Information on Result #616726
Linear OA(2513, 626, F25, 7) (dual of [626, 613, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, 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(2556, 16252, F25, 15) (dual of [16252, 16196, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2570, 391252, F25, 15) (dual of [391252, 391182, 16]-code) | [i] | ||
| 3 | Linear OA(2516, 652, F25, 7) (dual of [652, 636, 8]-code) | [i] | ||
| 4 | Linear OA(2517, 1252, F25, 7) (dual of [1252, 1235, 8]-code) | [i] | ||
| 5 | Linear OA(2524, 15650, F25, 7) (dual of [15650, 15626, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 6 | Linear OA(2516, 630, F25, 7) (dual of [630, 614, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(2518, 631, F25, 9) (dual of [631, 613, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(2514, 631, F25, 7) (dual of [631, 617, 8]-code) | [i] | ✔ | |
| 9 | Linear OA(2524, 637, F25, 11) (dual of [637, 613, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(2530, 643, F25, 13) (dual of [643, 613, 14]-code) | [i] | ✔ | |