Information on Result #697206
Linear OA(3289, 1061, F32, 39) (dual of [1061, 972, 40]-code), using construction X applied to C([0,19]) ⊂ C([0,13]) based on
- linear OA(3277, 1025, F32, 39) (dual of [1025, 948, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (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(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.