Information on Result #1052574
Linear OOA(2260, 2097168, F2, 4, 21) (dual of [(2097168, 4), 8388412, 22]-NRT-code), using OOA 2-folding based on linear OOA(2260, 4194336, F2, 2, 21) (dual of [(4194336, 2), 8388412, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(229, 35, F2, 2, 10) (dual of [(35, 2), 41, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(29, 14, F2, 2, 5) (dual of [(14, 2), 19, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 9, 14)-net over F2, using
- linear OOA(220, 21, F2, 2, 10) (dual of [(21, 2), 22, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 20, 21)-net over F2, using
- linear OOA(29, 14, F2, 2, 5) (dual of [(14, 2), 19, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2231, 4194301, F2, 2, 21) (dual of [(4194301, 2), 8388371, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2231, 8388602, F2, 21) (dual of [8388602, 8388371, 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 2-folding [i] based on linear OA(2231, 8388602, F2, 21) (dual of [8388602, 8388371, 22]-code), using
- linear OOA(229, 35, F2, 2, 10) (dual of [(35, 2), 41, 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.