Information on Result #619661
Linear OA(12849, 16385, F128, 25) (dual of [16385, 16336, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(12861, 16514, F128, 25) (dual of [16514, 16453, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12862, 16535, F128, 25) (dual of [16535, 16473, 26]-code) | [i] | ||
| 3 | Linear OA(12863, 16537, F128, 25) (dual of [16537, 16474, 26]-code) | [i] | ||
| 4 | Linear OA(12864, 16577, F128, 25) (dual of [16577, 16513, 26]-code) | [i] | ||
| 5 | Linear OA(12865, 16579, F128, 25) (dual of [16579, 16514, 26]-code) | [i] | ||
| 6 | Linear OA(12866, 16601, F128, 25) (dual of [16601, 16535, 26]-code) | [i] | ||
| 7 | Linear OA(12867, 16641, F128, 25) (dual of [16641, 16574, 26]-code) | [i] | ||
| 8 | Linear OA(12869, 16767, F128, 25) (dual of [16767, 16698, 26]-code) | [i] | ||
| 9 | Linear OA(12871, 16772, F128, 25) (dual of [16772, 16701, 26]-code) | [i] | ||
| 10 | Linear OA(12872, 32769, F128, 25) (dual of [32769, 32697, 26]-code) | [i] | ||
| 11 | Linear OA(12867, 16643, F128, 25) (dual of [16643, 16576, 26]-code) | [i] | ||
| 12 | Linear OA(12868, 16664, F128, 25) (dual of [16664, 16596, 26]-code) | [i] | ||
| 13 | Linear OA(12871, 16409, F128, 25) (dual of [16409, 16338, 26]-code) | [i] | Generalized (u, u+v)-Construction | |
| 14 | Linear OA(12872, 16412, F128, 25) (dual of [16412, 16340, 26]-code) | [i] | ||
| 15 | Linear OA(12867, 16405, F128, 25) (dual of [16405, 16338, 26]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(12868, 16407, F128, 25) (dual of [16407, 16339, 26]-code) | [i] | ||
| 17 | Linear OA(12869, 16643, F128, 25) (dual of [16643, 16574, 26]-code) | [i] | ||
| 18 | Linear OA(12870, 16664, F128, 25) (dual of [16664, 16594, 26]-code) | [i] | ||
| 19 | Linear OA(12871, 16685, F128, 25) (dual of [16685, 16614, 26]-code) | [i] | ||
| 20 | Linear OA(12872, 16687, F128, 25) (dual of [16687, 16615, 26]-code) | [i] | ||
| 21 | Linear OA(12872, 16706, F128, 25) (dual of [16706, 16634, 26]-code) | [i] | ||
| 22 | Linear OA(12861, 16398, F128, 25) (dual of [16398, 16337, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 23 | Linear OA(12854, 16390, F128, 27) (dual of [16390, 16336, 28]-code) | [i] | ✔ | |
| 24 | Linear OA(12850, 16390, F128, 25) (dual of [16390, 16340, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(12860, 16396, F128, 29) (dual of [16396, 16336, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(12852, 16396, F128, 25) (dual of [16396, 16344, 26]-code) | [i] | ✔ | |
| 27 | Linear OA(12866, 16402, F128, 31) (dual of [16402, 16336, 32]-code) | [i] | ✔ | |
| 28 | Linear OA(12854, 16402, F128, 25) (dual of [16402, 16348, 26]-code) | [i] | ✔ | |
| 29 | Linear OA(12872, 16408, F128, 33) (dual of [16408, 16336, 34]-code) | [i] | ✔ | |
| 30 | Linear OA(12856, 16408, F128, 25) (dual of [16408, 16352, 26]-code) | [i] | ✔ | |
| 31 | Linear OA(12878, 16414, F128, 35) (dual of [16414, 16336, 36]-code) | [i] | ✔ | |
| 32 | Linear OA(12858, 16414, F128, 25) (dual of [16414, 16356, 26]-code) | [i] | ✔ | |
| 33 | Linear OA(12860, 16420, F128, 25) (dual of [16420, 16360, 26]-code) | [i] | ✔ | |