Information on Result #619694
Linear OA(12863, 16384, F128, 32) (dual of [16384, 16321, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32
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(12865, 16386, F128, 33) (dual of [16386, 16321, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12863, 16386, F128, 32) (dual of [16386, 16323, 33]-code) | [i] | ✔ | |
| 3 | Linear OA(12868, 16389, F128, 34) (dual of [16389, 16321, 35]-code) | [i] | ✔ | |
| 4 | Linear OA(12864, 16389, F128, 32) (dual of [16389, 16325, 33]-code) | [i] | ✔ | |
| 5 | Linear OA(12871, 16392, F128, 35) (dual of [16392, 16321, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(12865, 16392, F128, 32) (dual of [16392, 16327, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(12874, 16395, F128, 36) (dual of [16395, 16321, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(12866, 16395, F128, 32) (dual of [16395, 16329, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(12877, 16398, F128, 37) (dual of [16398, 16321, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(12867, 16398, F128, 32) (dual of [16398, 16331, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(12868, 16401, F128, 32) (dual of [16401, 16333, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(12869, 16404, F128, 32) (dual of [16404, 16335, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(12870, 16407, F128, 32) (dual of [16407, 16337, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(12871, 16410, F128, 32) (dual of [16410, 16339, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(12872, 16413, F128, 32) (dual of [16413, 16341, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(12873, 16416, F128, 32) (dual of [16416, 16343, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(12874, 16419, F128, 32) (dual of [16419, 16345, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(12875, 16422, F128, 32) (dual of [16422, 16347, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(12876, 16425, F128, 32) (dual of [16425, 16349, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(12877, 16428, F128, 32) (dual of [16428, 16351, 33]-code) | [i] | ✔ | |
| 21 | Linear OA(12878, 16431, F128, 32) (dual of [16431, 16353, 33]-code) | [i] | ✔ | |
| 22 | Linear OOA(12863, 4096, F128, 4, 32) (dual of [(4096, 4), 16321, 33]-NRT-code) | [i] | OOA Folding | |
| 23 | Linear OOA(12863, 1024, F128, 32, 32) (dual of [(1024, 32), 32705, 33]-NRT-code) | [i] | OA Folding and Stacking | |