Information on Result #697229
Linear OA(32110, 1066, F32, 48) (dual of [1066, 956, 49]-code), using construction X applied to C([0,24]) ⊂ C([0,17]) based on
- linear OA(3297, 1025, F32, 49) (dual of [1025, 928, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(3269, 1025, F32, 35) (dual of [1025, 956, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(3213, 41, F32, 12) (dual of [41, 28, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3213, 43, F32, 12) (dual of [43, 30, 13]-code), using
- algebraic-geometric code AG(F,30P) [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(3213, 43, F32, 12) (dual of [43, 30, 13]-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.