Information on Result #616789
Linear OA(2549, 390626, F25, 13) (dual of [390626, 390577, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(2555, 390652, F25, 13) (dual of [390652, 390597, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2556, 390655, F25, 13) (dual of [390655, 390599, 14]-code) | [i] | ||
| 3 | Linear OA(2557, 390657, F25, 13) (dual of [390657, 390600, 14]-code) | [i] | ||
| 4 | Linear OA(2558, 390678, F25, 13) (dual of [390678, 390620, 14]-code) | [i] | ||
| 5 | Linear OA(2559, 390703, F25, 13) (dual of [390703, 390644, 14]-code) | [i] | ||
| 6 | Linear OA(2560, 391251, F25, 13) (dual of [391251, 391191, 14]-code) | [i] | ||
| 7 | Linear OA(2559, 390678, F25, 13) (dual of [390678, 390619, 14]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(2560, 390681, F25, 13) (dual of [390681, 390621, 14]-code) | [i] | ||
| 9 | Linear OA(2555, 390633, F25, 13) (dual of [390633, 390578, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(2558, 390635, F25, 15) (dual of [390635, 390577, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(2550, 390635, F25, 13) (dual of [390635, 390585, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(2568, 390645, F25, 17) (dual of [390645, 390577, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(2552, 390645, F25, 13) (dual of [390645, 390593, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(2578, 390652, F25, 19) (dual of [390652, 390574, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(2579, 390655, F25, 19) (dual of [390655, 390576, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(2580, 390657, F25, 19) (dual of [390657, 390577, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(2577, 390652, F25, 18) (dual of [390652, 390575, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(2578, 390655, F25, 18) (dual of [390655, 390577, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(2554, 390652, F25, 13) (dual of [390652, 390598, 14]-code) | [i] | ✔ | |
| 20 | Linear OA(2555, 390655, F25, 13) (dual of [390655, 390600, 14]-code) | [i] | ✔ | |
| 21 | Linear OA(2556, 390657, F25, 13) (dual of [390657, 390601, 14]-code) | [i] | ✔ | |
| 22 | Linear OA(2591, 390668, F25, 21) (dual of [390668, 390577, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(25101, 390678, F25, 23) (dual of [390678, 390577, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(2589, 390659, F25, 20) (dual of [390659, 390570, 21]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |