Information on Result #548226
There is no linear OA(360, 71, F3, 40) (dual of [71, 11, 41]-code), because “Gur†bound on codes from Brouwer’s database
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 OOA(361, 71, F3, 2, 41) (dual of [(71, 2), 81, 42]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(360, 71, F3, 2, 40) (dual of [(71, 2), 82, 41]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(360, 71, F3, 3, 40) (dual of [(71, 3), 153, 41]-NRT-code) | [i] | ||
| 4 | No linear OOA(360, 71, F3, 4, 40) (dual of [(71, 4), 224, 41]-NRT-code) | [i] | ||
| 5 | No linear OOA(360, 71, F3, 5, 40) (dual of [(71, 5), 295, 41]-NRT-code) | [i] | ||
| 6 | No digital (20, 60, 71)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 7 | No linear OA(3180, 192, F3, 120) (dual of [192, 12, 121]-code) | [i] | Residual Code | |