Information on Result #1181220
Digital (198, 214, 1048641)-net over F2, using net defined by OOA based on linear OOA(2214, 1048641, F2, 24, 16) (dual of [(1048641, 24), 25167170, 17]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2214, 1048642, F2, 8, 16) (dual of [(1048642, 8), 8388922, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(230, 67, F2, 8, 8) (dual of [(67, 8), 506, 9]-NRT-code), using
- appending kth column [i] based on linear OOA(230, 67, F2, 7, 8) (dual of [(67, 7), 439, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(210, 32, F2, 7, 4) (dual of [(32, 7), 214, 5]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(210, 32, F2, 4, 4) (dual of [(32, 4), 118, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(210, 32, F2, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 10, 32)-net over F2, using
- appending kth column [i] based on linear OOA(210, 32, F2, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(210, 32, F2, 4, 4) (dual of [(32, 4), 118, 5]-NRT-code), using
- linear OOA(220, 35, F2, 7, 8) (dual of [(35, 7), 225, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 20, 35)-net over F2, using
- linear OOA(210, 32, F2, 7, 4) (dual of [(32, 7), 214, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- appending kth column [i] based on linear OOA(230, 67, F2, 7, 8) (dual of [(67, 7), 439, 9]-NRT-code), using
- linear OOA(2184, 1048575, F2, 8, 16) (dual of [(1048575, 8), 8388416, 17]-NRT-code), using
- OOA 8-folding [i] based on linear OA(2184, 8388600, F2, 16) (dual of [8388600, 8388416, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- OOA 8-folding [i] based on linear OA(2184, 8388600, F2, 16) (dual of [8388600, 8388416, 17]-code), using
- linear OOA(230, 67, F2, 8, 8) (dual of [(67, 8), 506, 9]-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.