Information on Result #697259
Linear OA(32109, 1081, F32, 45) (dual of [1081, 972, 46]-code), using construction X applied to C([0,22]) ⊂ C([0,13]) based on
- linear OA(3289, 1025, F32, 45) (dual of [1025, 936, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(3253, 1025, F32, 27) (dual of [1025, 972, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(3220, 56, F32, 17) (dual of [56, 36, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3220, 63, F32, 17) (dual of [63, 43, 18]-code), using
- algebraic-geometric code AG(F,45P) [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(3220, 63, F32, 17) (dual of [63, 43, 18]-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.