Information on Result #699899
Linear OA(12865, 16384, F128, 33) (dual of [16384, 16319, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33
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(12867, 16386, F128, 34) (dual of [16386, 16319, 35]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12865, 16386, F128, 33) (dual of [16386, 16321, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(12873, 16392, F128, 36) (dual of [16392, 16319, 37]-code) | [i] | ✔ | |
| 4 | Linear OA(12867, 16392, F128, 33) (dual of [16392, 16325, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(12869, 16398, F128, 33) (dual of [16398, 16329, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(12871, 16404, F128, 33) (dual of [16404, 16333, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(12873, 16410, F128, 33) (dual of [16410, 16337, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(12875, 16416, F128, 33) (dual of [16416, 16341, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(12877, 16422, F128, 33) (dual of [16422, 16345, 34]-code) | [i] | ✔ | |
| 10 | Linear OOA(12865, 4096, F128, 4, 33) (dual of [(4096, 4), 16319, 34]-NRT-code) | [i] | OOA Folding | |