Information on Result #618261
Linear OA(3282, 32768, F32, 28) (dual of [32768, 32686, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28
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(3296, 32801, F32, 28) (dual of [32801, 32705, 29]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3297, 32812, F32, 28) (dual of [32812, 32715, 29]-code) | [i] | ||
| 3 | Linear OA(3298, 32814, F32, 28) (dual of [32814, 32716, 29]-code) | [i] | ||
| 4 | Linear OA(3299, 32832, F32, 28) (dual of [32832, 32733, 29]-code) | [i] | ||
| 5 | Linear OA(32100, 32834, F32, 28) (dual of [32834, 32734, 29]-code) | [i] | ||
| 6 | Linear OA(32101, 32844, F32, 28) (dual of [32844, 32743, 29]-code) | [i] | ||
| 7 | Linear OA(32102, 32846, F32, 28) (dual of [32846, 32744, 29]-code) | [i] | ||
| 8 | Linear OA(32103, 32866, F32, 28) (dual of [32866, 32763, 29]-code) | [i] | ||
| 9 | Linear OA(32104, 32868, F32, 28) (dual of [32868, 32764, 29]-code) | [i] | ||
| 10 | Linear OA(32105, 32872, F32, 28) (dual of [32872, 32767, 29]-code) | [i] | ||
| 11 | Linear OA(32106, 32874, F32, 28) (dual of [32874, 32768, 29]-code) | [i] | ||
| 12 | Linear OA(32107, 32888, F32, 28) (dual of [32888, 32781, 29]-code) | [i] | ||
| 13 | Linear OA(32108, 33110, F32, 28) (dual of [33110, 33002, 29]-code) | [i] | ||
| 14 | Linear OA(32108, 32795, F32, 28) (dual of [32795, 32687, 29]-code) | [i] | Generalized (u, u+v)-Construction | |
| 15 | Linear OA(32106, 32793, F32, 28) (dual of [32793, 32687, 29]-code) | [i] | ||
| 16 | Linear OA(32105, 32792, F32, 28) (dual of [32792, 32687, 29]-code) | [i] | ||
| 17 | Linear OA(32108, 32796, F32, 28) (dual of [32796, 32688, 29]-code) | [i] | ||
| 18 | Linear OA(32107, 32795, F32, 28) (dual of [32795, 32688, 29]-code) | [i] | ||
| 19 | Linear OA(32108, 32798, F32, 28) (dual of [32798, 32690, 29]-code) | [i] | ||
| 20 | Linear OOA(3282, 16623, F32, 2, 28) (dual of [(16623, 2), 33164, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 21 | Digital (54, 82, 16623)-net over F32 | [i] | ||
| 22 | Linear OA(32101, 32788, F32, 28) (dual of [32788, 32687, 29]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 23 | Linear OA(32102, 32790, F32, 28) (dual of [32790, 32688, 29]-code) | [i] | ||
| 24 | Linear OA(32103, 32792, F32, 28) (dual of [32792, 32689, 29]-code) | [i] | ||
| 25 | Linear OA(32104, 32794, F32, 28) (dual of [32794, 32690, 29]-code) | [i] | ||
| 26 | Linear OA(32105, 32834, F32, 28) (dual of [32834, 32729, 29]-code) | [i] | ||
| 27 | Linear OA(32106, 32845, F32, 28) (dual of [32845, 32739, 29]-code) | [i] | ||
| 28 | Linear OA(32107, 32856, F32, 28) (dual of [32856, 32749, 29]-code) | [i] | ||
| 29 | Linear OA(32108, 32858, F32, 28) (dual of [32858, 32750, 29]-code) | [i] | ||
| 30 | Linear OA(32108, 32865, F32, 28) (dual of [32865, 32757, 29]-code) | [i] | ||
| 31 | Linear OA(3285, 32771, F32, 29) (dual of [32771, 32686, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 32 | Linear OA(3282, 32771, F32, 28) (dual of [32771, 32689, 29]-code) | [i] | ✔ | |
| 33 | Linear OA(3289, 32775, F32, 30) (dual of [32775, 32686, 31]-code) | [i] | ✔ | |
| 34 | Linear OA(3283, 32775, F32, 28) (dual of [32775, 32692, 29]-code) | [i] | ✔ | |
| 35 | Linear OA(3293, 32779, F32, 31) (dual of [32779, 32686, 32]-code) | [i] | ✔ | |
| 36 | Linear OA(3284, 32779, F32, 28) (dual of [32779, 32695, 29]-code) | [i] | ✔ | |
| 37 | Linear OA(3298, 32784, F32, 33) (dual of [32784, 32686, 34]-code) | [i] | ✔ | |
| 38 | Linear OA(3285, 32783, F32, 28) (dual of [32783, 32698, 29]-code) | [i] | ✔ | |
| 39 | Linear OA(32102, 32788, F32, 34) (dual of [32788, 32686, 35]-code) | [i] | ✔ | |
| 40 | Linear OA(3286, 32787, F32, 28) (dual of [32787, 32701, 29]-code) | [i] | ✔ | |
| 41 | Linear OA(32106, 32792, F32, 35) (dual of [32792, 32686, 36]-code) | [i] | ✔ | |
| 42 | Linear OA(3287, 32791, F32, 28) (dual of [32791, 32704, 29]-code) | [i] | ✔ | |
| 43 | Linear OA(32110, 32796, F32, 36) (dual of [32796, 32686, 37]-code) | [i] | ✔ | |
| 44 | Linear OA(3288, 32795, F32, 28) (dual of [32795, 32707, 29]-code) | [i] | ✔ | |
| 45 | Linear OA(3289, 32799, F32, 28) (dual of [32799, 32710, 29]-code) | [i] | ✔ | |
| 46 | Linear OA(3290, 32801, F32, 28) (dual of [32801, 32711, 29]-code) | [i] | ✔ | |
| 47 | Linear OA(3291, 32804, F32, 28) (dual of [32804, 32713, 29]-code) | [i] | ✔ | |
| 48 | Linear OA(3292, 32808, F32, 28) (dual of [32808, 32716, 29]-code) | [i] | ✔ | |
| 49 | Linear OA(3293, 32812, F32, 28) (dual of [32812, 32719, 29]-code) | [i] | ✔ | |
| 50 | Linear OA(3296, 32818, F32, 28) (dual of [32818, 32722, 29]-code) | [i] | ✔ | |
| 51 | Linear OA(3297, 32822, F32, 28) (dual of [32822, 32725, 29]-code) | [i] | ✔ | |
| 52 | Linear OA(3298, 32826, F32, 28) (dual of [32826, 32728, 29]-code) | [i] | ✔ | |
| 53 | Linear OOA(3282, 2340, F32, 28, 28) (dual of [(2340, 28), 65438, 29]-NRT-code) | [i] | OA Folding and Stacking | |