Information on Result #616745
Linear OA(2517, 626, F25, 9) (dual of [626, 609, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, 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(534, 1252, F5, 9) (dual of [1252, 1218, 10]-code) | [i] | Trace Code | |
| 2 | Linear OA(2572, 16252, F25, 19) (dual of [16252, 16180, 20]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2590, 391252, F25, 19) (dual of [391252, 391162, 20]-code) | [i] | ||
| 4 | Linear OA(2521, 652, F25, 9) (dual of [652, 631, 10]-code) | [i] | ||
| 5 | Linear OA(2522, 655, F25, 9) (dual of [655, 633, 10]-code) | [i] | ||
| 6 | Linear OA(2523, 1226, F25, 9) (dual of [1226, 1203, 10]-code) | [i] | ||
| 7 | Linear OA(2520, 630, F25, 9) (dual of [630, 610, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(2522, 631, F25, 11) (dual of [631, 609, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(2518, 631, F25, 9) (dual of [631, 613, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(2528, 637, F25, 13) (dual of [637, 609, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(2520, 637, F25, 9) (dual of [637, 617, 10]-code) | [i] | ✔ | |
| 12 | Linear OA(2534, 643, F25, 15) (dual of [643, 609, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(2540, 649, F25, 17) (dual of [649, 609, 18]-code) | [i] | ✔ | |