Information on Result #1009303
Linear OOA(2180, 2796242, F2, 3, 15) (dual of [(2796242, 3), 8388546, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(218, 41, F2, 3, 7) (dual of [(41, 3), 105, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 18, 41)-net over F2, using
- linear OOA(2162, 2796201, F2, 3, 15) (dual of [(2796201, 3), 8388441, 16]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 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(2248, 5592484, F2, 3, 15) (dual of [(5592484, 3), 16777204, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2180, 1398121, F2, 6, 15) (dual of [(1398121, 6), 8388546, 16]-NRT-code) | [i] | OOA Folding | |