Information on Result #699905
Linear OA(12857, 16384, F128, 29) (dual of [16384, 16327, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(12859, 16386, F128, 30) (dual of [16386, 16327, 31]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12857, 16386, F128, 29) (dual of [16386, 16329, 30]-code) | [i] | ✔ | |
| 3 | Linear OA(12865, 16392, F128, 32) (dual of [16392, 16327, 33]-code) | [i] | ✔ | |
| 4 | Linear OA(12859, 16392, F128, 29) (dual of [16392, 16333, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(12871, 16398, F128, 34) (dual of [16398, 16327, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(12861, 16398, F128, 29) (dual of [16398, 16337, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(12877, 16404, F128, 36) (dual of [16404, 16327, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(12863, 16404, F128, 29) (dual of [16404, 16341, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(12865, 16410, F128, 29) (dual of [16410, 16345, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(12867, 16416, F128, 29) (dual of [16416, 16349, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(12869, 16422, F128, 29) (dual of [16422, 16353, 30]-code) | [i] | ✔ | |
| 12 | Linear OOA(12857, 4096, F128, 4, 29) (dual of [(4096, 4), 16327, 30]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(12857, 1170, F128, 29, 29) (dual of [(1170, 29), 33873, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |