Information on Result #1080104
Linear OOA(2230, 2097180, F2, 4, 18) (dual of [(2097180, 4), 8388490, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(221, 29, F2, 4, 9) (dual of [(29, 4), 95, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 21, 29)-net over F2, using
- linear OOA(2209, 2097151, F2, 4, 18) (dual of [(2097151, 4), 8388395, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2209, 4194302, F2, 2, 18) (dual of [(4194302, 2), 8388395, 19]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2207, 4194301, F2, 2, 18) (dual of [(4194301, 2), 8388395, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2207, 8388602, F2, 18) (dual of [8388602, 8388395, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- OOA 2-folding [i] based on linear OA(2207, 8388602, F2, 18) (dual of [8388602, 8388395, 19]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2207, 4194301, F2, 2, 18) (dual of [(4194301, 2), 8388395, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2209, 4194302, F2, 2, 18) (dual of [(4194302, 2), 8388395, 19]-NRT-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(2230, 1048590, F2, 8, 18) (dual of [(1048590, 8), 8388490, 19]-NRT-code) | [i] | OOA Folding | |