Information on Result #696820
Linear OA(3291, 32771, F32, 31) (dual of [32771, 32680, 32]-code), using construction X applied to Ce(30) ⊂ Ce(29) based on
- linear OA(3291, 32768, F32, 31) (dual of [32768, 32677, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3288, 32768, F32, 30) (dual of [32768, 32680, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-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(16114, 32771, S16, 31) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(32109, 32835, F32, 31) (dual of [32835, 32726, 32]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(32110, 32837, F32, 31) (dual of [32837, 32727, 32]-code) | [i] | ||
| 4 | Linear OOA(3291, 16385, F32, 2, 31) (dual of [(16385, 2), 32679, 32]-NRT-code) | [i] | OOA Folding | |