Information on Result #616718
Linear OA(2511, 625, F25, 6) (dual of [625, 614, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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(2548, 16251, F25, 13) (dual of [16251, 16203, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2560, 391251, F25, 13) (dual of [391251, 391191, 14]-code) | [i] | ||
| 3 | Linear OA(2514, 651, F25, 6) (dual of [651, 637, 7]-code) | [i] | ||
| 4 | Linear OA(2513, 627, F25, 7) (dual of [627, 614, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(2511, 627, F25, 6) (dual of [627, 616, 7]-code) | [i] | ✔ | |
| 6 | Linear OA(2516, 630, F25, 8) (dual of [630, 614, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(2512, 630, F25, 6) (dual of [630, 618, 7]-code) | [i] | ✔ | |
| 8 | Linear OA(2519, 633, F25, 9) (dual of [633, 614, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(2513, 633, F25, 6) (dual of [633, 620, 7]-code) | [i] | ✔ | |
| 10 | Linear OA(2522, 636, F25, 10) (dual of [636, 614, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(2525, 639, F25, 11) (dual of [639, 614, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(2528, 642, F25, 12) (dual of [642, 614, 13]-code) | [i] | ✔ | |