Information on Result #1080002
Linear OOA(2250, 4194427, F2, 4, 15) (dual of [(4194427, 4), 16777458, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(265, 2097150, F2, 4, 7) (dual of [(2097150, 4), 8388535, 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(2185, 2097277, F2, 4, 15) (dual of [(2097277, 4), 8388923, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(223, 127, F2, 4, 7) (dual of [(127, 4), 485, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (16, 23, 127)-net over F2, using
- linear OOA(2162, 2097150, F2, 4, 15) (dual of [(2097150, 4), 8388438, 16]-NRT-code), using
- OOA 4-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 4-folding [i] based on linear OA(2162, 8388600, F2, 15) (dual of [8388600, 8388438, 16]-code), using
- linear OOA(223, 127, F2, 4, 7) (dual of [(127, 4), 485, 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(2250, 2097213, F2, 7, 15) (dual of [(2097213, 7), 14680241, 16]-NRT-code) | [i] | OOA Folding | |