Information on Result #548233
There is no linear OA(413, 18, F4, 10) (dual of [18, 5, 11]-code), because “Liz†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 OA(414, 19, F4, 11) (dual of [19, 5, 12]-code) | [i] | Truncation | |
| 2 | No linear OOA(414, 18, F4, 2, 11) (dual of [(18, 2), 22, 12]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(415, 18, F4, 2, 12) (dual of [(18, 2), 21, 13]-NRT-code) | [i] | ||
| 4 | No linear OOA(416, 18, F4, 2, 13) (dual of [(18, 2), 20, 14]-NRT-code) | [i] | ||
| 5 | No linear OOA(417, 18, F4, 2, 14) (dual of [(18, 2), 19, 15]-NRT-code) | [i] | ||
| 6 | No linear OOA(418, 18, F4, 2, 15) (dual of [(18, 2), 18, 16]-NRT-code) | [i] | ||
| 7 | No linear OOA(413, 18, F4, 2, 10) (dual of [(18, 2), 23, 11]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(413, 18, F4, 3, 10) (dual of [(18, 3), 41, 11]-NRT-code) | [i] | ||
| 9 | No digital (3, 13, 18)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |
| 10 | No linear OA(453, 59, F4, 40) (dual of [59, 6, 41]-code) | [i] | Residual Code | |
| 11 | No linear OA(414, 32, F4, 10) (dual of [32, 18, 11]-code) | [i] | Construction Y1 (Bound) | |
| 12 | No linear OA(416, 29, F4, 12) (dual of [29, 13, 13]-code) | [i] | ||
| 13 | No linear OA(414, 30, F4, 10) (dual of [30, 16, 11]-code) | [i] | ||