Information on Result #547043
There is no linear OA(3236, 255, F3, 156) (dual of [255, 19, 157]-code), because residual code would yield OA(380, 98, S3, 52), but
- the linear programming bound shows that M ≥ 341 054785 910915 827613 087262 939178 024688 921005 310349 / 1 990980 656333 > 380 [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(3237, 256, F3, 157) (dual of [256, 19, 158]-code) | [i] | Truncation | |
| 2 | No linear OA(3238, 257, F3, 158) (dual of [257, 19, 159]-code) | [i] | ||
| 3 | No linear OOA(3237, 255, F3, 2, 157) (dual of [(255, 2), 273, 158]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3238, 255, F3, 2, 158) (dual of [(255, 2), 272, 159]-NRT-code) | [i] | ||
| 5 | No linear OOA(3236, 255, F3, 2, 156) (dual of [(255, 2), 274, 157]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3236, 255, F3, 3, 156) (dual of [(255, 3), 529, 157]-NRT-code) | [i] | ||
| 7 | No linear OOA(3236, 255, F3, 4, 156) (dual of [(255, 4), 784, 157]-NRT-code) | [i] | ||
| 8 | No linear OOA(3236, 255, F3, 5, 156) (dual of [(255, 5), 1039, 157]-NRT-code) | [i] | ||
| 9 | No digital (80, 236, 255)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |