Information on Result #1143679
Linear OOA(2256, 2797220, F2, 6, 15) (dual of [(2797220, 6), 16783064, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(265, 2097150, F2, 6, 7) (dual of [(2097150, 6), 12582835, 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(2191, 1398610, F2, 6, 15) (dual of [(1398610, 6), 8391469, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(229, 510, F2, 6, 7) (dual of [(510, 6), 3031, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(229, 511, F2, 3, 7) (dual of [(511, 3), 1504, 8]-NRT-code), using
- linear OOA(2162, 1398100, F2, 6, 15) (dual of [(1398100, 6), 8388438, 16]-NRT-code), using
- OOA 6-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 6-folding [i] based on linear OA(2162, 8388600, F2, 15) (dual of [8388600, 8388438, 16]-code), using
- linear OOA(229, 510, F2, 6, 7) (dual of [(510, 6), 3031, 8]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2256, 2797220, F2, 6, 14) (dual of [(2797220, 6), 16783064, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2257, 2797220, F2, 6, 15) (dual of [(2797220, 6), 16783063, 16]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2258, 2797220, F2, 6, 15) (dual of [(2797220, 6), 16783062, 16]-NRT-code) | [i] | ||