Information on Result #619708
Linear OA(12871, 16384, F128, 36) (dual of [16384, 16313, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36
Mode: Constructive and linear.
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(12873, 16386, F128, 37) (dual of [16386, 16313, 38]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12871, 16386, F128, 36) (dual of [16386, 16315, 37]-code) | [i] | ✔ | |
| 3 | Linear OA(12876, 16389, F128, 38) (dual of [16389, 16313, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(12872, 16389, F128, 36) (dual of [16389, 16317, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(12873, 16392, F128, 36) (dual of [16392, 16319, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(12874, 16395, F128, 36) (dual of [16395, 16321, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(12875, 16398, F128, 36) (dual of [16398, 16323, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(12876, 16401, F128, 36) (dual of [16401, 16325, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(12877, 16404, F128, 36) (dual of [16404, 16327, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(12878, 16407, F128, 36) (dual of [16407, 16329, 37]-code) | [i] | ✔ | |
| 11 | Linear OOA(12871, 4096, F128, 4, 36) (dual of [(4096, 4), 16313, 37]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(12871, 910, F128, 36, 36) (dual of [(910, 36), 32689, 37]-NRT-code) | [i] | OA Folding and Stacking | |