Information on Result #734333
Linear OA(3251, 32815, F32, 15) (dual of [32815, 32764, 16]-code), using (u, u+v)-construction based on
- linear OA(328, 44, F32, 7) (dual of [44, 36, 8]-code), using
- extended algebraic-geometric code AGe(F,36P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(3243, 32771, F32, 15) (dual of [32771, 32728, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(3243, 32768, F32, 15) (dual of [32768, 32725, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(3240, 32768, F32, 14) (dual of [32768, 32728, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(14) ⊂ Ce(13) [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(3251, 16407, F32, 2, 15) (dual of [(16407, 2), 32763, 16]-NRT-code) | [i] | OOA Folding | |