Information on Result #697197
Linear OA(32101, 1061, F32, 45) (dual of [1061, 960, 46]-code), using construction X applied to C([0,22]) ⊂ C([0,16]) 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(3265, 1025, F32, 33) (dual of [1025, 960, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(3212, 36, F32, 11) (dual of [36, 24, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(3212, 43, F32, 11) (dual of [43, 31, 12]-code), using
- algebraic-geometric code AG(F,31P) [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(3212, 43, F32, 11) (dual of [43, 31, 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
None.