Information on Result #619642
Linear OA(12843, 16384, F128, 22) (dual of [16384, 16341, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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(12854, 16513, F128, 22) (dual of [16513, 16459, 23]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12855, 16534, F128, 22) (dual of [16534, 16479, 23]-code) | [i] | ||
| 3 | Linear OA(12856, 16536, F128, 22) (dual of [16536, 16480, 23]-code) | [i] | ||
| 4 | Linear OA(12857, 16576, F128, 22) (dual of [16576, 16519, 23]-code) | [i] | ||
| 5 | Linear OA(12858, 16578, F128, 22) (dual of [16578, 16520, 23]-code) | [i] | ||
| 6 | Linear OA(12859, 16640, F128, 22) (dual of [16640, 16581, 23]-code) | [i] | ||
| 7 | Linear OA(12861, 16766, F128, 22) (dual of [16766, 16705, 23]-code) | [i] | ||
| 8 | Linear OA(12862, 16771, F128, 22) (dual of [16771, 16709, 23]-code) | [i] | ||
| 9 | Linear OA(12863, 16792, F128, 22) (dual of [16792, 16729, 23]-code) | [i] | ||
| 10 | Linear OA(12859, 16642, F128, 22) (dual of [16642, 16583, 23]-code) | [i] | ||
| 11 | Linear OA(12860, 16663, F128, 22) (dual of [16663, 16603, 23]-code) | [i] | ||
| 12 | Linear OA(12863, 16405, F128, 22) (dual of [16405, 16342, 23]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(12862, 16404, F128, 22) (dual of [16404, 16342, 23]-code) | [i] | ||
| 14 | Linear OA(12860, 16402, F128, 22) (dual of [16402, 16342, 23]-code) | [i] | ||
| 15 | Linear OA(12862, 16405, F128, 22) (dual of [16405, 16343, 23]-code) | [i] | ||
| 16 | Linear OA(12863, 16408, F128, 22) (dual of [16408, 16345, 23]-code) | [i] | ||
| 17 | Linear OA(12858, 16400, F128, 22) (dual of [16400, 16342, 23]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 18 | Linear OA(12859, 16402, F128, 22) (dual of [16402, 16343, 23]-code) | [i] | ||
| 19 | Linear OA(12860, 16404, F128, 22) (dual of [16404, 16344, 23]-code) | [i] | ||
| 20 | Linear OA(12861, 16642, F128, 22) (dual of [16642, 16581, 23]-code) | [i] | ||
| 21 | Linear OA(12862, 16663, F128, 22) (dual of [16663, 16601, 23]-code) | [i] | ||
| 22 | Linear OA(12863, 16684, F128, 22) (dual of [16684, 16621, 23]-code) | [i] | ||
| 23 | Linear OA(12845, 16386, F128, 23) (dual of [16386, 16341, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 24 | Linear OA(12843, 16386, F128, 22) (dual of [16386, 16343, 23]-code) | [i] | ✔ | |
| 25 | Linear OA(12848, 16389, F128, 24) (dual of [16389, 16341, 25]-code) | [i] | ✔ | |
| 26 | Linear OA(12844, 16389, F128, 22) (dual of [16389, 16345, 23]-code) | [i] | ✔ | |
| 27 | Linear OA(12851, 16392, F128, 25) (dual of [16392, 16341, 26]-code) | [i] | ✔ | |
| 28 | Linear OA(12845, 16392, F128, 22) (dual of [16392, 16347, 23]-code) | [i] | ✔ | |
| 29 | Linear OA(12854, 16395, F128, 26) (dual of [16395, 16341, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(12846, 16395, F128, 22) (dual of [16395, 16349, 23]-code) | [i] | ✔ | |
| 31 | Linear OA(12857, 16398, F128, 27) (dual of [16398, 16341, 28]-code) | [i] | ✔ | |
| 32 | Linear OA(12847, 16398, F128, 22) (dual of [16398, 16351, 23]-code) | [i] | ✔ | |
| 33 | Linear OA(12860, 16401, F128, 28) (dual of [16401, 16341, 29]-code) | [i] | ✔ | |
| 34 | Linear OA(12848, 16401, F128, 22) (dual of [16401, 16353, 23]-code) | [i] | ✔ | |
| 35 | Linear OA(12863, 16404, F128, 29) (dual of [16404, 16341, 30]-code) | [i] | ✔ | |
| 36 | Linear OA(12849, 16404, F128, 22) (dual of [16404, 16355, 23]-code) | [i] | ✔ | |
| 37 | Linear OA(12866, 16407, F128, 30) (dual of [16407, 16341, 31]-code) | [i] | ✔ | |
| 38 | Linear OA(12850, 16407, F128, 22) (dual of [16407, 16357, 23]-code) | [i] | ✔ | |
| 39 | Linear OA(12869, 16410, F128, 31) (dual of [16410, 16341, 32]-code) | [i] | ✔ | |
| 40 | Linear OA(12851, 16410, F128, 22) (dual of [16410, 16359, 23]-code) | [i] | ✔ | |
| 41 | Linear OA(12872, 16413, F128, 32) (dual of [16413, 16341, 33]-code) | [i] | ✔ | |
| 42 | Linear OA(12852, 16413, F128, 22) (dual of [16413, 16361, 23]-code) | [i] | ✔ | |
| 43 | Linear OA(12875, 16416, F128, 33) (dual of [16416, 16341, 34]-code) | [i] | ✔ | |
| 44 | Linear OA(12853, 16416, F128, 22) (dual of [16416, 16363, 23]-code) | [i] | ✔ | |
| 45 | Linear OA(12878, 16419, F128, 34) (dual of [16419, 16341, 35]-code) | [i] | ✔ | |
| 46 | Linear OOA(12843, 4096, F128, 4, 22) (dual of [(4096, 4), 16341, 23]-NRT-code) | [i] | OOA Folding | |
| 47 | Linear OOA(12843, 1489, F128, 22, 22) (dual of [(1489, 22), 32715, 23]-NRT-code) | [i] | OA Folding and Stacking | |