Information on Result #673045
Linear OA(2240, 1084, F2, 45) (dual of [1084, 844, 46]-code), using construction X applied to C([0,22]) ⊂ C([0,18]) based on
- linear OA(2221, 1025, F2, 45) (dual of [1025, 804, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(2181, 1025, F2, 37) (dual of [1025, 844, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(219, 59, F2, 7) (dual of [59, 40, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(219, 63, F2, 7) (dual of [63, 44, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(219, 63, F2, 7) (dual of [63, 44, 8]-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.