Information on Result #1831559
OOA(2216, 4325382, S2, 2, 15), using (u, u+v)-construction based on
- OOA(254, 131081, S2, 2, 7), using
- OOA 2-folding [i] based on OA(254, 262162, S2, 7), using
- construction X applied to K(18) ⊂ DG(18,8) [i] based on
- OA(253, 262144, S2, 7), using Delsarte–Goethals OA DG(18,8) [i]
- OA(236, 262144, S2, 5), using Kerdock OA K(18) [i]
- linear OA(21, 18, F2, 1) (dual of [18, 17, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to K(18) ⊂ DG(18,8) [i] based on
- OOA 2-folding [i] based on OA(254, 262162, S2, 7), using
- linear OOA(2162, 4194301, F2, 2, 15) (dual of [(4194301, 2), 8388440, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2162, 8388602, F2, 15) (dual of [8388602, 8388440, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- OOA 2-folding [i] based on linear OA(2162, 8388602, F2, 15) (dual of [8388602, 8388440, 16]-code), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.