Information on Result #546994
There is no linear OA(3231, 278, F3, 150) (dual of [278, 47, 151]-code), because residual code would yield OA(381, 127, S3, 50), but
- the linear programming bound shows that M ≥ 5 298495 360699 143400 851017 463794 435462 430841 716143 016814 949397 477824 916043 / 11181 941894 946610 416397 751274 583291 > 381 [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(3232, 279, F3, 151) (dual of [279, 47, 152]-code) | [i] | Truncation | |
| 2 | No linear OA(3233, 280, F3, 152) (dual of [280, 47, 153]-code) | [i] | ||
| 3 | No linear OOA(3232, 278, F3, 2, 151) (dual of [(278, 2), 324, 152]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3233, 278, F3, 2, 152) (dual of [(278, 2), 323, 153]-NRT-code) | [i] | ||
| 5 | No linear OOA(3231, 278, F3, 2, 150) (dual of [(278, 2), 325, 151]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3231, 278, F3, 3, 150) (dual of [(278, 3), 603, 151]-NRT-code) | [i] | ||
| 7 | No linear OOA(3231, 278, F3, 4, 150) (dual of [(278, 4), 881, 151]-NRT-code) | [i] | ||
| 8 | No linear OOA(3231, 278, F3, 5, 150) (dual of [(278, 5), 1159, 151]-NRT-code) | [i] | ||
| 9 | No digital (81, 231, 278)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |