Information on Result #1115847
Linear OOA(2232, 3355442, F2, 5, 15) (dual of [(3355442, 5), 16776978, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(265, 2097150, F2, 5, 7) (dual of [(2097150, 5), 10485685, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(265, 2097151, F2, 3, 7) (dual of [(2097151, 3), 6291388, 8]-NRT-code), using
- linear OOA(2167, 1677721, F2, 5, 15) (dual of [(1677721, 5), 8388438, 16]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2162, 1677720, F2, 5, 15) (dual of [(1677720, 5), 8388438, 16]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2162, 8388600, F2, 15) (dual of [8388600, 8388438, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- OOA 5-folding [i] based on linear OA(2162, 8388600, F2, 15) (dual of [8388600, 8388438, 16]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2162, 1677720, F2, 5, 15) (dual of [(1677720, 5), 8388438, 16]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2232, 3355442, F2, 5, 14) (dual of [(3355442, 5), 16776978, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2233, 3355442, F2, 5, 15) (dual of [(3355442, 5), 16776977, 16]-NRT-code) | [i] | OOA Duplication | |