Information on Result #1831536
OOA(2216, 4325383, S2, 2, 14), using (u, u+v)-construction based on
- OOA(255, 131082, S2, 2, 7), using
- OOA 2-folding [i] based on OA(255, 262164, S2, 7), using
- 1 times code embedding in larger space [i] based on OA(254, 262163, S2, 7), using
- construction X4 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(218, 19, F2, 17) (dual of [19, 1, 18]-code), using
- strength reduction [i] based on linear OA(218, 19, F2, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,2)), using
- dual of repetition code with length 19 [i]
- strength reduction [i] based on linear OA(218, 19, F2, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,2)), using
- linear OA(21, 19, F2, 1) (dual of [19, 18, 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 X4 applied to K(18) ⊂ DG(18,8) [i] based on
- 1 times code embedding in larger space [i] based on OA(254, 262163, S2, 7), using
- OOA 2-folding [i] based on OA(255, 262164, S2, 7), using
- linear OOA(2161, 4194301, F2, 2, 14) (dual of [(4194301, 2), 8388441, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-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.