Information on Result #1080072
Linear OOA(2206, 2097189, F2, 4, 17) (dual of [(2097189, 4), 8388550, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(221, 39, F2, 4, 8) (dual of [(39, 4), 135, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 21, 39)-net over F2, using
- linear OOA(2185, 2097150, F2, 4, 17) (dual of [(2097150, 4), 8388415, 18]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- OOA 4-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-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(2206, 2097189, F2, 4, 16) (dual of [(2097189, 4), 8388550, 17]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2207, 2097189, F2, 4, 17) (dual of [(2097189, 4), 8388549, 18]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2206, 1048594, F2, 8, 17) (dual of [(1048594, 8), 8388546, 18]-NRT-code) | [i] | OOA Folding | |