Information on Result #616710
Linear OA(2513, 15626, F25, 5) (dual of [15626, 15613, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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(526, 31252, F5, 5) (dual of [31252, 31226, 6]-code) | [i] | Trace Code | |
| 2 | Linear OA(2515, 15652, F25, 5) (dual of [15652, 15637, 6]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2516, 16277, F25, 5) (dual of [16277, 16261, 6]-code) | [i] | ||
| 4 | Linear OA(2520, 390650, F25, 5) (dual of [390650, 390630, 6]-code) | [i] | Generalized (u, u+v)-Construction | |
| 5 | Linear OA(2515, 15629, F25, 5) (dual of [15629, 15614, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(2520, 15633, F25, 7) (dual of [15633, 15613, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(2514, 15633, F25, 5) (dual of [15633, 15619, 6]-code) | [i] | ✔ | |
| 8 | Linear OA(2528, 15641, F25, 9) (dual of [15641, 15613, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(2520, 15634, F25, 7) (dual of [15634, 15614, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 10 | Linear OA(2514, 15634, F25, 5) (dual of [15634, 15620, 6]-code) | [i] | ✔ | |