Information on Result #616786
Linear OA(2537, 15626, F25, 13) (dual of [15626, 15589, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, 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(2543, 15652, F25, 13) (dual of [15652, 15609, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2544, 15655, F25, 13) (dual of [15655, 15611, 14]-code) | [i] | ||
| 3 | Linear OA(2545, 15657, F25, 13) (dual of [15657, 15612, 14]-code) | [i] | ||
| 4 | Linear OA(2546, 15678, F25, 13) (dual of [15678, 15632, 14]-code) | [i] | ||
| 5 | Linear OA(2547, 15703, F25, 13) (dual of [15703, 15656, 14]-code) | [i] | ||
| 6 | Linear OA(2548, 16251, F25, 13) (dual of [16251, 16203, 14]-code) | [i] | ||
| 7 | Linear OA(2547, 15678, F25, 13) (dual of [15678, 15631, 14]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(2548, 15681, F25, 13) (dual of [15681, 15633, 14]-code) | [i] | ||
| 9 | Linear OA(2543, 15633, F25, 13) (dual of [15633, 15590, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(2544, 15633, F25, 15) (dual of [15633, 15589, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(2538, 15633, F25, 13) (dual of [15633, 15595, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(2552, 15641, F25, 17) (dual of [15641, 15589, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(2540, 15641, F25, 13) (dual of [15641, 15601, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(2560, 15649, F25, 19) (dual of [15649, 15589, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(2542, 15649, F25, 13) (dual of [15649, 15607, 14]-code) | [i] | ✔ | |
| 16 | Linear OA(2568, 15652, F25, 21) (dual of [15652, 15584, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(2569, 15655, F25, 21) (dual of [15655, 15586, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(2570, 15657, F25, 21) (dual of [15657, 15587, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(2571, 15660, F25, 21) (dual of [15660, 15589, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(2567, 15652, F25, 20) (dual of [15652, 15585, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(2568, 15655, F25, 20) (dual of [15655, 15587, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(2569, 15657, F25, 20) (dual of [15657, 15588, 21]-code) | [i] | ✔ | |
| 23 | Linear OA(2579, 15668, F25, 23) (dual of [15668, 15589, 24]-code) | [i] | ✔ | |