Information on Result #548687
There is no linear OA(3197, 206, F3, 132) (dual of [206, 9, 133]-code), because residual code would yield linear OA(365, 73, F3, 44) (dual of [73, 8, 45]-code), but
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(3198, 207, F3, 133) (dual of [207, 9, 134]-code) | [i] | Truncation | |
| 2 | No linear OA(3199, 208, F3, 134) (dual of [208, 9, 135]-code) | [i] | ||
| 3 | No linear OOA(3198, 206, F3, 2, 133) (dual of [(206, 2), 214, 134]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3199, 206, F3, 2, 134) (dual of [(206, 2), 213, 135]-NRT-code) | [i] | ||
| 5 | No linear OOA(3197, 206, F3, 2, 132) (dual of [(206, 2), 215, 133]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3197, 206, F3, 3, 132) (dual of [(206, 3), 421, 133]-NRT-code) | [i] | ||
| 7 | No linear OOA(3197, 206, F3, 4, 132) (dual of [(206, 4), 627, 133]-NRT-code) | [i] | ||
| 8 | No linear OOA(3197, 206, F3, 5, 132) (dual of [(206, 5), 833, 133]-NRT-code) | [i] | ||
| 9 | No digital (65, 197, 206)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |