Information on Result #699923
Linear OA(12833, 16384, F128, 17) (dual of [16384, 16351, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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(12835, 16386, F128, 18) (dual of [16386, 16351, 19]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12833, 16386, F128, 17) (dual of [16386, 16353, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(12841, 16392, F128, 20) (dual of [16392, 16351, 21]-code) | [i] | ✔ | |
| 4 | Linear OA(12835, 16392, F128, 17) (dual of [16392, 16357, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(12847, 16398, F128, 22) (dual of [16398, 16351, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(12837, 16398, F128, 17) (dual of [16398, 16361, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(12853, 16404, F128, 24) (dual of [16404, 16351, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(12839, 16404, F128, 17) (dual of [16404, 16365, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(12859, 16410, F128, 26) (dual of [16410, 16351, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(12865, 16416, F128, 28) (dual of [16416, 16351, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(12871, 16422, F128, 30) (dual of [16422, 16351, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(12877, 16428, F128, 32) (dual of [16428, 16351, 33]-code) | [i] | ✔ | |
| 13 | Linear OOA(12833, 4096, F128, 4, 17) (dual of [(4096, 4), 16351, 18]-NRT-code) | [i] | OOA Folding | |