Information on Result #2997017
Linear OOA(2209, 1048614, F2, 8, 17) (dual of [(1048614, 8), 8388703, 18]-NRT-code), using 23 times duplication based on linear OOA(2206, 1048614, F2, 8, 17) (dual of [(1048614, 8), 8388706, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(221, 39, F2, 8, 8) (dual of [(39, 8), 291, 9]-NRT-code), using
- appending kth column [i] based on linear OOA(221, 39, F2, 7, 8) (dual of [(39, 7), 252, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 21, 39)-net over F2, using
- appending kth column [i] based on linear OOA(221, 39, F2, 7, 8) (dual of [(39, 7), 252, 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(221, 39, F2, 8, 8) (dual of [(39, 8), 291, 9]-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.