, 219, F3, 114) (dual of [219, 44, 115]-code), because residual code 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(3176, 220, F3, 115) (dual of [220, 44, 116]-code) | [i] | Truncation | |
| 2 | No linear OA(3177, 221, F3, 116) (dual of [221, 44, 117]-code) | [i] | ||
| 3 | No linear OOA(3176, 219, F3, 2, 115) (dual of [(219, 2), 262, 116]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3177, 219, F3, 2, 116) (dual of [(219, 2), 261, 117]-NRT-code) | [i] | ||
| 5 | No linear OOA(3175, 219, F3, 2, 114) (dual of [(219, 2), 263, 115]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3175, 219, F3, 3, 114) (dual of [(219, 3), 482, 115]-NRT-code) | [i] | ||
| 7 | No linear OOA(3175, 219, F3, 4, 114) (dual of [(219, 4), 701, 115]-NRT-code) | [i] | ||
| 8 | No linear OOA(3175, 219, F3, 5, 114) (dual of [(219, 5), 920, 115]-NRT-code) | [i] | ||
| 9 | No digital (61, 175, 219)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |