Information on Result #1181436
Digital (196, 213, 1048627)-net over F2, using net defined by OOA based on linear OOA(2213, 1048627, F2, 24, 17) (dual of [(1048627, 24), 25166835, 18]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2213, 1048628, F2, 8, 17) (dual of [(1048628, 8), 8388811, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(228, 53, F2, 8, 8) (dual of [(53, 8), 396, 9]-NRT-code), using
- appending kth column [i] based on linear OOA(228, 53, F2, 7, 8) (dual of [(53, 7), 343, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(29, 23, F2, 7, 4) (dual of [(23, 7), 152, 5]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(29, 23, F2, 4, 4) (dual of [(23, 4), 83, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(29, 23, F2, 3, 4) (dual of [(23, 3), 60, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 9, 23)-net over F2, using
- appending kth column [i] based on linear OOA(29, 23, F2, 3, 4) (dual of [(23, 3), 60, 5]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(29, 23, F2, 4, 4) (dual of [(23, 4), 83, 5]-NRT-code), using
- linear OOA(219, 30, F2, 7, 8) (dual of [(30, 7), 191, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 19, 30)-net over F2, using
- linear OOA(29, 23, F2, 7, 4) (dual of [(23, 7), 152, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- appending kth column [i] based on linear OOA(228, 53, F2, 7, 8) (dual of [(53, 7), 343, 9]-NRT-code), using
- linear OOA(2185, 1048575, F2, 8, 17) (dual of [(1048575, 8), 8388415, 18]-NRT-code), using
- OOA 8-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- OOA 8-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
- linear OOA(228, 53, F2, 8, 8) (dual of [(53, 8), 396, 9]-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.