Information on Result #547066
There is no linear OA(3243, 273, F3, 159) (dual of [273, 30, 160]-code), because residual code would yield OA(384, 113, S3, 53), but
- the linear programming bound shows that M ≥ 220 344254 536683 114597 471552 228690 132437 887421 343564 925242 / 18336 783241 265797 > 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(3244, 274, F3, 160) (dual of [274, 30, 161]-code) | [i] | Truncation | |
| 2 | No linear OA(3245, 275, F3, 161) (dual of [275, 30, 162]-code) | [i] | ||
| 3 | No linear OOA(3244, 273, F3, 2, 160) (dual of [(273, 2), 302, 161]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3245, 273, F3, 2, 161) (dual of [(273, 2), 301, 162]-NRT-code) | [i] | ||
| 5 | No linear OOA(3243, 273, F3, 2, 159) (dual of [(273, 2), 303, 160]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3243, 273, F3, 3, 159) (dual of [(273, 3), 576, 160]-NRT-code) | [i] | ||
| 7 | No linear OOA(3243, 273, F3, 4, 159) (dual of [(273, 4), 849, 160]-NRT-code) | [i] | ||
| 8 | No linear OOA(3243, 273, F3, 5, 159) (dual of [(273, 5), 1122, 160]-NRT-code) | [i] | ||
| 9 | No digital (84, 243, 273)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |