Information on Result #697252
Linear OA(3298, 1071, F32, 41) (dual of [1071, 973, 42]-code), using construction X applied to C([0,20]) ⊂ C([0,12]) based on
- linear OA(3281, 1025, F32, 41) (dual of [1025, 944, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(3249, 1025, F32, 25) (dual of [1025, 976, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3217, 46, F32, 15) (dual of [46, 29, 16]-code), using
- construction X applied to AG(F,27P) ⊂ AG(F,29P) [i] based on
- linear OA(3216, 43, F32, 15) (dual of [43, 27, 16]-code), using algebraic-geometric code AG(F,27P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- 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 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,27P) ⊂ AG(F,29P) [i] based on
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.