Information on Result #546857
There is no linear OA(3207, 246, F3, 135) (dual of [246, 39, 136]-code), because residual code would yield OA(372, 110, S3, 45), but
- the linear programming bound shows that M ≥ 64 998937 666603 510979 018914 096721 964570 585523 728699 690213 148443 / 2635 072862 103122 792036 068099 > 372 [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, 247, F3, 136) (dual of [247, 39, 137]-code) | [i] | Truncation | |
| 2 | No linear OA(3209, 248, F3, 137) (dual of [248, 39, 138]-code) | [i] | ||
| 3 | No linear OOA(3208, 246, F3, 2, 136) (dual of [(246, 2), 284, 137]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3209, 246, F3, 2, 137) (dual of [(246, 2), 283, 138]-NRT-code) | [i] | ||
| 5 | No linear OOA(3207, 246, F3, 2, 135) (dual of [(246, 2), 285, 136]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3207, 246, F3, 3, 135) (dual of [(246, 3), 531, 136]-NRT-code) | [i] | ||
| 7 | No linear OOA(3207, 246, F3, 4, 135) (dual of [(246, 4), 777, 136]-NRT-code) | [i] | ||
| 8 | No linear OOA(3207, 246, F3, 5, 135) (dual of [(246, 5), 1023, 136]-NRT-code) | [i] | ||
| 9 | No digital (72, 207, 246)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |