Information on Result #697238
Linear OA(3275, 1067, F32, 31) (dual of [1067, 992, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,8]) based on
- linear OA(3261, 1025, F32, 31) (dual of [1025, 964, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3233, 1025, F32, 17) (dual of [1025, 992, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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.