Information on Result #547085
There is no linear OA(3248, 261, F3, 165) (dual of [261, 13, 166]-code), because residual code would yield OA(383, 95, S3, 55), but
- the linear programming bound shows that M ≥ 648 778625 227853 290324 593879 307770 065609 747709 / 118144 > 383 [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(3249, 262, F3, 166) (dual of [262, 13, 167]-code) | [i] | Truncation | |
| 2 | No linear OA(3250, 263, F3, 167) (dual of [263, 13, 168]-code) | [i] | ||
| 3 | No linear OOA(3249, 261, F3, 2, 166) (dual of [(261, 2), 273, 167]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3250, 261, F3, 2, 167) (dual of [(261, 2), 272, 168]-NRT-code) | [i] | ||
| 5 | No linear OOA(3248, 261, F3, 2, 165) (dual of [(261, 2), 274, 166]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3248, 261, F3, 3, 165) (dual of [(261, 3), 535, 166]-NRT-code) | [i] | ||
| 7 | No linear OOA(3248, 261, F3, 4, 165) (dual of [(261, 4), 796, 166]-NRT-code) | [i] | ||
| 8 | No linear OOA(3248, 261, F3, 5, 165) (dual of [(261, 5), 1057, 166]-NRT-code) | [i] | ||
| 9 | No digital (83, 248, 261)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |