Information on Result #2523654
OOA(2169, 4194818, S2, 2, 13), using 21 times duplication based on OOA(2168, 4194818, S2, 2, 13), using
- (u, u+v)-construction [i] based on
- OOA(229, 517, S2, 2, 6), using
- OOA 2-folding [i] based on OA(229, 1034, S2, 6), using
- 1 times truncation [i] based on OA(230, 1035, S2, 7), using
- construction X4 applied to K(10) ⊂ DG(10,4) [i] based on
- OA(229, 1024, S2, 7), using Delsarte–Goethals OA DG(10,4) [i]
- OA(220, 1024, S2, 5), using Kerdock OA K(10) [i]
- linear OA(210, 11, F2, 9) (dual of [11, 1, 10]-code), using
- strength reduction [i] based on linear OA(210, 11, F2, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,2)), using
- dual of repetition code with length 11 [i]
- strength reduction [i] based on linear OA(210, 11, F2, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,2)), using
- linear OA(21, 11, F2, 1) (dual of [11, 10, 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(10) ⊂ DG(10,4) [i] based on
- 1 times truncation [i] based on OA(230, 1035, S2, 7), using
- OOA 2-folding [i] based on OA(229, 1034, S2, 6), using
- linear OOA(2139, 4194301, F2, 2, 13) (dual of [(4194301, 2), 8388463, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2139, 8388602, F2, 13) (dual of [8388602, 8388463, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- OOA 2-folding [i] based on linear OA(2139, 8388602, F2, 13) (dual of [8388602, 8388463, 14]-code), using
- OOA(229, 517, S2, 2, 6), 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.