Information on Result #616720
Linear OA(2521, 390625, F25, 6) (dual of [390625, 390604, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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(2524, 390651, F25, 6) (dual of [390651, 390627, 7]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2525, 391251, F25, 6) (dual of [391251, 391226, 7]-code) | [i] | ||
| 3 | Linear OA(2525, 390629, F25, 7) (dual of [390629, 390604, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2521, 390629, F25, 6) (dual of [390629, 390608, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(2530, 390634, F25, 8) (dual of [390634, 390604, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(2522, 390634, F25, 6) (dual of [390634, 390612, 7]-code) | [i] | ✔ | |
| 7 | Linear OA(2535, 390639, F25, 9) (dual of [390639, 390604, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(2523, 390639, F25, 6) (dual of [390639, 390616, 7]-code) | [i] | ✔ | |
| 9 | Linear OA(2540, 390644, F25, 10) (dual of [390644, 390604, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(2545, 390649, F25, 11) (dual of [390649, 390604, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(2550, 390651, F25, 12) (dual of [390651, 390601, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(2551, 390654, F25, 12) (dual of [390654, 390603, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(2552, 390656, F25, 12) (dual of [390656, 390604, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(2530, 390635, F25, 8) (dual of [390635, 390605, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(2522, 390635, F25, 6) (dual of [390635, 390613, 7]-code) | [i] | ✔ | |