Information on Result #703193
Linear OA(351, 242, F3, 15) (dual of [242, 191, 16]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−1,0,…,13}, and designed minimum distance d ≥ |I|+1 = 16
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(351, 183, F3, 2, 15) (dual of [(183, 2), 315, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(351, 183, F3, 3, 15) (dual of [(183, 3), 498, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(351, 183, F3, 4, 15) (dual of [(183, 4), 681, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(351, 183, F3, 5, 15) (dual of [(183, 5), 864, 16]-NRT-code) | [i] | ||
| 5 | Digital (36, 51, 183)-net over F3 | [i] | ||
| 6 | Linear OA(351, 252, F3, 15) (dual of [252, 201, 16]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(358, 255, F3, 17) (dual of [255, 197, 18]-code) | [i] | ✔ | |