Information on Result #546817
There is no linear OA(3207, 359, F3, 129) (dual of [359, 152, 130]-code), because residual code would yield OA(378, 229, S3, 43), but
- 1 times truncation [i] would yield OA(377, 228, S3, 42), but
- the linear programming bound shows that M ≥ 5912 215514 524704 110906 945136 883000 212719 987869 884535 855049 744419 389403 700722 336619 158801 044684 / 1072 032675 663595 149019 556086 689047 982002 296477 532875 566121 > 377 [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(3208, 360, F3, 130) (dual of [360, 152, 131]-code) | [i] | Truncation | |
| 2 | No linear OA(3209, 361, F3, 131) (dual of [361, 152, 132]-code) | [i] | ||
| 3 | No linear OOA(3208, 359, F3, 2, 130) (dual of [(359, 2), 510, 131]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3209, 359, F3, 2, 131) (dual of [(359, 2), 509, 132]-NRT-code) | [i] | ||
| 5 | No linear OOA(3207, 359, F3, 2, 129) (dual of [(359, 2), 511, 130]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3207, 359, F3, 3, 129) (dual of [(359, 3), 870, 130]-NRT-code) | [i] | ||
| 7 | No linear OOA(3207, 359, F3, 4, 129) (dual of [(359, 4), 1229, 130]-NRT-code) | [i] | ||
| 8 | No linear OOA(3207, 359, F3, 5, 129) (dual of [(359, 5), 1588, 130]-NRT-code) | [i] | ||
| 9 | No digital (78, 207, 359)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |