Information on Result #611551
Linear OA(322, 2187, F3, 5) (dual of [2187, 2165, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5
Mode: Constructive and 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(324, 2191, F3, 5) (dual of [2191, 2167, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(322, 1985, F3, 2, 5) (dual of [(1985, 2), 3948, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(322, 1985, F3, 3, 5) (dual of [(1985, 3), 5933, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(322, 1985, F3, 4, 5) (dual of [(1985, 4), 7918, 6]-NRT-code) | [i] | ||
| 5 | Linear OA(330, 2195, F3, 7) (dual of [2195, 2165, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(322, 2194, F3, 5) (dual of [2194, 2172, 6]-code) | [i] | ✔ | |
| 7 | Linear OA(339, 2200, F3, 8) (dual of [2200, 2161, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(340, 2205, F3, 8) (dual of [2205, 2165, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(338, 2197, F3, 8) (dual of [2197, 2159, 9]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(330, 2196, F3, 7) (dual of [2196, 2166, 8]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(323, 2196, F3, 5) (dual of [2196, 2173, 6]-code) | [i] | ✔ | |