Information on Result #699929
Linear OA(12825, 16384, F128, 13) (dual of [16384, 16359, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(12827, 16386, F128, 14) (dual of [16386, 16359, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12825, 16386, F128, 13) (dual of [16386, 16361, 14]-code) | [i] | ✔ | |
| 3 | Linear OA(12833, 16392, F128, 16) (dual of [16392, 16359, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(12827, 16392, F128, 13) (dual of [16392, 16365, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(12839, 16398, F128, 18) (dual of [16398, 16359, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(12829, 16398, F128, 13) (dual of [16398, 16369, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(12845, 16404, F128, 20) (dual of [16404, 16359, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(12851, 16410, F128, 22) (dual of [16410, 16359, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(12857, 16416, F128, 24) (dual of [16416, 16359, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(12863, 16422, F128, 26) (dual of [16422, 16359, 27]-code) | [i] | ✔ | |
| 11 | Linear OOA(12825, 4096, F128, 4, 13) (dual of [(4096, 4), 16359, 14]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(12825, 2730, F128, 13, 13) (dual of [(2730, 13), 35465, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |