Information on Result #611557
Linear OA(340, 1594323, F3, 5) (dual of [1594323, 1594283, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, 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(342, 1594327, F3, 5) (dual of [1594327, 1594285, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(340, 1448537, F3, 2, 5) (dual of [(1448537, 2), 2897034, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(340, 1448537, F3, 3, 5) (dual of [(1448537, 3), 4345571, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(340, 1448537, F3, 4, 5) (dual of [(1448537, 4), 5794108, 6]-NRT-code) | [i] | ||
| 5 | Linear OA(354, 1594337, F3, 7) (dual of [1594337, 1594283, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(340, 1594336, F3, 5) (dual of [1594336, 1594296, 6]-code) | [i] | ✔ | |
| 7 | Linear OA(370, 1594353, F3, 8) (dual of [1594353, 1594283, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(354, 1594338, F3, 7) (dual of [1594338, 1594284, 8]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(341, 1594338, F3, 5) (dual of [1594338, 1594297, 6]-code) | [i] | ✔ | |