Information on Result #616732
Linear OA(2525, 390626, F25, 7) (dual of [390626, 390601, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound)
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(2528, 390652, F25, 7) (dual of [390652, 390624, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2529, 391252, F25, 7) (dual of [391252, 391223, 8]-code) | [i] | ||
| 3 | Linear OA(2530, 392160, F25, 7) (dual of [392160, 392130, 8]-code) | [i] | ||
| 4 | Linear OA(2530, 390678, F25, 7) (dual of [390678, 390648, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(2528, 390630, F25, 7) (dual of [390630, 390602, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(2534, 390635, F25, 9) (dual of [390635, 390601, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(2526, 390635, F25, 7) (dual of [390635, 390609, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(2544, 390645, F25, 11) (dual of [390645, 390601, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(2554, 390652, F25, 13) (dual of [390652, 390598, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(2555, 390655, F25, 13) (dual of [390655, 390600, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(2556, 390657, F25, 13) (dual of [390657, 390601, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(2534, 390636, F25, 9) (dual of [390636, 390602, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 13 | Linear OA(2526, 390636, F25, 7) (dual of [390636, 390610, 8]-code) | [i] | ✔ | |