Information on Result #548206
There is no linear OA(36, 15, F3, 4) (dual of [15, 9, 5]-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(36, 15, F3, 2, 4) (dual of [(15, 2), 24, 5]-NRT-code) | [i] | Depth Reduction | |
2 | No linear OOA(36, 15, F3, 3, 4) (dual of [(15, 3), 39, 5]-NRT-code) | [i] | ||
3 | No linear OOA(36, 15, F3, 4, 4) (dual of [(15, 4), 54, 5]-NRT-code) | [i] | ||
4 | No linear OOA(36, 15, F3, 5, 4) (dual of [(15, 5), 69, 5]-NRT-code) | [i] | ||
5 | No digital (2, 6, 15)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
6 | No linear OA(318, 28, F3, 12) (dual of [28, 10, 13]-code) | [i] | Residual Code |