Information on Result #1052020
Linear OOA(2205, 2097168, F2, 4, 17) (dual of [(2097168, 4), 8388467, 18]-NRT-code), using OOA 2-folding based on linear OOA(2205, 4194336, F2, 2, 17) (dual of [(4194336, 2), 8388467, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(220, 35, F2, 2, 8) (dual of [(35, 2), 50, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 20, 35)-net over F2, using
- linear OOA(2185, 4194301, F2, 2, 17) (dual of [(4194301, 2), 8388417, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2185, 8388602, F2, 17) (dual of [8388602, 8388417, 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 2-folding [i] based on linear OA(2185, 8388602, F2, 17) (dual of [8388602, 8388417, 18]-code), using
- linear OOA(220, 35, F2, 2, 8) (dual of [(35, 2), 50, 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.