Information on Result #696792
Linear OA(3299, 32819, F32, 29) (dual of [32819, 32720, 30]-code), using construction X applied to C([0,14]) ⊂ C([0,8]) based on
- linear OA(3285, 32769, F32, 29) (dual of [32769, 32684, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(3249, 32769, F32, 17) (dual of [32769, 32720, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(3214, 50, F32, 11) (dual of [50, 36, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(3214, 63, F32, 11) (dual of [63, 49, 12]-code), using
- algebraic-geometric code AG(F,51P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(3214, 63, F32, 11) (dual of [63, 49, 12]-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(3299, 16409, F32, 2, 29) (dual of [(16409, 2), 32719, 30]-NRT-code) | [i] | OOA Folding | |