Information on Result #1159440
Linear OOA(2127, 1677756, F2, 7, 10) (dual of [(1677756, 7), 11744165, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(212, 36, F2, 7, 5) (dual of [(36, 7), 240, 6]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(212, 36, F2, 5, 5) (dual of [(36, 5), 168, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(212, 36, F2, 4, 5) (dual of [(36, 4), 132, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 12, 36)-net over F2, using
- appending kth column [i] based on linear OOA(212, 36, F2, 4, 5) (dual of [(36, 4), 132, 6]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(212, 36, F2, 5, 5) (dual of [(36, 5), 168, 6]-NRT-code), using
- linear OOA(2115, 1677720, F2, 7, 10) (dual of [(1677720, 7), 11743925, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(2115, 8388600, F2, 10) (dual of [8388600, 8388485, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2115, large, F2, 10) (dual of [large, large−115, 11]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(2115, large, F2, 10) (dual of [large, large−115, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(2115, 8388600, F2, 10) (dual of [8388600, 8388485, 11]-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.