Information on Result #1150137
Linear OOA(2108, 2097406, F2, 7, 8) (dual of [(2097406, 7), 14681734, 9]-NRT-code), using OOA stacking with additional row based on linear OOA(2108, 2097407, F2, 4, 8) (dual of [(2097407, 4), 8389520, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(216, 257, F2, 4, 4) (dual of [(257, 4), 1012, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(216, 257, F2, 3, 4) (dual of [(257, 3), 755, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 16, 257)-net over F2, using
- appending kth column [i] based on linear OOA(216, 257, F2, 3, 4) (dual of [(257, 3), 755, 5]-NRT-code), using
- linear OOA(292, 2097150, F2, 4, 8) (dual of [(2097150, 4), 8388508, 9]-NRT-code), using
- OOA 4-folding [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
- OOA 4-folding [i] based on linear OA(292, 8388600, F2, 8) (dual of [8388600, 8388508, 9]-code), using
- linear OOA(216, 257, F2, 4, 4) (dual of [(257, 4), 1012, 5]-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.