Information on Result #733979
Linear OA(3296, 32869, F32, 26) (dual of [32869, 32773, 27]-code), using (u, u+v)-construction based on
- linear OA(3220, 98, F32, 13) (dual of [98, 78, 14]-code), using
- extended algebraic-geometric code AGe(F,84P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- linear OA(3276, 32771, F32, 26) (dual of [32771, 32695, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(3276, 32768, F32, 26) (dual of [32768, 32692, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3273, 32768, F32, 25) (dual of [32768, 32695, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(25) ⊂ Ce(24) [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(3296, 16434, F32, 2, 26) (dual of [(16434, 2), 32772, 27]-NRT-code) | [i] | OOA Folding | |