Information on Result #699944
Linear OA(12876, 16389, F128, 38) (dual of [16389, 16313, 39]-code), using construction X applied to Ce(37) ⊂ Ce(35) based on
- 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 [i]
- 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 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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 | OA(32107, 16389, S32, 38) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6489, 16389, S64, 38) | [i] | ||
| 3 | Linear OOA(12876, 8194, F128, 2, 38) (dual of [(8194, 2), 16312, 39]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(12876, 5463, F128, 3, 38) (dual of [(5463, 3), 16313, 39]-NRT-code) | [i] | ||
| 5 | Linear OOA(12876, 4097, F128, 4, 38) (dual of [(4097, 4), 16312, 39]-NRT-code) | [i] | ||