Information on Result #1206308
Digital (214, 233, 932100)-net over F2, using (u, u+v)-construction based on
- digital (16, 25, 34)-net over F2, using
- net defined by OOA [i] based on linear OOA(225, 34, F2, 9, 9) (dual of [(34, 9), 281, 10]-NRT-code), using
- appending kth column [i] based on linear OOA(225, 34, F2, 8, 9) (dual of [(34, 8), 247, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(28, 17, F2, 8, 4) (dual of [(17, 8), 128, 5]-NRT-code), using
- appending 4 arbitrary columns [i] based on linear OOA(28, 17, F2, 4, 4) (dual of [(17, 4), 60, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(28, 17, F2, 3, 4) (dual of [(17, 3), 43, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 8, 17)-net over F2, using
- appending kth column [i] based on linear OOA(28, 17, F2, 3, 4) (dual of [(17, 3), 43, 5]-NRT-code), using
- appending 4 arbitrary columns [i] based on linear OOA(28, 17, F2, 4, 4) (dual of [(17, 4), 60, 5]-NRT-code), using
- linear OOA(217, 17, F2, 8, 9) (dual of [(17, 8), 119, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 17, 17)-net over F2, using
- linear OOA(28, 17, F2, 8, 4) (dual of [(17, 8), 128, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- appending kth column [i] based on linear OOA(225, 34, F2, 8, 9) (dual of [(34, 8), 247, 10]-NRT-code), using
- net defined by OOA [i] based on linear OOA(225, 34, F2, 9, 9) (dual of [(34, 9), 281, 10]-NRT-code), using
- digital (189, 208, 932066)-net over F2, using
- net defined by OOA [i] based on linear OOA(2208, 932066, F2, 19, 19) (dual of [(932066, 19), 17709046, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(2208, 8388595, F2, 19) (dual of [8388595, 8388387, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(2208, 8388595, F2, 19) (dual of [8388595, 8388387, 20]-code), using
- net defined by OOA [i] based on linear OOA(2208, 932066, F2, 19, 19) (dual of [(932066, 19), 17709046, 20]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.