Information on Result #616832
Linear OA(2565, 390626, F25, 17) (dual of [390626, 390561, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(2573, 390652, F25, 17) (dual of [390652, 390579, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2574, 390655, F25, 17) (dual of [390655, 390581, 18]-code) | [i] | ||
| 3 | Linear OA(2575, 390657, F25, 17) (dual of [390657, 390582, 18]-code) | [i] | ||
| 4 | Linear OA(2576, 390678, F25, 17) (dual of [390678, 390602, 18]-code) | [i] | ||
| 5 | Linear OA(2577, 390692, F25, 17) (dual of [390692, 390615, 18]-code) | [i] | ||
| 6 | Linear OA(2578, 390704, F25, 17) (dual of [390704, 390626, 18]-code) | [i] | ||
| 7 | Linear OA(2579, 390729, F25, 17) (dual of [390729, 390650, 18]-code) | [i] | ||
| 8 | Linear OA(2580, 391251, F25, 17) (dual of [391251, 391171, 18]-code) | [i] | ||
| 9 | Linear OA(2580, 390644, F25, 17) (dual of [390644, 390564, 18]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(2577, 390640, F25, 17) (dual of [390640, 390563, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(2578, 390678, F25, 17) (dual of [390678, 390600, 18]-code) | [i] | ||
| 12 | Linear OA(2579, 390681, F25, 17) (dual of [390681, 390602, 18]-code) | [i] | ||
| 13 | Linear OA(2580, 390684, F25, 17) (dual of [390684, 390604, 18]-code) | [i] | ||
| 14 | Linear OA(2573, 390635, F25, 17) (dual of [390635, 390562, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 15 | Linear OA(2574, 390635, F25, 19) (dual of [390635, 390561, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(2566, 390635, F25, 17) (dual of [390635, 390569, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(2584, 390645, F25, 21) (dual of [390645, 390561, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(2568, 390645, F25, 17) (dual of [390645, 390577, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(2594, 390652, F25, 23) (dual of [390652, 390558, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(2595, 390655, F25, 23) (dual of [390655, 390560, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(2596, 390657, F25, 23) (dual of [390657, 390561, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(2593, 390652, F25, 22) (dual of [390652, 390559, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(2594, 390655, F25, 22) (dual of [390655, 390561, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(2570, 390652, F25, 17) (dual of [390652, 390582, 18]-code) | [i] | ✔ | |
| 25 | Linear OA(2571, 390655, F25, 17) (dual of [390655, 390584, 18]-code) | [i] | ✔ | |
| 26 | Linear OA(2572, 390657, F25, 17) (dual of [390657, 390585, 18]-code) | [i] | ✔ | |
| 27 | Linear OA(2569, 390652, F25, 16) (dual of [390652, 390583, 17]-code) | [i] | ✔ | |
| 28 | Linear OA(2570, 390655, F25, 16) (dual of [390655, 390585, 17]-code) | [i] | ✔ | |
| 29 | Linear OA(25107, 390668, F25, 25) (dual of [390668, 390561, 26]-code) | [i] | ✔ | |
| 30 | Linear OA(2575, 390668, F25, 17) (dual of [390668, 390593, 18]-code) | [i] | ✔ | |
| 31 | Linear OA(25105, 390659, F25, 24) (dual of [390659, 390554, 25]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 32 | Linear OA(2597, 390659, F25, 22) (dual of [390659, 390562, 23]-code) | [i] | ✔ | |