Information on Result #1175741
Linear OOA(2209, 1048619, F2, 8, 16) (dual of [(1048619, 8), 8388743, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(225, 44, F2, 8, 8) (dual of [(44, 8), 327, 9]-NRT-code), using
- appending kth column [i] based on linear OOA(225, 44, F2, 7, 8) (dual of [(44, 7), 283, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (17, 25, 44)-net over F2, using
- appending kth column [i] based on linear OOA(225, 44, F2, 7, 8) (dual of [(44, 7), 283, 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
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2209, 1048618, F2, 24, 16) (dual of [(1048618, 24), 25166623, 17]-NRT-code) | [i] | OOA Stacking with Additional Row | |