Information on Result #1180582
Digital (182, 195, 1660241)-net over F2, using net defined by OOA based on linear OOA(2195, 1660241, F2, 18, 13) (dual of [(1660241, 18), 29884143, 14]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2195, 1660242, F2, 6, 13) (dual of [(1660242, 6), 9961257, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(256, 262142, F2, 6, 6) (dual of [(262142, 6), 1572796, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(256, 262143, F2, 3, 6) (dual of [(262143, 3), 786373, 7]-NRT-code), using
- strength reduction [i] based on linear OOA(256, 262143, F2, 3, 7) (dual of [(262143, 3), 786373, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(256, 262143, F2, 3, 6) (dual of [(262143, 3), 786373, 7]-NRT-code), using
- linear OOA(2139, 1398100, F2, 6, 13) (dual of [(1398100, 6), 8388461, 14]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 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 6-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 14]-code), using
- linear OOA(256, 262142, F2, 6, 6) (dual of [(262142, 6), 1572796, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.