Information on Result #619590
Linear OA(12829, 16385, F128, 15) (dual of [16385, 16356, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, 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(12836, 16514, F128, 15) (dual of [16514, 16478, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12837, 16535, F128, 15) (dual of [16535, 16498, 16]-code) | [i] | ||
| 3 | Linear OA(12838, 16537, F128, 15) (dual of [16537, 16499, 16]-code) | [i] | ||
| 4 | Linear OA(12839, 16641, F128, 15) (dual of [16641, 16602, 16]-code) | [i] | ||
| 5 | Linear OA(12840, 16767, F128, 15) (dual of [16767, 16727, 16]-code) | [i] | ||
| 6 | Linear OA(12841, 16772, F128, 15) (dual of [16772, 16731, 16]-code) | [i] | ||
| 7 | Linear OA(12842, 32770, F128, 15) (dual of [32770, 32728, 16]-code) | [i] | ||
| 8 | Linear OA(12839, 16643, F128, 15) (dual of [16643, 16604, 16]-code) | [i] | ||
| 9 | Linear OA(12842, 16400, F128, 15) (dual of [16400, 16358, 16]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(12841, 16643, F128, 15) (dual of [16643, 16602, 16]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(12842, 16664, F128, 15) (dual of [16664, 16622, 16]-code) | [i] | ||
| 12 | Linear OA(12835, 16392, F128, 15) (dual of [16392, 16357, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 13 | Linear OA(12834, 16390, F128, 17) (dual of [16390, 16356, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(12830, 16390, F128, 15) (dual of [16390, 16360, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(12840, 16396, F128, 19) (dual of [16396, 16356, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(12832, 16396, F128, 15) (dual of [16396, 16364, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(12846, 16402, F128, 21) (dual of [16402, 16356, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(12834, 16402, F128, 15) (dual of [16402, 16368, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(12852, 16408, F128, 23) (dual of [16408, 16356, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(12858, 16414, F128, 25) (dual of [16414, 16356, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(12864, 16420, F128, 27) (dual of [16420, 16356, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(12870, 16426, F128, 29) (dual of [16426, 16356, 30]-code) | [i] | ✔ | |