Information on Result #616729
Linear OA(2519, 15626, F25, 7) (dual of [15626, 15607, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, 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(2522, 15652, F25, 7) (dual of [15652, 15630, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2523, 16252, F25, 7) (dual of [16252, 16229, 8]-code) | [i] | ||
| 3 | Linear OA(2524, 17160, F25, 7) (dual of [17160, 17136, 8]-code) | [i] | ||
| 4 | Linear OA(2524, 15678, F25, 7) (dual of [15678, 15654, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(2522, 15630, F25, 7) (dual of [15630, 15608, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(2526, 15633, F25, 9) (dual of [15633, 15607, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(2520, 15633, F25, 7) (dual of [15633, 15613, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(2534, 15641, F25, 11) (dual of [15641, 15607, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(2542, 15649, F25, 13) (dual of [15649, 15607, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(2520, 15634, F25, 7) (dual of [15634, 15614, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |