Information on Result #1079878
Linear OOA(2222, 2621438, F2, 4, 14) (dual of [(2621438, 4), 10485530, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(259, 524287, F2, 4, 7) (dual of [(524287, 4), 2097089, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (52, 59, 524287)-net over F2, using
- linear OOA(2163, 2097151, F2, 4, 14) (dual of [(2097151, 4), 8388441, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2163, 4194302, F2, 2, 14) (dual of [(4194302, 2), 8388441, 15]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2161, 4194301, F2, 2, 14) (dual of [(4194301, 2), 8388441, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2161, 4194301, F2, 2, 14) (dual of [(4194301, 2), 8388441, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2163, 4194302, F2, 2, 14) (dual of [(4194302, 2), 8388441, 15]-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(2222, 1310719, F2, 7, 14) (dual of [(1310719, 7), 9174811, 15]-NRT-code) | [i] | OOA Folding | |