Information on Result #697726
Linear OA(3277, 1064, F32, 33) (dual of [1064, 987, 34]-code), using construction X applied to Ce(32) ⊂ Ce(18) based on
- linear OA(3263, 1024, F32, 33) (dual of [1024, 961, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3237, 1024, F32, 19) (dual of [1024, 987, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3214, 40, F32, 13) (dual of [40, 26, 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(3277, 532, F32, 2, 33) (dual of [(532, 2), 987, 34]-NRT-code) | [i] | OOA Folding | |