Information on Result #1143704
Linear OOA(2205, 1398139, F2, 6, 16) (dual of [(1398139, 6), 8388629, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(221, 39, F2, 6, 8) (dual of [(39, 6), 213, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 21, 39)-net over F2, using
- linear OOA(2184, 1398100, F2, 6, 16) (dual of [(1398100, 6), 8388416, 17]-NRT-code), using
- OOA 6-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 6-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(2207, 1398139, F2, 6, 16) (dual of [(1398139, 6), 8388627, 17]-NRT-code) | [i] | OOA Duplication | |