Information on Result #619648
Linear OA(12845, 16385, F128, 23) (dual of [16385, 16340, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(12856, 16514, F128, 23) (dual of [16514, 16458, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12857, 16535, F128, 23) (dual of [16535, 16478, 24]-code) | [i] | ||
| 3 | Linear OA(12858, 16537, F128, 23) (dual of [16537, 16479, 24]-code) | [i] | ||
| 4 | Linear OA(12859, 16577, F128, 23) (dual of [16577, 16518, 24]-code) | [i] | ||
| 5 | Linear OA(12860, 16579, F128, 23) (dual of [16579, 16519, 24]-code) | [i] | ||
| 6 | Linear OA(12861, 16641, F128, 23) (dual of [16641, 16580, 24]-code) | [i] | ||
| 7 | Linear OA(12863, 16767, F128, 23) (dual of [16767, 16704, 24]-code) | [i] | ||
| 8 | Linear OA(12864, 16772, F128, 23) (dual of [16772, 16708, 24]-code) | [i] | ||
| 9 | Linear OA(12865, 16793, F128, 23) (dual of [16793, 16728, 24]-code) | [i] | ||
| 10 | Linear OA(12866, 32770, F128, 23) (dual of [32770, 32704, 24]-code) | [i] | ||
| 11 | Linear OA(12861, 16643, F128, 23) (dual of [16643, 16582, 24]-code) | [i] | ||
| 12 | Linear OA(12862, 16664, F128, 23) (dual of [16664, 16602, 24]-code) | [i] | ||
| 13 | Linear OA(12866, 16409, F128, 23) (dual of [16409, 16343, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
| 14 | Linear OA(12864, 16406, F128, 23) (dual of [16406, 16342, 24]-code) | [i] | ||
| 15 | Linear OA(12865, 16409, F128, 23) (dual of [16409, 16344, 24]-code) | [i] | ||
| 16 | Linear OA(12866, 16412, F128, 23) (dual of [16412, 16346, 24]-code) | [i] | ||
| 17 | Linear OA(12861, 16403, F128, 23) (dual of [16403, 16342, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 18 | Linear OA(12862, 16405, F128, 23) (dual of [16405, 16343, 24]-code) | [i] | ||
| 19 | Linear OA(12863, 16643, F128, 23) (dual of [16643, 16580, 24]-code) | [i] | ||
| 20 | Linear OA(12864, 16664, F128, 23) (dual of [16664, 16600, 24]-code) | [i] | ||
| 21 | Linear OA(12865, 16685, F128, 23) (dual of [16685, 16620, 24]-code) | [i] | ||
| 22 | Linear OA(12866, 16687, F128, 23) (dual of [16687, 16621, 24]-code) | [i] | ||
| 23 | Linear OA(12866, 16706, F128, 23) (dual of [16706, 16640, 24]-code) | [i] | ||
| 24 | Linear OA(12855, 16396, F128, 23) (dual of [16396, 16341, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 25 | Linear OA(12850, 16390, F128, 25) (dual of [16390, 16340, 26]-code) | [i] | ✔ | |
| 26 | Linear OA(12846, 16390, F128, 23) (dual of [16390, 16344, 24]-code) | [i] | ✔ | |
| 27 | Linear OA(12856, 16396, F128, 27) (dual of [16396, 16340, 28]-code) | [i] | ✔ | |
| 28 | Linear OA(12848, 16396, F128, 23) (dual of [16396, 16348, 24]-code) | [i] | ✔ | |
| 29 | Linear OA(12862, 16402, F128, 29) (dual of [16402, 16340, 30]-code) | [i] | ✔ | |
| 30 | Linear OA(12850, 16402, F128, 23) (dual of [16402, 16352, 24]-code) | [i] | ✔ | |
| 31 | Linear OA(12868, 16408, F128, 31) (dual of [16408, 16340, 32]-code) | [i] | ✔ | |
| 32 | Linear OA(12852, 16408, F128, 23) (dual of [16408, 16356, 24]-code) | [i] | ✔ | |
| 33 | Linear OA(12874, 16414, F128, 33) (dual of [16414, 16340, 34]-code) | [i] | ✔ | |
| 34 | Linear OA(12854, 16414, F128, 23) (dual of [16414, 16360, 24]-code) | [i] | ✔ | |