Information on Result #733840
Linear OA(32109, 32835, F32, 31) (dual of [32835, 32726, 32]-code), using (u, u+v)-construction based on
- linear OA(3218, 64, F32, 15) (dual of [64, 46, 16]-code), using
- extended algebraic-geometric code AGe(F,48P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3291, 32771, F32, 31) (dual of [32771, 32680, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] 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
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
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 OOA(32109, 16417, F32, 2, 31) (dual of [(16417, 2), 32725, 32]-NRT-code) | [i] | OOA Folding | |