Information on Result #616807
Linear OA(2543, 15626, F25, 15) (dual of [15626, 15583, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(2550, 15652, F25, 15) (dual of [15652, 15602, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2551, 15655, F25, 15) (dual of [15655, 15604, 16]-code) | [i] | ||
| 3 | Linear OA(2552, 15657, F25, 15) (dual of [15657, 15605, 16]-code) | [i] | ||
| 4 | Linear OA(2553, 15678, F25, 15) (dual of [15678, 15625, 16]-code) | [i] | ||
| 5 | Linear OA(2554, 15704, F25, 15) (dual of [15704, 15650, 16]-code) | [i] | ||
| 6 | Linear OA(2556, 16252, F25, 15) (dual of [16252, 16196, 16]-code) | [i] | ||
| 7 | Linear OA(2556, 15641, F25, 15) (dual of [15641, 15585, 16]-code) | [i] | Generalized (u, u+v)-Construction | |
| 8 | Linear OA(2555, 15678, F25, 15) (dual of [15678, 15623, 16]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(2556, 15681, F25, 15) (dual of [15681, 15625, 16]-code) | [i] | ||
| 10 | Linear OA(2550, 15634, F25, 15) (dual of [15634, 15584, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 11 | Linear OA(2550, 15633, F25, 17) (dual of [15633, 15583, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(2544, 15633, F25, 15) (dual of [15633, 15589, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(2558, 15641, F25, 19) (dual of [15641, 15583, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(2546, 15641, F25, 15) (dual of [15641, 15595, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(2566, 15649, F25, 21) (dual of [15649, 15583, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(2548, 15649, F25, 15) (dual of [15649, 15601, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(2574, 15652, F25, 23) (dual of [15652, 15578, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(2575, 15655, F25, 23) (dual of [15655, 15580, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(2576, 15657, F25, 23) (dual of [15657, 15581, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(2577, 15660, F25, 23) (dual of [15660, 15583, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(2573, 15652, F25, 22) (dual of [15652, 15579, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(2574, 15655, F25, 22) (dual of [15655, 15581, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(2575, 15657, F25, 22) (dual of [15657, 15582, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(2585, 15668, F25, 25) (dual of [15668, 15583, 26]-code) | [i] | ✔ | |