Information on Result #546993
There is no linear OA(3230, 268, F3, 150) (dual of [268, 38, 151]-code), because residual code would yield OA(380, 117, S3, 50), but
- the linear programming bound shows that M ≥ 43 988919 336557 262180 077487 525672 393199 697139 692324 704712 213007 / 293033 908358 491110 749536 > 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(3231, 269, F3, 151) (dual of [269, 38, 152]-code) | [i] | Truncation | |
| 2 | No linear OA(3232, 270, F3, 152) (dual of [270, 38, 153]-code) | [i] | ||
| 3 | No linear OOA(3231, 268, F3, 2, 151) (dual of [(268, 2), 305, 152]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3232, 268, F3, 2, 152) (dual of [(268, 2), 304, 153]-NRT-code) | [i] | ||
| 5 | No linear OOA(3230, 268, F3, 2, 150) (dual of [(268, 2), 306, 151]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3230, 268, F3, 3, 150) (dual of [(268, 3), 574, 151]-NRT-code) | [i] | ||
| 7 | No linear OOA(3230, 268, F3, 4, 150) (dual of [(268, 4), 842, 151]-NRT-code) | [i] | ||
| 8 | No linear OOA(3230, 268, F3, 5, 150) (dual of [(268, 5), 1110, 151]-NRT-code) | [i] | ||
| 9 | No digital (80, 230, 268)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |