Information on Result #703118
Linear OA(336, 242, F3, 11) (dual of [242, 206, 12]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,7}, and designed minimum distance d ≥ |I|+1 = 12
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(336, 142, F3, 2, 11) (dual of [(142, 2), 248, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(336, 142, F3, 3, 11) (dual of [(142, 3), 390, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(336, 142, F3, 4, 11) (dual of [(142, 4), 532, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(336, 142, F3, 5, 11) (dual of [(142, 5), 674, 12]-NRT-code) | [i] | ||
| 5 | Digital (25, 36, 142)-net over F3 | [i] | ||
| 6 | Linear OA(339, 260, F3, 11) (dual of [260, 221, 12]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(347, 264, F3, 13) (dual of [264, 217, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(345, 261, F3, 12) (dual of [261, 216, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(345, 261, F3, 13) (dual of [261, 216, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(343, 259, F3, 12) (dual of [259, 216, 13]-code) | [i] | ✔ | |