Information on Result #616892
Linear OA(2581, 390626, F25, 21) (dual of [390626, 390545, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(2591, 390652, F25, 21) (dual of [390652, 390561, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2592, 390655, F25, 21) (dual of [390655, 390563, 22]-code) | [i] | ||
| 3 | Linear OA(2593, 390657, F25, 21) (dual of [390657, 390564, 22]-code) | [i] | ||
| 4 | Linear OA(2594, 390678, F25, 21) (dual of [390678, 390584, 22]-code) | [i] | ||
| 5 | Linear OA(2595, 390692, F25, 21) (dual of [390692, 390597, 22]-code) | [i] | ||
| 6 | Linear OA(2596, 390694, F25, 21) (dual of [390694, 390598, 22]-code) | [i] | ||
| 7 | Linear OA(2597, 390696, F25, 21) (dual of [390696, 390599, 22]-code) | [i] | ||
| 8 | Linear OA(2598, 390730, F25, 21) (dual of [390730, 390632, 22]-code) | [i] | ||
| 9 | Linear OA(2599, 390834, F25, 21) (dual of [390834, 390735, 22]-code) | [i] | ||
| 10 | Linear OA(25100, 391251, F25, 21) (dual of [391251, 391151, 22]-code) | [i] | ||
| 11 | Linear OA(25100, 390647, F25, 21) (dual of [390647, 390547, 22]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(2597, 390644, F25, 21) (dual of [390644, 390547, 22]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(2598, 390678, F25, 21) (dual of [390678, 390580, 22]-code) | [i] | ||
| 14 | Linear OA(2599, 390681, F25, 21) (dual of [390681, 390582, 22]-code) | [i] | ||
| 15 | Linear OA(25100, 390684, F25, 21) (dual of [390684, 390584, 22]-code) | [i] | ||
| 16 | Linear OA(2591, 390637, F25, 21) (dual of [390637, 390546, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 17 | Linear OA(2590, 390635, F25, 23) (dual of [390635, 390545, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(2582, 390635, F25, 21) (dual of [390635, 390553, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(25100, 390645, F25, 25) (dual of [390645, 390545, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(2584, 390645, F25, 21) (dual of [390645, 390561, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(25110, 390652, F25, 27) (dual of [390652, 390542, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(25109, 390652, F25, 26) (dual of [390652, 390543, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(25110, 390655, F25, 26) (dual of [390655, 390545, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(2586, 390652, F25, 21) (dual of [390652, 390566, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(2587, 390655, F25, 21) (dual of [390655, 390568, 22]-code) | [i] | ✔ | |
| 26 | Linear OA(2588, 390657, F25, 21) (dual of [390657, 390569, 22]-code) | [i] | ✔ | |
| 27 | Linear OA(2585, 390652, F25, 20) (dual of [390652, 390567, 21]-code) | [i] | ✔ | |
| 28 | Linear OA(2586, 390655, F25, 20) (dual of [390655, 390569, 21]-code) | [i] | ✔ | |
| 29 | Linear OA(2591, 390668, F25, 21) (dual of [390668, 390577, 22]-code) | [i] | ✔ | |
| 30 | Linear OA(2593, 390678, F25, 21) (dual of [390678, 390585, 22]-code) | [i] | ✔ | |
| 31 | Linear OA(2589, 390659, F25, 20) (dual of [390659, 390570, 21]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |