Information on Result #703106
Linear OA(331, 242, F3, 9) (dual of [242, 211, 10]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {114,115,…,122}, and designed minimum distance d ≥ |I|+1 = 10
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(331, 182, F3, 2, 9) (dual of [(182, 2), 333, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(331, 182, F3, 3, 9) (dual of [(182, 3), 515, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(331, 182, F3, 4, 9) (dual of [(182, 4), 697, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(331, 182, F3, 5, 9) (dual of [(182, 5), 879, 10]-NRT-code) | [i] | ||
| 5 | Digital (22, 31, 182)-net over F3 | [i] | ||
| 6 | Linear OA(334, 260, F3, 9) (dual of [260, 226, 10]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(345, 262, F3, 12) (dual of [262, 217, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(337, 253, F3, 11) (dual of [253, 216, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(344, 260, F3, 12) (dual of [260, 216, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(353, 269, F3, 14) (dual of [269, 216, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(343, 254, F3, 13) (dual of [254, 211, 14]-code) | [i] | ✔ | |