Information on Result #703145
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 = {111,112,…,121}, 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(344, 260, F3, 12) (dual of [260, 216, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
7 | Linear OA(347, 253, F3, 14) (dual of [253, 206, 15]-code) | [i] | ✔ | |
8 | Linear OA(354, 260, F3, 15) (dual of [260, 206, 16]-code) | [i] | ✔ | |
9 | Linear OA(363, 269, F3, 17) (dual of [269, 206, 18]-code) | [i] | ✔ |