Information on Result #1159770
Linear OOA(2169, 1198374, F2, 7, 15) (dual of [(1198374, 7), 8388449, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(27, 3, F2, 7, 7) (dual of [(3, 7), 14, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(7;14,2) [i]
- linear OOA(2162, 1198371, F2, 7, 15) (dual of [(1198371, 7), 8388435, 16]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2162, 8388597, F2, 15) (dual of [8388597, 8388435, 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 7-folding [i] based on linear OA(2162, 8388597, F2, 15) (dual of [8388597, 8388435, 16]-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(2234, 2396748, F2, 7, 15) (dual of [(2396748, 7), 16777002, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2169, 1198373, F2, 8, 15) (dual of [(1198373, 8), 9586815, 16]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(2169, 1198373, F2, 21, 15) (dual of [(1198373, 21), 25165664, 16]-NRT-code) | [i] | ||