Information on Result #548208
There is no linear OA(39, 16, F3, 6) (dual of [16, 7, 7]-code), because “vE2†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(311, 16, F3, 2, 8) (dual of [(16, 2), 21, 9]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(39, 16, F3, 2, 6) (dual of [(16, 2), 23, 7]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(39, 16, F3, 3, 6) (dual of [(16, 3), 39, 7]-NRT-code) | [i] | ||
| 4 | No linear OOA(39, 16, F3, 4, 6) (dual of [(16, 4), 55, 7]-NRT-code) | [i] | ||
| 5 | No linear OOA(39, 16, F3, 5, 6) (dual of [(16, 5), 71, 7]-NRT-code) | [i] | ||
| 6 | No digital (3, 9, 16)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 7 | No linear OA(327, 35, F3, 18) (dual of [35, 8, 19]-code) | [i] | Residual Code | |
| 8 | No linear OA(310, 28, F3, 6) (dual of [28, 18, 7]-code) | [i] | Construction Y1 (Bound) | |