Information on Result #616810
Linear OA(2557, 390626, F25, 15) (dual of [390626, 390569, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(2564, 390652, F25, 15) (dual of [390652, 390588, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2565, 390655, F25, 15) (dual of [390655, 390590, 16]-code) | [i] | ||
| 3 | Linear OA(2566, 390657, F25, 15) (dual of [390657, 390591, 16]-code) | [i] | ||
| 4 | Linear OA(2567, 390678, F25, 15) (dual of [390678, 390611, 16]-code) | [i] | ||
| 5 | Linear OA(2568, 390704, F25, 15) (dual of [390704, 390636, 16]-code) | [i] | ||
| 6 | Linear OA(2570, 391252, F25, 15) (dual of [391252, 391182, 16]-code) | [i] | ||
| 7 | Linear OA(2570, 390641, F25, 15) (dual of [390641, 390571, 16]-code) | [i] | Generalized (u, u+v)-Construction | |
| 8 | Linear OA(2569, 390678, F25, 15) (dual of [390678, 390609, 16]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(2570, 390681, F25, 15) (dual of [390681, 390611, 16]-code) | [i] | ||
| 10 | Linear OA(2564, 390634, F25, 15) (dual of [390634, 390570, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 11 | Linear OA(2566, 390635, F25, 17) (dual of [390635, 390569, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(2558, 390635, F25, 15) (dual of [390635, 390577, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(2576, 390645, F25, 19) (dual of [390645, 390569, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(2560, 390645, F25, 15) (dual of [390645, 390585, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(2586, 390652, F25, 21) (dual of [390652, 390566, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(2587, 390655, F25, 21) (dual of [390655, 390568, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(2588, 390657, F25, 21) (dual of [390657, 390569, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(2585, 390652, F25, 20) (dual of [390652, 390567, 21]-code) | [i] | ✔ | |
| 19 | Linear OA(2586, 390655, F25, 20) (dual of [390655, 390569, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(2562, 390652, F25, 15) (dual of [390652, 390590, 16]-code) | [i] | ✔ | |
| 21 | Linear OA(2563, 390655, F25, 15) (dual of [390655, 390592, 16]-code) | [i] | ✔ | |
| 22 | Linear OA(2564, 390657, F25, 15) (dual of [390657, 390593, 16]-code) | [i] | ✔ | |
| 23 | Linear OA(2599, 390668, F25, 23) (dual of [390668, 390569, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(25109, 390678, F25, 25) (dual of [390678, 390569, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(2597, 390659, F25, 22) (dual of [390659, 390562, 23]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 26 | Linear OA(2589, 390659, F25, 20) (dual of [390659, 390570, 21]-code) | [i] | ✔ | |