Information on Result #611556
Linear OA(337, 531441, F3, 5) (dual of [531441, 531404, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, 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(339, 531445, F3, 5) (dual of [531445, 531406, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(337, 482844, F3, 2, 5) (dual of [(482844, 2), 965651, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(337, 482844, F3, 3, 5) (dual of [(482844, 3), 1448495, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(337, 482844, F3, 4, 5) (dual of [(482844, 4), 1931339, 6]-NRT-code) | [i] | ||
| 5 | Linear OA(350, 531454, F3, 7) (dual of [531454, 531404, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(337, 531453, F3, 5) (dual of [531453, 531416, 6]-code) | [i] | ✔ | |
| 7 | Linear OA(365, 531469, F3, 8) (dual of [531469, 531404, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(350, 531455, F3, 7) (dual of [531455, 531405, 8]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(338, 531455, F3, 5) (dual of [531455, 531417, 6]-code) | [i] | ✔ | |