Information on Result #611616
Linear OA(361, 531441, F3, 8) (dual of [531441, 531380, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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(365, 531446, F3, 8) (dual of [531446, 531381, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(374, 531454, F3, 10) (dual of [531454, 531380, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(361, 531453, F3, 8) (dual of [531453, 531392, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(389, 531469, F3, 11) (dual of [531469, 531380, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(365, 531469, F3, 8) (dual of [531469, 531404, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(3103, 531483, F3, 12) (dual of [531483, 531380, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(374, 531455, F3, 10) (dual of [531455, 531381, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(362, 531455, F3, 8) (dual of [531455, 531393, 9]-code) | [i] | ✔ | |