Information on Result #616861
Linear OA(2573, 390626, F25, 19) (dual of [390626, 390553, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(2582, 390652, F25, 19) (dual of [390652, 390570, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2583, 390655, F25, 19) (dual of [390655, 390572, 20]-code) | [i] | ||
| 3 | Linear OA(2584, 390657, F25, 19) (dual of [390657, 390573, 20]-code) | [i] | ||
| 4 | Linear OA(2585, 390678, F25, 19) (dual of [390678, 390593, 20]-code) | [i] | ||
| 5 | Linear OA(2586, 390692, F25, 19) (dual of [390692, 390606, 20]-code) | [i] | ||
| 6 | Linear OA(2587, 390694, F25, 19) (dual of [390694, 390607, 20]-code) | [i] | ||
| 7 | Linear OA(2588, 390730, F25, 19) (dual of [390730, 390642, 20]-code) | [i] | ||
| 8 | Linear OA(2589, 390834, F25, 19) (dual of [390834, 390745, 20]-code) | [i] | ||
| 9 | Linear OA(2590, 391252, F25, 19) (dual of [391252, 391162, 20]-code) | [i] | ||
| 10 | Linear OA(2590, 390646, F25, 19) (dual of [390646, 390556, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 11 | Linear OA(2589, 390644, F25, 19) (dual of [390644, 390555, 20]-code) | [i] | ||
| 12 | Linear OA(2590, 390647, F25, 19) (dual of [390647, 390557, 20]-code) | [i] | ||
| 13 | Linear OA(2587, 390642, F25, 19) (dual of [390642, 390555, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 14 | Linear OA(2588, 390678, F25, 19) (dual of [390678, 390590, 20]-code) | [i] | ||
| 15 | Linear OA(2589, 390681, F25, 19) (dual of [390681, 390592, 20]-code) | [i] | ||
| 16 | Linear OA(2590, 390684, F25, 19) (dual of [390684, 390594, 20]-code) | [i] | ||
| 17 | Linear OA(2582, 390636, F25, 19) (dual of [390636, 390554, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 18 | Linear OA(2582, 390635, F25, 21) (dual of [390635, 390553, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(2574, 390635, F25, 19) (dual of [390635, 390561, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(2592, 390645, F25, 23) (dual of [390645, 390553, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(2576, 390645, F25, 19) (dual of [390645, 390569, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(25102, 390652, F25, 25) (dual of [390652, 390550, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(25103, 390655, F25, 25) (dual of [390655, 390552, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(25104, 390657, F25, 25) (dual of [390657, 390553, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(25101, 390652, F25, 24) (dual of [390652, 390551, 25]-code) | [i] | ✔ | |
| 26 | Linear OA(25102, 390655, F25, 24) (dual of [390655, 390553, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(2578, 390652, F25, 19) (dual of [390652, 390574, 20]-code) | [i] | ✔ | |
| 28 | Linear OA(2579, 390655, F25, 19) (dual of [390655, 390576, 20]-code) | [i] | ✔ | |
| 29 | Linear OA(2580, 390657, F25, 19) (dual of [390657, 390577, 20]-code) | [i] | ✔ | |
| 30 | Linear OA(2577, 390652, F25, 18) (dual of [390652, 390575, 19]-code) | [i] | ✔ | |
| 31 | Linear OA(2578, 390655, F25, 18) (dual of [390655, 390577, 19]-code) | [i] | ✔ | |
| 32 | Linear OA(2583, 390668, F25, 19) (dual of [390668, 390585, 20]-code) | [i] | ✔ | |
| 33 | Linear OA(25105, 390659, F25, 24) (dual of [390659, 390554, 25]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |