Information on Result #616748
Linear OA(2525, 15626, F25, 9) (dual of [15626, 15601, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(2529, 15652, F25, 9) (dual of [15652, 15623, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2530, 15655, F25, 9) (dual of [15655, 15625, 10]-code) | [i] | ||
| 3 | Linear OA(2531, 16226, F25, 9) (dual of [16226, 16195, 10]-code) | [i] | ||
| 4 | Linear OA(2532, 16251, F25, 9) (dual of [16251, 16219, 10]-code) | [i] | ||
| 5 | Linear OA(2532, 15678, F25, 9) (dual of [15678, 15646, 10]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(2529, 15631, F25, 9) (dual of [15631, 15602, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(2532, 15633, F25, 11) (dual of [15633, 15601, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(2526, 15633, F25, 9) (dual of [15633, 15607, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(2540, 15641, F25, 13) (dual of [15641, 15601, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(2528, 15641, F25, 9) (dual of [15641, 15613, 10]-code) | [i] | ✔ | |
| 11 | Linear OA(2548, 15649, F25, 15) (dual of [15649, 15601, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(2556, 15652, F25, 17) (dual of [15652, 15596, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(2557, 15655, F25, 17) (dual of [15655, 15598, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(2558, 15657, F25, 17) (dual of [15657, 15599, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(2559, 15660, F25, 17) (dual of [15660, 15601, 18]-code) | [i] | ✔ | |