Information on Result #699926
Linear OA(12829, 16384, F128, 15) (dual of [16384, 16355, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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(12831, 16386, F128, 16) (dual of [16386, 16355, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12829, 16386, F128, 15) (dual of [16386, 16357, 16]-code) | [i] | ✔ | |
| 3 | Linear OA(12837, 16392, F128, 18) (dual of [16392, 16355, 19]-code) | [i] | ✔ | |
| 4 | Linear OA(12831, 16392, F128, 15) (dual of [16392, 16361, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(12843, 16398, F128, 20) (dual of [16398, 16355, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(12833, 16398, F128, 15) (dual of [16398, 16365, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(12849, 16404, F128, 22) (dual of [16404, 16355, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(12835, 16404, F128, 15) (dual of [16404, 16369, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(12855, 16410, F128, 24) (dual of [16410, 16355, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(12861, 16416, F128, 26) (dual of [16416, 16355, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(12867, 16422, F128, 28) (dual of [16422, 16355, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(12873, 16428, F128, 30) (dual of [16428, 16355, 31]-code) | [i] | ✔ | |
| 13 | Linear OOA(12829, 4096, F128, 4, 15) (dual of [(4096, 4), 16355, 16]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(12829, 2340, F128, 15, 15) (dual of [(2340, 15), 35071, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |