Information on Result #697725
Linear OA(3278, 1063, F32, 34) (dual of [1063, 985, 35]-code), using construction X applied to Ce(33) ⊂ Ce(19) based on
- linear OA(3264, 1024, F32, 34) (dual of [1024, 960, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3239, 1024, F32, 20) (dual of [1024, 985, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3214, 39, F32, 13) (dual of [39, 25, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3214, 43, F32, 13) (dual of [43, 29, 14]-code), using
- algebraic-geometric code AG(F,29P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- discarding factors / shortening the dual code based on linear OA(3214, 43, F32, 13) (dual of [43, 29, 14]-code), 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 | Linear OOA(3278, 531, F32, 2, 34) (dual of [(531, 2), 984, 35]-NRT-code) | [i] | OOA Folding | |