Information on Result #616767
Linear OA(2531, 15626, F25, 11) (dual of [15626, 15595, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(2536, 15652, F25, 11) (dual of [15652, 15616, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2537, 15655, F25, 11) (dual of [15655, 15618, 12]-code) | [i] | ||
| 3 | Linear OA(2538, 16227, F25, 11) (dual of [16227, 16189, 12]-code) | [i] | ||
| 4 | Linear OA(2540, 16252, F25, 11) (dual of [16252, 16212, 12]-code) | [i] | ||
| 5 | Linear OA(2540, 16253, F25, 11) (dual of [16253, 16213, 12]-code) | [i] | ||
| 6 | Linear OA(2540, 15638, F25, 11) (dual of [15638, 15598, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 7 | Linear OA(2539, 15678, F25, 11) (dual of [15678, 15639, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(2540, 15681, F25, 11) (dual of [15681, 15641, 12]-code) | [i] | ||
| 9 | Linear OA(2536, 15632, F25, 11) (dual of [15632, 15596, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(2538, 15633, F25, 13) (dual of [15633, 15595, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(2532, 15633, F25, 11) (dual of [15633, 15601, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(2546, 15641, F25, 15) (dual of [15641, 15595, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(2534, 15641, F25, 11) (dual of [15641, 15607, 12]-code) | [i] | ✔ | |
| 14 | Linear OA(2554, 15649, F25, 17) (dual of [15649, 15595, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(2562, 15652, F25, 19) (dual of [15652, 15590, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(2563, 15655, F25, 19) (dual of [15655, 15592, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(2564, 15657, F25, 19) (dual of [15657, 15593, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(2565, 15660, F25, 19) (dual of [15660, 15595, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(2561, 15652, F25, 18) (dual of [15652, 15591, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(2562, 15655, F25, 18) (dual of [15655, 15593, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(2563, 15657, F25, 18) (dual of [15657, 15594, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(2573, 15668, F25, 21) (dual of [15668, 15595, 22]-code) | [i] | ✔ | |
| 23 | Linear OOA(2531, 3125, F25, 11, 11) (dual of [(3125, 11), 34344, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |