Information on Result #619620
Linear OA(12837, 16385, F128, 19) (dual of [16385, 16348, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(12846, 16514, F128, 19) (dual of [16514, 16468, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12847, 16535, F128, 19) (dual of [16535, 16488, 20]-code) | [i] | ||
| 3 | Linear OA(12848, 16537, F128, 19) (dual of [16537, 16489, 20]-code) | [i] | ||
| 4 | Linear OA(12849, 16577, F128, 19) (dual of [16577, 16528, 20]-code) | [i] | ||
| 5 | Linear OA(12850, 16641, F128, 19) (dual of [16641, 16591, 20]-code) | [i] | ||
| 6 | Linear OA(12852, 16767, F128, 19) (dual of [16767, 16715, 20]-code) | [i] | ||
| 7 | Linear OA(12853, 16772, F128, 19) (dual of [16772, 16719, 20]-code) | [i] | ||
| 8 | Linear OA(12854, 32770, F128, 19) (dual of [32770, 32716, 20]-code) | [i] | ||
| 9 | Linear OA(12850, 16643, F128, 19) (dual of [16643, 16593, 20]-code) | [i] | ||
| 10 | Linear OA(12851, 16664, F128, 19) (dual of [16664, 16613, 20]-code) | [i] | ||
| 11 | Linear OA(12854, 16405, F128, 19) (dual of [16405, 16351, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(12853, 16403, F128, 19) (dual of [16403, 16350, 20]-code) | [i] | ||
| 13 | Linear OA(12854, 16406, F128, 19) (dual of [16406, 16352, 20]-code) | [i] | ||
| 14 | Linear OA(12851, 16401, F128, 19) (dual of [16401, 16350, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(12852, 16643, F128, 19) (dual of [16643, 16591, 20]-code) | [i] | ||
| 16 | Linear OA(12853, 16664, F128, 19) (dual of [16664, 16611, 20]-code) | [i] | ||
| 17 | Linear OA(12854, 16685, F128, 19) (dual of [16685, 16631, 20]-code) | [i] | ||
| 18 | Linear OA(12845, 16394, F128, 19) (dual of [16394, 16349, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 19 | Linear OA(12842, 16390, F128, 21) (dual of [16390, 16348, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(12838, 16390, F128, 19) (dual of [16390, 16352, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(12848, 16396, F128, 23) (dual of [16396, 16348, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(12840, 16396, F128, 19) (dual of [16396, 16356, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(12854, 16402, F128, 25) (dual of [16402, 16348, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(12842, 16402, F128, 19) (dual of [16402, 16360, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(12860, 16408, F128, 27) (dual of [16408, 16348, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(12844, 16408, F128, 19) (dual of [16408, 16364, 20]-code) | [i] | ✔ | |
| 27 | Linear OA(12866, 16414, F128, 29) (dual of [16414, 16348, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(12872, 16420, F128, 31) (dual of [16420, 16348, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(12878, 16426, F128, 33) (dual of [16426, 16348, 34]-code) | [i] | ✔ | |