Information on Result #697239
Linear OA(3271, 1067, F32, 29) (dual of [1067, 996, 30]-code), using construction X applied to C([0,14]) ⊂ C([0,7]) based on
- linear OA(3257, 1025, F32, 29) (dual of [1025, 968, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(3229, 1025, F32, 15) (dual of [1025, 996, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(3214, 42, F32, 13) (dual of [42, 28, 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
None.