Information on Result #673219
Linear OA(2223, 537, F2, 49) (dual of [537, 314, 50]-code), using construction X applied to C([0,24]) ⊂ C([0,22]) based on
- linear OA(2217, 513, F2, 49) (dual of [513, 296, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 218−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(2199, 513, F2, 45) (dual of [513, 314, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 218−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(26, 24, F2, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), 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.