Information on Result #1131517
Linear OOA(2257, 1441791, F2, 6, 17) (dual of [(1441791, 6), 8650489, 18]-NRT-code), using OOA 3-folding based on linear OOA(2257, 4325373, F2, 2, 17) (dual of [(4325373, 2), 8650489, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(272, 131072, F2, 2, 8) (dual of [(131072, 2), 262072, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(272, 262144, F2, 8) (dual of [262144, 262072, 9]-code), using
- 1 times truncation [i] based on linear OA(273, 262145, F2, 9) (dual of [262145, 262072, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(273, 262145, F2, 9) (dual of [262145, 262072, 10]-code), using
- OOA 2-folding [i] based on linear OA(272, 262144, F2, 8) (dual of [262144, 262072, 9]-code), using
- linear OOA(2185, 4194301, F2, 2, 17) (dual of [(4194301, 2), 8388417, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2185, 8388602, F2, 17) (dual of [8388602, 8388417, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- OOA 2-folding [i] based on linear OA(2185, 8388602, F2, 17) (dual of [8388602, 8388417, 18]-code), using
- linear OOA(272, 131072, F2, 2, 8) (dual of [(131072, 2), 262072, 9]-NRT-code), using
Mode: Constructive and linear.
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.