Information on Result #1831503
OOA(2161, 4194433, S2, 2, 12), using (u, u+v)-construction based on
- OOA(223, 132, S2, 2, 6), using
- OOA 2-folding [i] based on OA(223, 264, S2, 6), using
- 1 times truncation [i] based on OA(224, 265, S2, 7), using
- construction X4 applied to K(8) ⊂ DG(8,3) [i] based on
- OA(223, 256, S2, 7), using Delsarte–Goethals OA DG(8,3) [i]
- OA(216, 256, S2, 5), using Kerdock OA K(8) [i]
- linear OA(28, 9, F2, 7) (dual of [9, 1, 8]-code), using
- strength reduction [i] based on linear OA(28, 9, F2, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,2)), using
- dual of repetition code with length 9 [i]
- strength reduction [i] based on linear OA(28, 9, F2, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,2)), using
- linear OA(21, 9, F2, 1) (dual of [9, 8, 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(8) ⊂ DG(8,3) [i] based on
- 1 times truncation [i] based on OA(224, 265, S2, 7), using
- OOA 2-folding [i] based on OA(223, 264, S2, 6), using
- linear OOA(2138, 4194301, F2, 2, 12) (dual of [(4194301, 2), 8388464, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2138, 8388602, F2, 12) (dual of [8388602, 8388464, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- OOA 2-folding [i] based on linear OA(2138, 8388602, F2, 12) (dual of [8388602, 8388464, 13]-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.