Information on Result #1181020
Digital (188, 203, 1206561)-net over F2, using net defined by OOA based on linear OOA(2203, 1206561, F2, 21, 15) (dual of [(1206561, 21), 25337578, 16]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2203, 1206562, F2, 7, 15) (dual of [(1206562, 7), 8445731, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(241, 8191, F2, 7, 7) (dual of [(8191, 7), 57296, 8]-NRT-code), using
- appending kth column [i] based on linear OOA(241, 8191, F2, 6, 7) (dual of [(8191, 6), 49105, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (34, 41, 8191)-net over F2, using
- appending kth column [i] based on linear OOA(241, 8191, F2, 6, 7) (dual of [(8191, 6), 49105, 8]-NRT-code), using
- linear OOA(2162, 1198371, F2, 7, 15) (dual of [(1198371, 7), 8388435, 16]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2162, 8388597, F2, 15) (dual of [8388597, 8388435, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- OOA 7-folding [i] based on linear OA(2162, 8388597, F2, 15) (dual of [8388597, 8388435, 16]-code), using
- linear OOA(241, 8191, F2, 7, 7) (dual of [(8191, 7), 57296, 8]-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.