Information on Result #616700
Linear OA(257, 625, F25, 4) (dual of [625, 618, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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(514, 1250, F5, 4) (dual of [1250, 1236, 5]-code) | [i] | Trace Code | |
| 2 | Linear OA(2532, 16251, F25, 9) (dual of [16251, 16219, 10]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2540, 391251, F25, 9) (dual of [391251, 391211, 10]-code) | [i] | ||
| 4 | Linear OA(257, 627, F25, 4) (dual of [627, 620, 5]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(2512, 630, F25, 6) (dual of [630, 618, 7]-code) | [i] | ✔ | |
| 6 | Linear OA(2515, 633, F25, 7) (dual of [633, 618, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(2518, 636, F25, 8) (dual of [636, 618, 9]-code) | [i] | ✔ | |