Information on Result #2997416
Linear OOA(2253, 1048598, F2, 8, 21) (dual of [(1048598, 8), 8388531, 22]-NRT-code), using 21 times duplication based on linear OOA(2252, 1048598, F2, 8, 21) (dual of [(1048598, 8), 8388532, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(221, 23, F2, 8, 10) (dual of [(23, 8), 163, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 21, 23)-net over F2, using
- linear OOA(2231, 1048575, F2, 8, 21) (dual of [(1048575, 8), 8388369, 22]-NRT-code), using
- OOA 8-folding [i] based on linear OA(2231, 8388600, F2, 21) (dual of [8388600, 8388369, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- OOA 8-folding [i] based on linear OA(2231, 8388600, F2, 21) (dual of [8388600, 8388369, 22]-code), using
- linear OOA(221, 23, F2, 8, 10) (dual of [(23, 8), 163, 11]-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.