Information on Result #616927
Linear OA(2589, 390626, F25, 23) (dual of [390626, 390537, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(25100, 390652, F25, 23) (dual of [390652, 390552, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25101, 390655, F25, 23) (dual of [390655, 390554, 24]-code) | [i] | ||
| 3 | Linear OA(25102, 390657, F25, 23) (dual of [390657, 390555, 24]-code) | [i] | ||
| 4 | Linear OA(25103, 390678, F25, 23) (dual of [390678, 390575, 24]-code) | [i] | ||
| 5 | Linear OA(25104, 390692, F25, 23) (dual of [390692, 390588, 24]-code) | [i] | ||
| 6 | Linear OA(25105, 390694, F25, 23) (dual of [390694, 390589, 24]-code) | [i] | ||
| 7 | Linear OA(25106, 390696, F25, 23) (dual of [390696, 390590, 24]-code) | [i] | ||
| 8 | Linear OA(25107, 390698, F25, 23) (dual of [390698, 390591, 24]-code) | [i] | ||
| 9 | Linear OA(25108, 390730, F25, 23) (dual of [390730, 390622, 24]-code) | [i] | ||
| 10 | Linear OA(25109, 390834, F25, 23) (dual of [390834, 390725, 24]-code) | [i] | ||
| 11 | Linear OA(25110, 391252, F25, 23) (dual of [391252, 391142, 24]-code) | [i] | ||
| 12 | Linear OA(25110, 390650, F25, 23) (dual of [390650, 390540, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(25108, 390647, F25, 23) (dual of [390647, 390539, 24]-code) | [i] | ||
| 14 | Linear OA(25109, 390650, F25, 23) (dual of [390650, 390541, 24]-code) | [i] | ||
| 15 | Linear OA(25110, 390653, F25, 23) (dual of [390653, 390543, 24]-code) | [i] | ||
| 16 | Linear OA(25105, 390644, F25, 23) (dual of [390644, 390539, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(25106, 390646, F25, 23) (dual of [390646, 390540, 24]-code) | [i] | ||
| 18 | Linear OA(25107, 390678, F25, 23) (dual of [390678, 390571, 24]-code) | [i] | ||
| 19 | Linear OA(25108, 390681, F25, 23) (dual of [390681, 390573, 24]-code) | [i] | ||
| 20 | Linear OA(25109, 390684, F25, 23) (dual of [390684, 390575, 24]-code) | [i] | ||
| 21 | Linear OA(25110, 390686, F25, 23) (dual of [390686, 390576, 24]-code) | [i] | ||
| 22 | Linear OA(25110, 390704, F25, 23) (dual of [390704, 390594, 24]-code) | [i] | ||
| 23 | Linear OA(25100, 390638, F25, 23) (dual of [390638, 390538, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 24 | Linear OA(2598, 390635, F25, 25) (dual of [390635, 390537, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(2590, 390635, F25, 23) (dual of [390635, 390545, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(25108, 390645, F25, 27) (dual of [390645, 390537, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(2592, 390645, F25, 23) (dual of [390645, 390553, 24]-code) | [i] | ✔ | |
| 28 | Linear OA(2594, 390652, F25, 23) (dual of [390652, 390558, 24]-code) | [i] | ✔ | |
| 29 | Linear OA(2595, 390655, F25, 23) (dual of [390655, 390560, 24]-code) | [i] | ✔ | |
| 30 | Linear OA(2596, 390657, F25, 23) (dual of [390657, 390561, 24]-code) | [i] | ✔ | |
| 31 | Linear OA(2593, 390652, F25, 22) (dual of [390652, 390559, 23]-code) | [i] | ✔ | |
| 32 | Linear OA(2594, 390655, F25, 22) (dual of [390655, 390561, 23]-code) | [i] | ✔ | |
| 33 | Linear OA(2599, 390668, F25, 23) (dual of [390668, 390569, 24]-code) | [i] | ✔ | |
| 34 | Linear OA(25101, 390678, F25, 23) (dual of [390678, 390577, 24]-code) | [i] | ✔ | |
| 35 | Linear OA(2597, 390659, F25, 22) (dual of [390659, 390562, 23]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |