Information on Result #1164238
Linear OOA(2109, 2097406, F2, 8, 9) (dual of [(2097406, 8), 16779139, 10]-NRT-code), using OOA stacking with additional row based on linear OOA(2109, 2097407, F2, 4, 9) (dual of [(2097407, 4), 8389519, 10]-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(293, 2097150, F2, 4, 9) (dual of [(2097150, 4), 8388507, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(293, 8388600, F2, 9) (dual of [8388600, 8388507, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using
- OOA 4-folding [i] based on linear OA(293, 8388600, F2, 9) (dual of [8388600, 8388507, 10]-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.