Information on Result #699896
Linear OA(12869, 16384, F128, 35) (dual of [16384, 16315, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35
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(12871, 16386, F128, 36) (dual of [16386, 16315, 37]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12869, 16386, F128, 35) (dual of [16386, 16317, 36]-code) | [i] | ✔ | |
| 3 | Linear OA(12877, 16392, F128, 38) (dual of [16392, 16315, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(12871, 16392, F128, 35) (dual of [16392, 16321, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(12873, 16398, F128, 35) (dual of [16398, 16325, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(12875, 16404, F128, 35) (dual of [16404, 16329, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(12877, 16410, F128, 35) (dual of [16410, 16333, 36]-code) | [i] | ✔ | |
| 8 | Linear OOA(12869, 4096, F128, 4, 35) (dual of [(4096, 4), 16315, 36]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(12869, 963, F128, 35, 35) (dual of [(963, 35), 33636, 36]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |