Information on Result #547086
There is no linear OA(3249, 265, F3, 165) (dual of [265, 16, 166]-code), because residual code would yield OA(384, 99, S3, 55), but
- the linear programming bound shows that M ≥ 4 602106 814071 993271 061293 737170 927222 039075 353067 / 326 668160 > 384 [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(3250, 266, F3, 166) (dual of [266, 16, 167]-code) | [i] | Truncation | |
| 2 | No linear OOA(3250, 265, F3, 2, 166) (dual of [(265, 2), 280, 167]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(3249, 265, F3, 2, 165) (dual of [(265, 2), 281, 166]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(3249, 265, F3, 3, 165) (dual of [(265, 3), 546, 166]-NRT-code) | [i] | ||
| 5 | No linear OOA(3249, 265, F3, 4, 165) (dual of [(265, 4), 811, 166]-NRT-code) | [i] | ||
| 6 | No linear OOA(3249, 265, F3, 5, 165) (dual of [(265, 5), 1076, 166]-NRT-code) | [i] | ||
| 7 | No digital (84, 249, 265)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |