Information on Result #619685
Linear OA(12859, 16384, F128, 30) (dual of [16384, 16325, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30
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(12874, 16513, F128, 30) (dual of [16513, 16439, 31]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12875, 16534, F128, 30) (dual of [16534, 16459, 31]-code) | [i] | ||
| 3 | Linear OA(12876, 16536, F128, 30) (dual of [16536, 16460, 31]-code) | [i] | ||
| 4 | Linear OA(12877, 16576, F128, 30) (dual of [16576, 16499, 31]-code) | [i] | ||
| 5 | Linear OA(12878, 16578, F128, 30) (dual of [16578, 16500, 31]-code) | [i] | ||
| 6 | Linear OA(12861, 16386, F128, 31) (dual of [16386, 16325, 32]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(12859, 16386, F128, 30) (dual of [16386, 16327, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(12864, 16389, F128, 32) (dual of [16389, 16325, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(12860, 16389, F128, 30) (dual of [16389, 16329, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(12867, 16392, F128, 33) (dual of [16392, 16325, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(12861, 16392, F128, 30) (dual of [16392, 16331, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(12870, 16395, F128, 34) (dual of [16395, 16325, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(12862, 16395, F128, 30) (dual of [16395, 16333, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(12873, 16398, F128, 35) (dual of [16398, 16325, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(12863, 16398, F128, 30) (dual of [16398, 16335, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(12876, 16401, F128, 36) (dual of [16401, 16325, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(12864, 16401, F128, 30) (dual of [16401, 16337, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(12865, 16404, F128, 30) (dual of [16404, 16339, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(12866, 16407, F128, 30) (dual of [16407, 16341, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(12867, 16410, F128, 30) (dual of [16410, 16343, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(12868, 16413, F128, 30) (dual of [16413, 16345, 31]-code) | [i] | ✔ | |
| 22 | Linear OA(12869, 16416, F128, 30) (dual of [16416, 16347, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(12870, 16419, F128, 30) (dual of [16419, 16349, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(12871, 16422, F128, 30) (dual of [16422, 16351, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(12872, 16425, F128, 30) (dual of [16425, 16353, 31]-code) | [i] | ✔ | |
| 26 | Linear OA(12873, 16428, F128, 30) (dual of [16428, 16355, 31]-code) | [i] | ✔ | |
| 27 | Linear OOA(12859, 4096, F128, 4, 30) (dual of [(4096, 4), 16325, 31]-NRT-code) | [i] | OOA Folding | |
| 28 | Linear OOA(12859, 1092, F128, 30, 30) (dual of [(1092, 30), 32701, 31]-NRT-code) | [i] | OA Folding and Stacking | |