Information on Result #1115342
Linear OOA(2114, 2099197, F2, 5, 8) (dual of [(2099197, 5), 10495871, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(222, 2047, F2, 5, 4) (dual of [(2047, 5), 10213, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(222, 2047, F2, 4, 4) (dual of [(2047, 4), 8166, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(222, 2047, F2, 3, 4) (dual of [(2047, 3), 6119, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (18, 22, 2047)-net over F2, using
- appending kth column [i] based on linear OOA(222, 2047, F2, 3, 4) (dual of [(2047, 3), 6119, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(222, 2047, F2, 4, 4) (dual of [(2047, 4), 8166, 5]-NRT-code), using
- linear OOA(292, 2097150, F2, 5, 8) (dual of [(2097150, 5), 10485658, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(292, 8388600, F2, 8) (dual of [8388600, 8388508, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(292, large, F2, 8) (dual of [large, large−92, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(292, large, F2, 8) (dual of [large, large−92, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(292, 8388600, F2, 8) (dual of [8388600, 8388508, 9]-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.