Information on Result #672921
Linear OA(2260, 2096, F2, 44) (dual of [2096, 1836, 45]-code), using construction X applied to C([0,22]) ⊂ C([0,18]) based on
- linear OA(2243, 2049, F2, 45) (dual of [2049, 1806, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(2199, 2049, F2, 37) (dual of [2049, 1850, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(217, 47, F2, 6) (dual of [47, 30, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(217, 48, F2, 6) (dual of [48, 31, 7]-code), using
- extracting embedded orthogonal array [i] based on digital (11, 17, 48)-net over F2, using
- discarding factors / shortening the dual code based on linear OA(217, 48, F2, 6) (dual of [48, 31, 7]-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.