Information on Result #619715
Linear OA(12875, 16384, F128, 38) (dual of [16384, 16309, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38
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(12877, 16386, F128, 39) (dual of [16386, 16309, 40]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12875, 16386, F128, 38) (dual of [16386, 16311, 39]-code) | [i] | ✔ | |
| 3 | Linear OA(12876, 16389, F128, 38) (dual of [16389, 16313, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(12877, 16392, F128, 38) (dual of [16392, 16315, 39]-code) | [i] | ✔ | |
| 5 | Linear OA(12878, 16395, F128, 38) (dual of [16395, 16317, 39]-code) | [i] | ✔ | |
| 6 | Linear OOA(12875, 4096, F128, 4, 38) (dual of [(4096, 4), 16309, 39]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(12875, 862, F128, 38, 38) (dual of [(862, 38), 32681, 39]-NRT-code) | [i] | OA Folding and Stacking | |