Information on Result #1181438
Digital (197, 214, 1048634)-net over F2, using net defined by OOA based on linear OOA(2214, 1048634, F2, 24, 17) (dual of [(1048634, 24), 25167002, 18]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2214, 1048635, F2, 8, 17) (dual of [(1048635, 8), 8388866, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(229, 60, F2, 8, 8) (dual of [(60, 8), 451, 9]-NRT-code), using
- appending kth column [i] based on linear OOA(229, 60, F2, 7, 8) (dual of [(60, 7), 391, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(210, 32, F2, 7, 4) (dual of [(32, 7), 214, 5]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(210, 32, F2, 4, 4) (dual of [(32, 4), 118, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(210, 32, F2, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 10, 32)-net over F2, using
- appending kth column [i] based on linear OOA(210, 32, F2, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(210, 32, F2, 4, 4) (dual of [(32, 4), 118, 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(210, 32, F2, 7, 4) (dual of [(32, 7), 214, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- appending kth column [i] based on linear OOA(229, 60, F2, 7, 8) (dual of [(60, 7), 391, 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(229, 60, F2, 8, 8) (dual of [(60, 8), 451, 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.