Information on Result #1175668
Linear OOA(2169, 1198374, F2, 8, 15) (dual of [(1198374, 8), 9586823, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(27, 3, F2, 8, 7) (dual of [(3, 8), 17, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(8;17,2) [i]
- linear OOA(2162, 1198371, F2, 8, 15) (dual of [(1198371, 8), 9586806, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2162, 8388598, F2, 15) (dual of [8388598, 8388436, 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 and stacking with additional row [i] based on linear OA(2162, 8388598, F2, 15) (dual of [8388598, 8388436, 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, 8, 15) (dual of [(2396748, 8), 19173750, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |